Notes to Accompany a Course on Cosmology by: Brother Francis, M.I.C.M.
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Resúmen de los capítulos 1 y 2 del libro Scientific and tecnical translation explained, de Jody ByrneDescrição completa
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Astrology of Autism
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COSMOLOGY AND
SCIENTIFIC ASTROLOGY FRANZ ANTON MESMER
CURATED BY EGIDIO MARIA BRUNO PRESTA
FIRST PART _________ Summary
In this first art !" !i## $i%" a $"n"ra# i&"a 'f th" matt"r an& th" m'%"m"nt( Th"y !i## &"t"rmin" th" #a!s 'f m'ti'n( It !i## a#y m'%"m"nt f'##'!in$ th" #a!s that &"t"rmin"& th" matt"r( Fr'm this a#i)ati'n !i## *" th" &"%"#'m"nt 'f th" f'rms 'r th" $"n"rati'n 'f *'&i"s+ "s")ia##y 'f th" )"#"stia# *'&i"s, an& this &"%"#'m"nt 'r this $"n"rati'n "-#ain"&+ !i## s"a. a*'ut th" a)ti'n that th" h"a%"n#y *'&i"s "-"rt 'n "a)h 'th"r+ !hat )'nstitut"s th"ir mutua# inf#u"n)" 'r Uni%"rsa# Ma$n"tism 'f natur"( / 0 Th"r" is an un)r"at"& rin)i#"1 G'& Th"r" ar" t!' rin)i#"s in natur" )r"at"&1 Matt"r an& M'ti'n
2 0 Th" matt"r )'nsi&"r"& in th" a*stra)t an& *"f'r" th" "-ist"n)" 'f f'rms is )a##"& "#"m"ntary matt"r( Y'u )an n't *" a 'siti%" i&"a E#"m"ntary matt"r1 it is #a)"& *"t!""n *"in$ sim#" an& th" *"$innin$ It is )'m's"&( 3A4 5 0 Th" im"n"tra*i#ity is th" "ss"n)" 'f th" matt"r, is it that ma."s that 'n" 'f its arts &'"s n't $"t int' th" 'th"r(
6 0 Th" matt"r is in&iff"r"nt t' r"st an& m'%"m"nt( Th" 7ui"t 'f th" matt"r is th" str"n$th+ s' a mass 'f matt"r is s'#i& !h"n a## its arts ar" at r"st *"t!""n th"m( Th" m'%"m"nt 'f matt"r )'nstitut"s th" f#ui&ity+ s' a mass 'f mat"ria# is f#ui& !h"n a## its arts m'%" *"t!""n th"m( 8 0 In th" matt"r in m'ti'n 'r f#ui&+ if t!' 'r m'r" arts 'f matt"r 'r at'ms ar" ut at r"st+ r"su#ts fr'm this 7ui"t stat" 'f affairs that )a##"& )'m*inati'n( In a## )'m*inati'ns it !i## )'nstitut" a r"'rt arti)u#ar that &i& n't "-ist *"f'r"+ first *"t!""n at'ms that is ut at r"st+ f'##'!in$ *"t!""n at'ms that ar" ut at r"st an& at'ms !hi)h ."" m'%in$( 3B4 3A4 Th" rimary matt"r is n't *"in$ sim#" *")aus" t' *" sim#" is a *"in$ that is )'n)"i%"& !ith'ut "-t"nsi'n+ an& that !ith a *"in$ !ith'ut "-t"nsi'n &'"s n't &' a *"in$ !ith "-t"nsi'n su)h as *"in$ )'m's"&( This is n't "%"n *"in$ ma&" u as it is !ith matt"r "#"m"ntary it &'"s th" )'nsist( E#"m"nta# matt"r is a ass"m*#y 'f at'ms %i"!"& as in&i%isi*#"+ an& that f'r this n't th"y )an *" &")'m's"&+ an& sin)" th"y )an n't *" &")'m's"& th"y s"r%" t' th" )'m'siti'n 'f a## *'&i"s( 3B4 If a mass 'f matt"r is a*s'#ut"#y firm 'r a*s'#ut"#y f#ui&+ a## th" at'ms that )'m's" "-ist in th" sam" mann"r an& in th" sam" r"#ati'nshi an& y'u &' n't ha%" th" i&"a 'f any )'m*inati'n( th" )'m*inati'ns that &' n't *"$in at th" m'm"nt !h"n th" at'ms m'%" in th" mi&st 'f th" at'ms that ar" at r"st 'r in th" m'm"nt in !hi)h th" at'ms ar" in 7ui"t *"t!""n th" at'ms that m'%"( Th" stat" 'f )'m*inati'n )an th"r"f'r" *" &"fin"& as a stat" 'f r"'rt fr'm matt"r in m'ti'n t' matt"r at r"st+ 'r fr'm th" matt"r at r"st t' matt"r in m'ti'n+ 'r sim#y a stat" 'f m'%"m"nt r"'rt th" 7ui"t an& th" "a)" m'%"m"nt in matt"r( 9 0 Th"r" ar" &iff"r"nt )'m*inati'ns 'f matt"r !hi)h is th" )aus" an& r"as'n f'r a## that is 'ssi*#" in natur"+ 'f a## %ari"ti"s am'n$ th" sha"s an& r'"rti"s( : 0 Th" i&"as that !" ha%" 'f th" &iff"r"nt )'m*inati'ns 'f num*"rs 'r arithm"ti) 7uantity may s"r%" t' #"t us .n'! th" imm"nsity 'f )'m*inati'ns 'f matt"r 'r un)'unta*i#ity 'f its &"%"#'m"nt f'rms( A num*"r 'r an arithm"ti) 7uantity is )'m's"& 'f units1 y'u )an th"r"f'r" a#s' )'nsi&"r th" matt"r as )'m's"& 'f units( A num*"r is )'m'un& 'r ass"m*#"& units 'n" *y 'n"+ th"s" ar" th" num*"rs 2( 5( 6( that )an *" )'nsi&"r"& as r"s'#%"nts in t!'+ int' thr""+ in f'ur units 3Fi$(24+ 'r "7ua# am'unts 'f unity+ this is th" num*"r nin" that y'u )an )'nsi&"r as r"s'#%"nt int' thr"" tria&s+ 'r in thr"" "7ua# sums 'f units( 3Fi$(54 Or 'f un"7ua# am'unts 'f units+ su)h is th" num*"r s"%"n+ !hi)h )an *"
)'nsi&"r"& as r"s'#%in$ int' a 7ua&ru#"t an& th" ;a).'t 'r t!' sums un"7ua# 'f unity( 3Fi$(64 Ar" thr"" .in&s 'f )'m*inati'ns 'f arithm"ti) 7uantity that )an a## $' t' infinity( Y'u ha%"+ th"r"f'r"+ in thr"" s")i"s 'f matt"r )'m*inati'ns 'f units 'r "#"m"ntary at'ms that )an $' a## infinitum(
< 0 As a unit in num*"rs &'"s n't &iff"r fr'm an'th"r+ in a matt"r at'm &'"s n't &iff"r fr'm an'th"r at'm( It=s )a##"& h'm'$"n"'us !h'#" )'m's"& 'f arts !hi)h &' n't &iff"r 'r that th"y r"s"m*#" "a)h 'th"r( It=s )a##"& h"t"r'$"n"'us !h'#" ma&" u arts that &iff"r fr'm "a)h 'th"r 'r &' n't r"s"m*#" "a)h 'th"r(
a !h'#" )'m's"& 'f "#"m"ntary at'ms is s' h'm'$"n"'us+ sin)" at'ms ar" r"s"m*#" "a)h 'th"r( A !h'#" )'m's"& 'f "7ua# am'unts 'f "#"m"nta# at'ms ass"m*#"& in th" sam" mann"r is th"r"f'r" h'm'$"n"'us *")aus" 'f th" sums "7ua# 'f at'ms ass"m*#"& in th" sam" mann"r r"s"m*#"( 3Fi$(84 A !h'#" )'m's"& 'f "7ua# am'unts 'f at'ms ass"m*#"& in &iff"r"nt mann"rs is s' &i%"rs" *")aus" 'f "7ua# sums 'f at'ms ass"m*#"& in &iff"r"nt !ays th"y &' n't r"s"m*#" "a)h 'th"r( 3Fi$( 94 A !h'#" )'m's"& 'f un"7ua# am'unts 'f at'ms is s' &iff"r"nt *")aus" 'f un"7ua# am'unts 'f at'ms th"y &' n't r"s"m*#" "a)h 'th"r(
> 0 If th" )'m*inati'n 'f th" arts 'f th" mat"ria# is su)h that it &'"s n't r"su#t that an a$$r"$at" 'f at'ms+ )a##"& this a$$r"$at" in'r$ani) *'&y+ 'r *'&y sim#y( If th" )'m*inati'n 'f th" arts 'f th" mat"ria# is su)h that may *" th" )aus" 'f "ff")ts is in th" natur" 'f th"s" )'m*inati'ns+ it )a##s "%"rythin$ that th"y f'rm an 'r$ani) *'&y( If th" )'m*inati'n 'f th" arts 'f th" mat"ria# is su)h that th"s" )'m*inati'ns th"y )an r'&u)" 'th"r *y th"ms"#%"s "ss"ntia##y simi#ar+ th" *'&i"s In'r$ani) ta." th" nam" 'f th" !'r#&( /? 0 Th" arti"s 'f th" matt"r )'nsi&"r"& as "-istin$ 'n" '=)#'). 'ut th" 'th"r Th"y $i%" an i&"a 'f th" #a)"( P#a)"s ar" ima$inary 'ints *"t!""n !hi)h 'r is #i."#y matt"r( Th" am'unt 'f th"s" ima$inary 'ints It &"t"rmin"s th" i&"a 'f sa)"( If th" matt"r )han$"s 'f #a)" an& '))ui"s su))"ssi%"#y &iff"r"nt 'ints+ this )han$" 'r a)ti'n 'f matt"r is !hat is )a##"& m'%"m"nt(
// 0 Th" first m'%"m"nt is an imm"&iat" "ff")t 'f th" a)ti'n 'f G'& 'n matt"r( Th" first m'%"m"nt sin)" th" matt"r is th" s'#" )aus" 'f a## his m'%"m"nts( Th"r" is n' r"as'n ta."n in th" natur" 'f thin$s+ 'r ta."n in th" natur" 'f matt"r s' that this m'%"m"nt )"as"s 'r &")r"as"( It "-ists in th" uni%"rs" a )"rtain sum+ unif'rm an& )'nstant m'%"m"nt( S' that th" &"%"#'m"nt 'f 'r a## )'m*inati'ns 'f a## f'rms is r"s"r%"&+ it is n")"ssary that th" m'%"m"nt )an *" &istri*ut"& am'n$ a## th" arts 'f matt"r( A## arts 'f matt"r ar" s' )'nti$u'us *"t!""n th"m+ sin)" !" &' n't )'n)"i%" h'! th" m'%"m"nt )'ntinu" 'n fr'm 'n" 'int t' an'th"r in matt"r if th" )'nti$uity 'f its arts is int"rrut"&( N't th"r"f'r" th" a*s'#ut"#y "mty sa)" uni%"rs"+ 'r this is th" sam" !ith'ut #ay 'n "mty 'r fu## a*s'#ut"+ "%"rythin$ is thus fi##"& !ith a uni%"rs" fu## 'f )'nti$uity( /2 0 Th" uni%"rs" m'%"m"nt is $"n"ra##y an& )'nsist"nt#y "nt"rtain"& *y th" arts 'f matt"r+ th" thinn"r( Th"s" arts 'f matt"r+ th" thinn"r+ "r"tua##y in m'ti'n *"t!""n th"m ar" "min"nt#y f#ui&( @" !i## )a## th"m a## sim#y1 Th" F#ui&( /5 0 D' n't y'u ha%" "ss"ntia##y in matt"r that t!' ty"s 'f &ir")ti'ns 'f m'%"m"nt1 *y 'n" th" arts 'f matt"r ar'a)h thr'u$h th" 'th"r is a!ay( A## 'th"r &ir")ti'ns 'f m'ti'n in matt"r is ma." u 'f th"s" first t!'( /6 0 If f'r th" "ff")t 'f th" &ir")ti'ns 'f m'%"m"nt+ t!' at'ms that ar" ar'a)h is ut at r"st !ith r"s")t t' 'n" 'f th" 'th"r+ it has )'h"si'n *"t!""n th"m( If f'r th" "ff")t 'f th" &ir")ti'ns 'f m'%"m"nt+ t!' at'ms that ar" t'u)h+ sha## $' f'rth fr'm "a)h 'th"r+ it has &iss'#uti'n *"t!""n th"m( If *y th" "ff")t 'f th" &ir")ti'ns 'f m'%"m"nt+ t!' at'ms m'%" '*"yin$ su)h a)ti'n t' th" "-t"nt that th" first ush"s th" s")'n&+ th" s")'n& runs a!ay fr'm th" first+ it has f#ui&ity *"t!""n th"m( It has a "rf")t f#ui&ity if th" &""n&in$ f#""s th" first !ith a #'t 'f m'%"m"nt 'r rai& f'r)"( it has an im"rf")t f#ui&ity if th" s")'n& "s)a"s th" first !ith a sma## am'unt 'f m'%"m"nt 'r f'r)" that ush"s it( @h"n th" f#ui&ity &")r"as"s+ th" str"n$th *"$ins+ sin)" it is sai& that a mass 'f matt"r is s'#i& !h"n a## its arts ar" at r"st *"t!""n th"m 'r th" f#ui&ity &")r"as"s in a *'&y f#ui& !hi)h f'r this has an un"7ua# m'ti'n &istri*uti'n *"t!""n th" at'ms that )'m's" it an& !hi)h is n't a!ay m'r" f'r th" sam" r"as'n+ ar'a)hin$ an& strainin$ t' $"t at r"st *"t!""n th"m( @h"n th" f#'! "n&s+ it has s'#i&ity sin)" th" f#ui&ity &'"s n't )"as" in a *'&y f#ui& that in th" m'm"nt in !hi)h th" at'ms that ma." it n' #'n$"r m'%" !ith r"s")t t' "a)h 'th"r an& *rin$ int' sti##n"ss *"t!""n th"m( @h'#" *'&y f#ui&+ in !hi)h th" arti"s *"$in t' *" at r"st *"t!""n th"m+ th"n it *")'m"s s'#i&( A## th" s'#i& *'&y+ in !h"r" th" arts *"$in t' m'%" *"t!""n th"m in su)h a mann"r that th" 'n" f#""s th" "-t"nt 'f th" ar'a)h th" 'th"r+ th"r"f'r" *")'m"s f#ui&(
/8 0 Th" mat"ria#+ ri'r t' any m'%"m"nt 'f imr"ssi'n+ !as a s'#i& "rf")t+ *")aus" its arts !"r" in a*s'#ut" sti##n"ss "a)h )'mar"& t' th" 'th"r( Th" matt"r+ in th" tim" 'f first imr"ssi'n m'%"m"nt+ has *")'m" a "rf")t f#ui&1 sin)" "a)h 'f its arts !as in&iff"r"nt t' th" m'%"m"nt an& sti##n"ss+ a## th"y ha& t' '*"y th" m'%"m"nt in th" sam" !ay+ !hi#" 'n" '=)#'). f#"&+ th" 'th"r ar'a)h"&( /9 0 In th" !h'#" m'%"m"nt 'f th" f#ui& matt"r !" )'nsi&"r thr"" thin$s1 &ir")ti'n+ s""& an& t'n"( It=s )a##"& t'n"+ $"nr" an& th" !ay th" m'%"m"nt ha%" &"t"rmin"& that arts 'f th" f#ui& matt"r *"t!""n th"m( Th" air that ass"s thr'u$h an 'r$an i"+ thr'u$h th" *'&y 'f a f#ut"+ th" !at"r that ass"s thr'u$h th" fi*"rs 'f a #ant t' n'urish+ *uy *"t!""n a## th"ir )ir)umstan)"s 'n" !ay 'r a m'ti'n t'n" that th"y &' n't ha&+ 'r th" arti"s that ma." u th" air an& !at"r m'%" 'th"r!is" )'mar"& t' th"ir r"%i'us m'%"m"nt+ *y r"as'n 'f th" *'&i"s 'r m"ans that th" )han$"( /: 0 It is sai& that th" mat"ria# is sus)"ti*#" t' a## s")i"s 'f )'m*inati'ns( Th" )'nstitu"nt arts 'f th" f#ui& matt"r )an th"r"f'r" *" )'m*in"& in a## 'ssi*#" !ays an& r")"i%" a## .in&s an& a## th" !ays 'f 'ssi*#" m'%"m"nt *"t!""n th"m( If a 7uantity 'f f#ui& m'%"s in th" sam" &ir")ti'n+ it is )a##"& )urr"nt( If a 'rti'n 'f a f#ui& *rin$s in th" f'rm 'f #in" m'%"m"nt+ is )a##"& )hain( /< 0 @h"n th" "#"m"ntary matt"r *")'m"s f#ui& *uys+ as !i## sh'rt#y+ *y th" "ff")t 'f th" &iff"r"nt &ir")ti'ns 'f m'%"m"nt+ s'm" )'h"si'n in )'ns"7u"n)" 'f th" !ay in !hi)h its arts+ ar" )'m*in"& in mass 'r 7uantity 'f matt"r at r"st( Am'n$ th"s" mass"s ha%" th" int"r%a#s that r"main "rm"a*#" t' f#ui& matt"r+ th"y !i## )a## th"s" int"r%a#s1 int"rsti)"s( Th" s""& 'f a )urr"nt in)r"as"s *y r"as'n 'f narr'!n"ss 'f th" $as( Th" str"n$th 'f a )urr"nt is $i%"n *y th" s""& an& fr'm th" &ir")ti'n 'f th" &i"s fr'm !hi)h it is f'rm"&+ 'r that m'r" )hains ran$in$ in th" sam" &ir")ti'n an& th" )urr"nt has th" str"n$th( E%"ry *'&y imm"rs"& in a f#ui& '*"ys th" m'%"m"nt 'f this f#ui&( If a *'&y is #')at"& in a )urr"nt+ it is th"r"f'r" &ra$$"& in th" &ir")ti'n 'f this )urr"nt( If a *'&y is #')at"& in a f#ui& '*"ys %ari'us )'nfus"& &ir")ti'ns+ th"r"f'r"+ it has a r"st#"ss m'%"m"nt an& )'nfus"&( Su's" /> 0 3Fi$( :4+ th" t!' t'!"rs A an& B+ th" *'at C+ an& th" )urr"nt D( If th" *'at C m'%"s t' th" t'!"r B+ if y'u &' n't "r)"i%" th" )urr"nt D th" &ra$ an& if y'u &' n't s"" n'thin$ *ut th" t'!"r B t'!ar&s th" !hi)h th" *'at C m'%"s+ it !i## say that B attra)ts C an& !i## *" )a##"& This attra)ti'n h"n'm"n'n( If th" *'at C m'%"s a!ay fr'm A t'!"r @" &' n't n'ti)" th" D )urr"nt that &ra$s+ it !i## say that C is ush"& 'r r";")t"& *y A+ an& !i## *" )a##"& this h"n'm"n'n Imu#s" 'r R"u#si'n(
If y'u f""# th" D )urr"nt that &ra$s C fr'm A t' B usin$ th" )urr"nt D+ !" !i## )a## this h"n'm"n'n transmissi'n( E%"rythin$ is &'n" *y transmissi'n in Natur"( Attra)ti'ns 'r imu#s"s an& r"u#si'ns that ar" '*s"r%"&+ !hi)h ar" n't aar"nt( Th" )aus" th" attra)ti'n aar"nt+ 'r imu#s" an& r"u#si'n is as )urr"nt fa##in$ an& "-itin$ th" Uni%"rsa# F#ui&( Th"r" )an *" n' )urr"nt fa##in$ !ith'ut an 'ut$'in$ )urr"nt+ *")aus" "%"rythin$ is fu## in th" uni%"rs"(
2? 0 It=s n't 'n th" "ntir" mass 'f th" mat"ria# at th" sam" tim" that it is ma&" th" first imr"ssi'n 'f th" m'%"m"nt, sin)" su)h an imr"ssi'n n't )an '"rat" that th" &is#a)"m"nt 'f th" mass 'f matt"r an& its arts Th"y r"tain th" sam" r"#ati'nshis *"t!""n th"m( It !i## n't *" th" &"%"#'m"nt 'f any f'rm( I"+ th" mass 'f matt"r AB+ th" "#"m"ntary at'ms /a+ 2a+ 5(a+ 6(a+ 8(a+ 9(a+ :(a+ <(a+ ar" #a)"& 'n th" sam" #in" a&;a)"nt 'n" 'n th" 'th"r 3Fi$( <4(
If !" su's" th"m a## '*"&i"nt at a $i%"n tim" at th" sam" m'%"m"nt+ it is "%i&"nt that th" r"su#t 'f th" mass &is#a)"m"nt AB( B")aus" 'f f'rms "-ist+ it is th"r"f'r" n")"ssary that th" first imr"ssi'n 'f m'%"m"nt+ it is n't ma&" that 'n a 'rti'n 'f th" matt"r( Su's" th" mass 'f AB fi"#& 3Fi$( >4+ if 'n" )'nsi&"rs that th" "#"m"ntary at'ms /a+ 2a '*"y th" sam" m'%"m"nt !hi#" 5(a at'ms+ 6(a+ 8(a+ 9(a ar" at r"st+ y'u !i## ha%" a )han$" 'f r"#ati'nshi *"t!""n th" arti"s 'f th" AB mass+ *"t!""n th" arti"s that m'%" an& th's" !h' &' n't Th"y m'%" a$ain+ an& y'u !i## $rant th" 'ssi*i#iti"s 'f )'m*inati'ns an& &"%"#'m"nt 'f f'rms(
2/ 0 An at'm m'%in$ a#!ays t"n&s t' &"s)ri*" a strai$ht #in"+ h'!"%"r+ it m'%"s a!ay fr'm th" strai$ht #in" t' &"s)ri*" a )ur%" #in" as "%"ry m'm"nt is f'r)"& *y '*sta)#"s t' a*an&'n th" strai$ht #in"( Sin)" a )ur%"& #in" is its"#f an ass"m*#y 'f strai$ht #in"s+ th"r" is n' r"as'n !hy a *'&y 'r an at'm &'"s n't )'ntinu" this initia# #in"ar tra;")t'ry !"r" it n't that it is f'r)"& thr'u$h an '*sta)#" it r"%"nts h"r fr'm )'ntinuin$ 'n th" first( 3Fi$( /?4
m'%" t' B(+ !h' )an n't m'%" t'!ar&s B( A(+ A( !h' )an n't B( B( m'%" if n't r"#a)"s A( A( But in shiftin$ B( an& B( in A( m'%" &"s)ri*" th" )ur%"& #in" ""( @hat has *""n sai& 'f t!' AB at'ms must *" sai& 'f th" f'ur at'ms AB CD 3Fi$( /24 It=s )#"ar that th" AB at'ms )an n't m'%" if n't m'%in$ th" CD at'ms+ *ut th" at'ms C an& D !i## *" m'%"& t' th" #a)" that !i## 'ff"r th"m th" #"ast r"sistan)"( Th" #a)" that !i## 'ff"r th"m th" #"ast r"sistan)" is th" #a)" )#'s"st t' th"m+ 'th"r!is" th" )'nti$uity 'f th" at'ms !i## t"n& t' *" int"rrut"&( This #a)" is as )#'s" t' th" at'm C( th" #a)" !hi)h fr""s th" at'm an& A( f'r th" at'm D( th" #a)" !hi)h fr""s th" at'm B( S' t' th" "-t"nt that th" at'm A( C( m'%"s th" at'm+ th" at'm C( r"#a)in$ th" at'm A(+ an& t' th" "-t"nt that th" at'm m'%"s th" at'm B( D(+ th" at'm D( r"#a)"s th" at'm B( But th" at'ms A( an& C(+ B( an& D+ m'%" an& r"#a)" it *y &"s)ri*in$ th" "" simi#ar )ur%"s( @hat !" ha%" sai& f'r th" f'ur at'ms ABCD+ a#s' it a#i"s t' th" "i$ht at'ms ABCD (((( ABCD 3Fi$( /54 It=s )#"ar that th" at'm A( )an n't m'%" if n't m'%in$ an& m'%in$ th" at'm C(C( Th" at'm !i## th"n *" m'%"& t' th" #a)" that 'ff"rs th" #"ast r"sistan)"+ that is+ t' th" #a)"+ 'th"r!is" fu## 'f t"nts at'ms t' *" int"rrut"&( Th" #a)" t' !hi)h fu## 'f at'ms t"n&s t' *" *r'."n is th" #a)" !hi)h fr""s th" at'm A(A( @h"n t"n&s t' m'%" C(+ C( must th"r"f'r" stri%" t' fi## A( But C( sh'u#& n't imm"&iat"#y r"#a)" A( *")aus" in th" )#im* t'!ar&s A( is an '*sta)#" t' th" D( at'm t' !hi)h it is )'nti$u'us( t' $' u A( it m'%"s t'!ar&s th" at'm D( in fr'nt 'f him( D( Th" at'm thus !i## m'%" as th" at'm C t' th" #a)" that !i## 'ff"r #"ss r"sistan)"+ that is sti## t' th" #a)" that fr""s th" at'm A( But it !i## n't $' imm"&iat"#y t' this #a)" *")aus" h" is 'n his ath th" at'm B( It !i## thus m'%" th" at'm an& th" at'm B( B( !i## *" fa)"& !ith if th"
#a)" fr"" A(+ !i## '))uy this #a)" an& #"a%" its at'm D( that #"a%" its at'm C( h" !i## #"a%" his at'm A( an& C( A( S' !i## m'%" t'!ar& C( C( If y'u !i## n't *" m'%"& t' D( an& D( &' n't m'%" t' B( If B &'"s n't m'%" t' A( But th" ABCD at'ms m'%in$ an& r"#a)" "a)h 'th"r a#'n$ "##iti) )ur%"s """"( @hat it is sai& f'r t!'+ f'r f'ur+ f'r "i$ht at'ms+ y'u )an say f'r t"n+ t!"#%"+ an& s' 'n a& infinitum( 3Fi$( /64
By n""& f'r fu##+ an& !hy th" at'ms ar" a#!ays m'%in$ t'!ar&s th" #a)" that 'ff"rs th"m th" #"ast r"sistan)"+ th" first imu#s" $i%"n t' matt"r+ an& th"n &"t"rmin"s t' &"s)ri*" t!' "##iti) )ur%"s+ it $i%"s a &'u*#" uni%"rsa# "##iti)a# m'ti'n( 26 0 Su's"+ in th" s")'n& #a)"+ th" m'%"m"nt imr"ss"& in fu## t' t!' at'ms AB 3Fi$( /84 Su*s"7u"nt#y t' this+ is "sta*#ish"& th" fa)t that if it m'%"s t'!ar&s A(B(+ B t"n&s t' r"#a)" A( Th" at'ms ar" im"n"tra*#"+ an& this m"ans that A( s#i&"s 'r m'%"s si&"!ays 'n t' r"#a)" B( B( as )aus"s B( s#i&"s 'r m'%"s A( si&"!ays 'n t' r"#a)" A( This is sai& 'f t!' at'ms may say 'f a## at'ms that )'m's" matt"r( Su's" th" mass 'f at'ms AB 3Fi$( /64 It is t' say that a *'&y that m'%"s+ a#!ays t"n&s t' &"s)ri*" a strai$ht #in"( Th"r"f'r"+ *y th" n""& f'r fu##+ a## th" at'ms that ma." u AB mass ar" &"t"rmin"& t' &"s)ri*" an "##iti)a# r'ut"+ h'!"%"r+ "a)h in arti)u#ar t"n&s t' &"s)ri*" a strai$ht #in"( A## th"s"
arti)u#ar tr"n&s )an *" "-r"ss"& thr'u$h th" #in"s """""( Or+ "a)h 'f its #in"s that "-r"ss th" arti)u#ar &ir")ti'n 'f m'%"m"nt 'f "a)h at'm+ #at"ra##y aff")t th" at'm that f'##'!s( But th" *'&i"s #at"ra##y r")"i%" a m'%"m"nt 'f r'tati'n a*'ut th"ms"#%"s 'r th"ir a-"s( Th"r"f'r"+ f'r th" s'#" n")"ssity 'f th" fu##+ in th" first u#s" 'f m'%"m"nt+ r"su#tin$ in th" mat"ria# a arti)u#ar m'%"m"nt 'f r'tati'n f'r "a)h at'm( 28 0 B" sti##+ in th" thir& #a)"+ th" mass 'f at'm AB 3Fi$( /64 It is s""n that "%"ry at'm in this mass has its '!n arti)u#ar tr"n& "-r"ss"& *y """"" #in"s( N'!+ a## th"s" tr"n&s+ &iff"r"nt fr'm th"ms"#%"s+ ar" m'r" 'r #"ss &iff"r"nt+ m'r" 'r #"ss ''sit"( But th" at'ms that m'%" !ith th" arti)u#ar &ir")ti'ns 'f m'%"m"nt+ !ith th" m'r" 'r #"ss &iff"r"nt &ir")ti'ns+ m'r" 'r #"ss ''sit"+ must r'&u)" *"t!""n th"m in fu##+ a## 'f th" 'ssi*#" m'%"m"nt )'m*inati'ns( Th"r"f'r" *y th" "##iti)a# m'%"m"nt an& th" r'tati'na# m'%"m"nt 'f th" matt"r a## &ir")ti'ns an& !"r" a## )'m*inati'ns 'f m'%"m"nt 'ssi*#" in th" matt"r( 29 0 G"n"rati'n 'f th" m'%"m"nts that ma." matt"r '*"ys ar" s' "-#ain"&+ it is "r)"i%"& as+ thr'u$h th" "ff")t 'f th"s" &iff"r"nt m'%"m"nts+ a## )'m*inati'ns ha%" *""n r'&u)"& an& &"%"#'"&( 2: 0 It is sai&+ that a )urr"nt is a mass 'f f#ui& matt"r )'mmissi'nin$ m'%in$ in th" sam" &ir")ti'n( Th"r" ar" uni%"rsa# )urr"nts an& th" arti)u#ar )urr"nts( A uni%"rsa# )urr"nt is th" 'n" that '*"ys a sam" &ir")ti'n fr'm "n& fu## 'f 'th"r matt"rs( A arti)u#ar )urr"nt is th" 'n" in th" mi&&#" 'f th" fi"#& '*"ys a sam" &ir")ti'n fr'm a $i%"n 'int t' an'th"r( is nam" is sti## str"am+ a )urr"nt
that m'%"s thr'u$h a sam" &ir")ti'n in a## th" "-t"nsi'n 'f a syst"m any+ 'f th" syst"m 'f 'ur #an&+ f'r "-am#"+ an& arti)u#ar#y )urr"nt+ a )urr"nt that in a syst"m m'%"s fr'm 'n" 'int t' an'th"r( It=s thr'u$h th" m"&ium 'f th" uni%"rsa# an& arti)u#ar )urr"nts that it &istri*ut"s an& a#i"s in a## arts 'f th" fi"#&+ th" sum 'f m'%"m"nt that it !as $i%"n in th" *"$innin$( 2< 0 It=s *y this !ay that its )urr"nts ar" )han$"&+ that is th" r"as'n 'f a## )'m*inati'ns+ an& a## 'ssi*#" m'%"m"nts &"%"#'"& an& in th" uni%"rs" &"%"#'m"nt( 2> 0 It=s in th" infinit" num*"r 'f )'m*inati'ns 'f matt"r that th" )urr"nts uni%"rsa# an& arti)u#ar ar" )'m*in"&( Sin)" 'n#y )'m*inati'ns in "rf")t )'n&iti'n "rsists 'r if it is n't a 'int 'f th" m'%"m"nt )'ntra&i)ti'n+ n' 'int is )'m*in"& f'r 'f th" m'%"m"nts that ar" in )'nf#i)t+ th"y ar" &"str'y"& an& )an n't r'&u)" #i%"#ih''& "ff")ts( P"rf")t )'m*inati'ns r'&u)" !hat !" ha%" )a##"& 'r$ani) *'&y( P"rf")t )'m*inati'ns if fina#i"& y"t 'f th" a&%anta$"+ Th"y ar" r")"i%"& #at"r t' f'rm th" !'r#&s f'r th" r'a$ati'n 'f s")i"s( @" may f'rm an i&"a 'f th" '"rati'n *y !hi)h th" natur" f'rm"& 'f 'r$ani) *'&i"s an& !'r#&s+ )'nsi&"rin$ th" h"n'm"n'n 'f )rysta##iati'n( 5? 0 E%"rythin$ is fu##+ th" sa)"s that ar" in th" *'&i"s ar" fi##"& *y )urr"nts th" uni%"rsa# f#'!( A## *'&i"s m'%in$ in sa)" s!im th"n in a )urr"nt 'f th" uni%"rsa# f#'!( 5/ 0 Ea)h at'm is &ra$$"& in a )urr"nt )hain 'f matt"r th" mat)h( 3Fi$( /94 T!' at'ms )an n't *" "a)" !ith'ut uttin$ an '*sta)#" t' th" t!' )hains 'f th" )urr"nt that )'rr"s'n&s t' it 3Fi$( /:4 If th"s" t!' s")t'rs )an n't '%"r)'m" th" '*sta)#" that ''s"s th"m+ th"y ar" )'m*in"& !ith n"i$h*'rin$ )hains an& th"ir m'%"m"nt is a))"#"rat"&( 3Fi$( /<4 It is sai& that th" )urr"nt m'%"m"nt is a))"#"rat"& a## th" tim"s that th" sa)" in !hi)h a )urr"nt f#'!s is narr'!"&+ an& th" sa)" in !hi)h a )urr"nt f#'!in$ narr'!s *")aus" 'f th" '*sta)#"s that aris" t' h"r( At th" ar'a)h 'f a s'#i& *'&y+ th" )urr"nts ar" th"r"f'r" a))"#"rat"&( A *'&y is m'r" s'#i& than an'th"r+ in th" m'm"nt in !hi)h 'ff"rs #"ss int"rsti)"s "rm"a*#" t' )urr"nt in !hi)h it is imm"rs"&+ 'r an& is th" sam" thin$+ in th" m'm"nt in !hi)h has #"ss f#ui& arts in its mass( 3Fi$( />4 M'r" a *'&y is s'#i&+ th" m'r" it has th" r"sistan)" t' th" )urr"nt that is ''s"& t' it( Th" a))"#"rati'n 'f a )urr"nt is th"r"f'r" in th" s'un&n"ss 'f th" r"as'n 'r )'mati*i#ity 'f th" mass that r"sists( A )urr"nt f#'!in$ thr'u$h a mass 'f mat"ria# 'r a *'&y that r'%i&"s int"rsti)"s t' $'+ is am"n&"& in s"arat" s")t'rs( 3Fi$( 2?4 If th" su#y )hains 'f t!' mutua##y ''sin$ *'&i"s )r"" am'n$ int"rsti)"s 'f "a)h 'th"r !ith'ut that th"ir m'%"m"nt is &istur*"&+ it !i## *" fr'm this th" aar"nt "ff")t 'f th" attra)ti'n( 3Fi$( 2/4
If 'n th" )'ntrary th"ir su#y )hains )'##i&" 'r if s'm" r"&'minat" '%"r th" 'th"r+ th" 'ut)'m" 'f this )'nfr'ntati'n !i## *" th" imu#s" 'r th" r"u#si'n( 3Fi$( 224 It is sai& that "%"rythin$ is fu##+ an& that !h"n a )urr"nt f#'!s in a *'&y th" 'th"r 'ut 'f th" in'r$ani) *'&y( But !h"n th" &i"s 'f a )urr"nt "nt"rin$ a *'&y+ th" sa)" in !hi)h th"y m'%" shrin.s+ s' th"y )han$" #')ati'n an& th"ir m'%"m"nts ar" a))"#"rat"&( @h"n th"y )'m" 'ut+ 'n th" )'ntrary+ th" sa)" in !hi)h th"y m'%" is "-t"n&s+ an& th"y &"%iat" fr'm th" matt"r an& th"ir m'%"m"nts ar" s#'!"& &'!n( 3Fi$( 254
52 0 Th" natur" 'f th" uni%"rsa# )urr"nts an& &"tai#s s' &"t"rmin"&+ it "-#ains th" 'ri$in+ trainin$ an& th" mutua# inf#u"n)" 'f th" h"a%"n#y *'&i"s( At th" m'm"nt !h"n+ thr'u$h th" n")"ssary "ff")t 'f th" #a!s 'f m'%"m"nt+ many at'ms ar" ;'in"& an& th"y &i& "-ist a m'#")u#" #ar$"r+ su)h as "#"m"ntary arts 'f matt"r+ th"s" m'#")u#"s+ as !" sha## s""+ !"r" th" '*sta)#" t' th" )urr"nt that has r"a)t"&( 3Fi$( 264 Th" )urr"nt )an n't &i%"rt th" '*sta)#" that ha& *""n th" ''sit"+ has it ha& *")'m" th" )"nt"r 'f a m'#")u#" a$ainst !hi)h it has "-"r)is"& its a)ti'n( 3Fi$( 284 F'r th" "ff")t 'f this a)ti'n+ it has )'ntinu'us#y &ra$$"& t'!ar&s this )"nt"r a## th" f#'atin$ matt"r that "-ist"& in its )'urs"( 3Fi$( 294 This )"nt"r 'r th" )"ntra# *'&y has in)r"as"& *y a## th"s" f#'atin$ mat"ria#s( O%"r th" )"ntra# *'&y s=a))r"s)" an& th" #'!"r th" )urr"nt *")'m" r"#ati%"#y hi$h+ as th" )"ntra# *'&y )an n't $r'!+ !ith'ut &"t"rminin$ t'!ar& it a #ar$"r 7uantity 'f f#ui&( 3Fi$( 2:4 As th" )"ntra# *'&y in)r"as"s an& th" )urr"nt *")'m"s fast *")aus" is t' say that th" s""& 'f th" )urr"nt in)r"as"s at th" rat" 'f '*sta)#"s that r"s"nt th"ms"#%"s( Th" )urr"nt )an n't *")'m" m'r" su*stantia# an& fast"r !ith'ut sti## &ra$ a #ar$"r am'unt 'f matt"r t'!ar& th" *'&y )"ntra#( 3Fi$( 2<4 Th" )"ntra# *'&y a))r"tin$ th"r"f'r" $a%" m'r" "-t"nsi'n an& rai&ity th" )urr"nt thr'u$h !hi)h r"s'n&s+ th" )urr"nt *")'m"s m'r" rai& an& m'r" "-t"nsi%" an& th"r"f'r" in)r"as"s th" mass 'f th" )"ntra# *'&y a$ainst !hi)h it a)ts an& this &'u*#" an& r")ir')a# "ff")t has *""n "-t"n&"& u t' th" &istan)"
!h"r" h" f'un& )'unt"r*a#an)"& *y th" simi#ar a)ti'n 'f an'th"r *'&y an& an'th"r )urr"nt( 3Fi$( 2>4 Thus th"y !"r" f'rm"& th" h"a%"n#y *'&i"s( 55 0 Th" h"a%"n#y *'&i"s ar" n")"ssari#y sh"ri)a# *")aus" th" a)ti'n 'f )urr"nts that f'rm th"m ra)ti)in$ *y th"ir "rih"ry 'r th"ir )ir)umf"r"n)" at th"ir )"nt"r( 3Fi$( 5?4 56 0 Th" mass 'f )"#"stia# *'&i"s is n't th" sam"+ *")aus" th's" first m'#")u#"s !ith !hi)h th"y ar" )'m'un&s !"r" m'r" 'r #"ss #ar$" an& !"r" )'m*in"& &iff"r"nt#y+ an& th" )urr"nts that a)t"& a$ainst m'#")u#"s &i& n't ha%" th" sam" s""& an& "%"n th" sam" "-t"nsi'n( 58 0 Th" &iff"r"n)" in mass 'f )"#"stia# *'&i"s r"s'n& t' th" "-t"nsi'n 'f th"sa)" !hi)h is #')at"& *"t!""n th"m+ an& a )"#"stia# *'&y is n't #ar$"r than an'th"r that *")aus" 'f th's" )urr"nts that th"y ha%" f'rm"&+ an& !hi)h ha%" )'##")t"& ar'un& its mat"ria# f#'at )"nt"r( Th" su"rnatant *"f'r" th" f'rmati'n 'f th" *'&i"s '))ui"& a sa)"+ an& th"s" sa)"s !"r" *y r"as'n 'f its 7uantity+ m'r" mat"ria# is us"& t' f'rm a *'&y+ m'r" sa)" ar'un& this *'&y !as t' *" )'nsi&"ra*#"( An& th"r"f'r" tru" t' say that th" sa)"s *"t!""n th" h"a%"n#y *'&i"s ar" r"as'n 'f th" mass"s 'f th"s" *'&i"s( 3Fi$( 524
59 0 C"#"stia# *'&i"s r'tat" 'n th"ir a-"s *")aus" matt"r a)7uir"s a m'%"m"nt 'f r'tati'n fr'm th" rin)i#"+ an& that fr'm that r'tati'n is it is n't im'ssi*#" f'r "a)h )"nt"r+ fr'm !hi)h a## h"a%"n#y *'&i"s Th"y ar" )'m's"&+ a m'%"m"nt 'n its"#f an& 'n its a-is( A( If th" m'#")u#" 3Fi$( 554 r'tat"s 'n its a-is+ a## th" m'#")u#"s must 3th's" !h' ;'in"& #at"r4 '*"y th" sam" m'%"m"nt+ th"y must th"n r'tat" 'n th" a-is 'f th" m'#")u#" A( "-t"nt t' !hi)h ar" ;'in"& t' it(
5: 0 Th" h"a%"n#y *'&i"s ar" in r"#ati'n t' )urr"nt )"nt"rs that ha%" th"m f'rmats+ *ut th"y may '*"y t' an'th"r )"nt"r an& *" &ra$$"& *y th" m'%"m"nt that &"t"rmin"s an'th"r )"nt"r( S' th" m''n is &ra$$"& thr'u$h m'%"m"nt 'f th" "arth+ s' th" #an"ts ma." th"ir r"%'#uti'n ar'un& th" sun( 3Fi$( 564 It is )a##"& %'rt"-+ a mass 'f f#ui& matt"r that starts t' r'tat" ar'un& a )"nt"r( It=s )a##"& "))"ntri)+ a *'&y that is &ra$$"& thr'u$h th" %'rt"- 'f an'th"r *'&y that &'"s n't ha%" th" sam" )"nt"r !ith it( An "))"ntri) *'&y ar'a)h"s th" )"nt"r 'f this %'rt"- *y f'r)" th" )urr"nts that rush t'!ar& this )"nt"r( An "))"ntri) *'&y m'%"s a!ay fr'm his %'rt"- t' th" "ff")t 'f its m'%"m"nt 'r 'f his str"n$th )"ntrifu$"+ )'nsistin$ 'f th" "ff")t 'f m'%"m"nt that #"a&s him t' "s)a" thr'u$h a## th" tan$"nt #in" 'f th" )ur%" that &"s)ri*"s( An "))"ntri) *'&y '))ui"s its #a)" in a %'rt"- at th" 'int !h"r" th" str"n$th 'f th" )urr"nts that rush t'!ar&s th" )"nt"r 'f th" %'rt"- ar" "7ua# t' th" )"ntrifu$a# f'r)" that ush"s him a!ay(
5< 0 Th" h"a%"n#y *'&i"s ha%" a mutua# t"n&"n)y t'!ar&s "a)h 'th"r( Su's" th" *'&y A( 3Fi$( 584 s"n&in$ th" f#ui& matt"r ffff an& C)))( Sin)" "%"rythin$ in th" uni%"rs" is fu##+ th"r" is n' in!ar& )urr"nt an 'ut$'in$ )urr"nt+ a))'r&in$#y t' th" "-t"nt that th" ffff rays "nt"r int' th" int"rsti)"s 'f th" *'&y A(+ th" """" rays ha%" t' $' 'ut( This im#i"s that th" t!' *'&i"s A an& B+ ha%in$ t' $' t' th" #a)" that 'ff"rs th"m th" #"ast 'f r"sistan)"+ th"n $' int' th" n"ar"st #a)"s t!'+ 'th"r!is" fu## 'f at'ms t"n& t' *" int"rrut"&( 3Fi$( 594 Th"r"f'r"+ th" )urr"nts that ar" #aun)h"& fr'm th" *'&y sh'u#& $' t' th" A(B( *'&y t' r"#a)" th" )urr"nts that )'m" 'ut+ an& th" )urr"nts that #aun)h fr'm th" *'&y B( sh'u#& $' t'!ar&s th" *'&y t' r"#a)" th" A( )urr"nts that )'m" 'ut+ *")aus" &u" t' th" n""& 'f th" r")"ss"& )urr"nts an& 'ut$'in$+ th" *'&y B is th" n"ar"st #a)" 'f A(+ 'r fu## 'f at'ms !'u#& t"n& t' *" int"rrut"&+ an& "a)h 'th"r( @hat is sai& 'f t!' *'&i"s A( an& B( must *" sai& 'f t!'+ thr""+ f'ur *'&i"s+ in 'th"r !'r&s+ 'f a## *'&i"s m'%in$ in sa)"( Out$'in$ )urr"nts fr'm 'n" y'u hurt#" t'!ar&s "a)h 'th"r an& "a)h 'th"r+ *ut a## "-istin$ *'&i"s in a f#ui& '*"y th" m'%"m"nt 'f this f#ui&( Th"r"f'r"+ it is s' that th" f#ui& fr'm th" *'&y #aun)h"s A( m'%"s t'!ar& th"
*'&y B( an& mutua##y *'&i"s A( an& B( must t"n& t'!ar& "a)h 'th"r( S' it is a mutua# t"n&"n)y am'n$ a## )"#"stia# *'&i"s(
5> 0 Th" tr"n& 'f th" h"a%"n#y *'&i"s is *")aus" 'f th"ir mass+ !hi)h m"ans that if A( th" *'&y has m'r" mass 'r s'#i&ity 'f th" *'&y B(+ !i## attra)t m'r" 'f th" *'&y B(+ that is n't attra)t"&+ sin)" it is th" rai&ity 'f th" )urr"nts in !hi)h th" *'&i"s ar" imm"rs"& !hi)h in)r"as"s *")aus" 'f th" mass 'r th" s'#i&ity 'f *'&i"s( 3Fi$( 5:4 6? 0 Th" tr"n& 'f th" h"a%"n#y *'&i"s is *")aus" 'f th"ir &istan)"+ nam"#y that m'r" *'&i"s A( an& B( 3Fi$( 5<4 ar" &istant fr'm "a)h 'th"r an& th" #"ss y'u attra)t( B")aus"+ th" m'r" a *'&y is far a!ay fr'm an'th"r *'&y+ an& #"ss )urr"nt that aris" fr'm th" first t' "nt"r th" s")'n& #a)"( But #"ss )urr"nts '))ur an& #"ss ar" 7ui).+ th"y ar" #"ss 7ui). an& #"ss $r"at is th" s""& !ith !hi)h th" &ra$ *'&i"s !hi)h in th"ir '*"y( Th"r"f'r"+ m'r" *'&i"s ar" far #"ss y'u attra)t(
Th"r"f'r"+ th" t"n&"n)y 'f )"#"stia# *'&i"s it is *")aus" 'f th"ir &istan)"(
6/ 0 Th" tr"n& 'f th" h"a%"n#y *'&i"s is "-"rt"& 'n a## arti"s t' th"m f'rm+ that is t' say that th" arts 'f a *'&y "a)h t"n& t'!ar&s th" arts 'f an'th"r *'&y an& "a)h 'th"r+ *")aus" in th" fi"#& if an at'm 'f B'&y A( t"n&s t'!ar& B(+ this at'm t"n&s t' *" r"#a)"& at'm that f'##'!s+ an& s' 'n su))"ssi%"#y( 3Fi$( 5>4 62 0 Th" tr"n& 'f th" h"a%"n#y *'&i"s is m'r" &ir")t *"t!""n th" arti"s 'f th"ir surfa)"s that y'u #''. that *"t!""n th" arts 'f th"ir surfa)"s !hi)h ar" ''sit"( A( B")aus" in th" *'&y+ th" )urr"nts that aris" fr'm th" surfa)" DDD ar" &ir")t"& t'!ar& th" *'&y B(+ that th" )urr"nts that aris" fr'm DED ar"a 3Fi$( 6?4
65 0 Th" )"#"stia# *'&i"s in r'tati'n 'n th"ir a-is a#!ays ''s"& ha#f 'f th"ir surfa)"s( E ='f th"s" ha#%"s that ar" r")"i%"& th"ir mutua# imr"ssi'ns( Th"s" ar" th"ir imr"ssi'ns 'f "a)h !hi)h )'nstitut" th" "**s an& f#'!s in "%"ry sh"r"( Th"s" ar" th"ir imr"ssi'ns 'f "a)h 'th"r that f'r th" f#'! "ff")t an& r"f#u&"t"rmin" th" inf#u"n)" 'f a sh"r" 'f an'th"r( Th"s" inf#u"n)"s that '))ur *"t!""n th" h"a%"n#y *'&i"s+ s' far+ !" s"" th"m s""& u+ s#'! an& st' th"ir m'%"m"nts at &""n&in$ 'n th" natur" 'f th" f'r)"s "-"rt"& 'n th"ir *'&i"s !ith !hi)h th"y mat)h( Th"s" inf#u"n)"s ar" "-"r)is"& as th" tr"n& !" "-#ain"& an& 'f !hi)h it is th" "ff")t+ n't 'n#y 'n th" t'ta#ity 'f )"#"stia# *'&i"s *ut a#s' 'f a## th"ir )'nstitu"nt arts( Th"s" inf#u"n)"s uni%"rsa##y "-istin$ *"t!""n a## th" *'&i"s that m'%" in sa)" an& *"t!""n a## arts 'f th"s" *'&i"s is )a##"& Ma$n"tism(
END OF TE FIRST PART
SECOND PART _________ summary In this s")'n& art s"a.s 'f th" r'"rti"s 'f *'&i"s+ th" har&n"ss+ 'r th" )'h"si'n+ "#asti)ity+ s'ftn"ss1 aft"r &"t"rminin$ th" )aus"s an& "ff")ts 'f th"s" &iff"r"nt r'"rti"s+ !" )'nsi&"r th" m'%"m"nt as an a$"nt 'n th" *'&i"s an&+ a))'r&in$ t' th" natur" 'f its a)ti'n+ it r'&u)"s th" h"n'm"na 'f $ra%ity+ fir"+ "#")tri)ity+ Ma$n"t, It !i## "n& !ith fu## "-'sur" 'f th" uni%"rsa# 'r th" "** an& f#'! syst"m $"n"ra# am'n$ a## th" *'&i"s an& t"## y'u !hy th"s" inf#u"n)"s aff")t a## *"in$s( C'h"si'n 66 0 C'h"si'n is th" stat" 'f matt"r 'r its arti)#"s f'un& t'$"th"r !ith n' m'%"m"nt *"t!""n th"m an& th"y )an n't *" s"arat"& !ith'ut 'n" "-t"rna# "ff'rt( 68 0 Th" matt"r is r"&u)"& in this stat" f'r th" "ff")t 'f &ir")ti'ns 'f ''sin$ m'%"m"nt 'r f'r th" "ff")t 'f un"7ua# s""& in th" sam" &ir")ti'n 'f m'%"m"nt( 69 0 T!' arti)#"s 'f matt"r t'u)hin$ ru#" in th"ir 'int 'f )'nta)t th" rimary mat"ria# 'f !hi)h th" "#"m"ntary f#ui&ity is )'m's"&( 3Fi$(6/4
M'r" has a *'&y 'f th" )'nta)t 'ints+ th" m'r" it has+ th"r"f'r"+ 'f th" )'#umns 'f "#"m"ntary matt"r t' *" '%"r)'m" t' '"rat" th" s"arati'n 'f its arts( 3Fi$( 65+ 664 Th" r"sistan)" 'f th" arts 'f a *'&y is thus r"as'n )'nstitut"& *y 'ints )'nta)t 'f its arts an& th" si" 'f th" f#ui& )'#umns Uni%"rsa# !hi)h ar" *as"& 'n th"s" 'ints 'f )'nta)t( But th" $r"atn"ss 'f th" )'#umns 'f th" uni%"rsa# f#ui& !hi)h ar" *as"& 'n th" 'ints 'f )'nta)t is n")"ssari#y a#!ays th" sam"(
6< 0 Th" str"n$th 'f th" arts 'f a *'&y *"$in at th" m'm"nt !h"n it has ma&" an "ff'rt t' s"arat" th"m( Th" r"sistan)" in)r"as"s !ith th" in)r"as" 'f th" "ff'rt( B")aus" "%"rythin$ is fu##+ th" surr'un&in$ f#ui& r"sists th" m'r" that y'u ma." "ff'rts t' m'%" it( Th" r"sistan)" thus r"a)h"s its &"a&#in" !h"n str"ss r"a)h"s its &"a&#in"( Th" "ff'rt r"a)h"s its #ast t"rm in th" m'm"nt in !hi)h th" s"arati'n 'f th" arti"s !as ma&"( Th" #ast t"rm 'f th" r"sistan)" 'r th" t'ta# r"sistan)" is thus n't m'r" than a tim" an& this this m'm"nt is that 'f th" s"arati'n 'f th" arti"s( This n"-t m'm"nt in !hi)h th"r" is n' m'r" )'h"si'n+
in !hi)h th" C'h"si'n is n' #'n$"r at its hi$h"st &"$r"" may *" )a##"&1 tim" 'f )'h"si'n( 6> 0 Th" )'h"si'n is th" tim" !h"n th" )'ntinuity 'f th" f#ui& is st'"& *y )'nta)t 'f th" arts 'f a *'&y+ *ut as s''n as th" arts ar" s"arat" )'ntinuity s r"st'r"s an& )'h"si'n "n&s(
E#asti)ity 8? 0 E#asti)ity is th" r'"rty that ha%" s'm" *'&i"s t' r")'%"r in th"ir initia# stat" that an "-t"rna# f'r)" )aus"& him t' #'s"( 8/ 0 Th" )'nfi$urati'n 'f th" arts 'f an "#asti) *'&y must *" su)h that *" a*#" t' *" ar'a)h"& 'r m'%"& a!ay+ 'r *" m'%"& in r"#ati'n t' th" mass 'f th" "#asti) *'&y !ith'ut suff"rin$ a shift !ithin its"#f( B")aus" if a &istan)in$ 'r ar'a)h )aus"s a shift in its"#f+ it has a &iss'#uti'n 'f th" "#asti) *'&y+ an& it )an n' #'n$"r r""sta*#ishm"nt in its 'ri$ina# stat" an& th" "#asti)ity !i## n't ta." #a)"( 82 0 Th" f'r)" that t"n&s t' #'s" an "#asti) *'&y t' its first stat"+ it t"n&s t' m'%" his i")"s 'r &"str'y th"ir )'h"si'n( It=s th"r"f'r" a f'r)" a$ainst )'h"si'n( 85 0 This f'r)" a$ainst th" C'h"si'n a#!ays stirr"& an& )'mr"ss"s th" *'&y "#asti)+ *'th !h"n it a)ts t' s"arat" th" "#asti) *'&y t' str"t)h it+ *'th !h"n it a)ts t' *r"a. it an& t' *"n& it+ *'th !h"n it a)ts t' *r"a. 'r )'mr"ss it( In th"s" thr"" )as"s it a#!ays ma."s a )'mr"ssi'n in th" *'&y "#asti)( 3Fi$( 684
86 0 B"f'r" any "-t"rna# f'r)" &'"s n't t"n& t' #'s" t' "#asti) *'&y his first stat"+ th" first stat" is #i." that 'f a## 'th"r *'&i"s+ th" r"su#t 'f th" a)ti'n 'f th" uni%"rsa# f#ui& !hi)h maintains th" )'h"si'n 'f its arts+ h"a%y 'n th"ir 'ints 'f )'nta)t an& that .""s th"m in a )"rtain 'r&"r 'r a )"rtain arran$"m"nt *"t!""n th"m an& fi##in$ th" $as that s"arat" th"m( Su's" th" m'#")u#" A( !hi)h r"r"s"nts s'm" arti)#"s 'f a *'&y any+ )'nsist"nt *"t!""n th"m+ *ut s"arat"& *y an int"rsti)"( Th" stat" 'f this m'#")u#"+ nam"#y th" arran$"m"nt 'f its arts that th" )'m'n"nt r"su#ts fr'm th" r"ssur" 'f th" uni%"rsa# f#ui& 'n th" 'ints 'f )'nta)t )))) an& *y th" a)ti'n 'f this sam" f#ui& that )r'ss"s an& It fi##s th" $a D( 3Fi$( 694
88 0 @h"n an "-t"rna# f'r)" is a#i"& t' th" "#asti) *'&y+ it ma."s an "ff'rt t' !in !hat !" )a##"& th" tim" )'h"si'n an& t' m'%" s' th" arts 'f th" "#asti) *'&y *"t!""n th"m( Th" th" sam" tim" an& in r''rti'n as this f'r)" is fu#fi##"&+ th" $a !h"r" it ass"s th" uni%"rsa# f#ui& that '"rat"s )'h"si'n shrin.s an& this f#ui& s' r"stri)t"& a)7uir"s m'r" a))"#"rati'n( B'th th" "#asti) *'&y AB 3Fi$( 6:4 It=s "asy t' s"" t' !hat "-t"nt this *'&y is )'mr"ss"& *y th" f'r)"s Ffff+ ma."s an "ff'rt t"n&in$ t' &"str'y th" )'nta)t 'ints )))) 'r t' !in th" tim" 'f th" )'h"si'n 'f th" arts that t'u)h th" 'ints C))( It=s "asy t' s"" y"t h'! far th" AB *'&y is )'mr"ss"&+ its int"rsti)"s shrin. an& thus $i%" m'r" a))"#"rati'n t' th" f#ui& that th"y r")"i%in$ an& !"i$hin$ in!ar&#y at th" )'nta)t 'ints ))))( 89 0 In th" m'm"nt !h"n th" "-t"rna# f'r)" that a)ts a$ainst th" *'&y ru**"r *an& is r"m'%"&+ th" "ff'rt a$ainst th" )'h"si'n is n' #'n$"r "n'u$h t' !in an& )'h"si'n r"sum"s its &'minan)"+ th" $as ar" r"st'r" in th"ir &iam"t"r an& th"
"#asti) *'&y r"turns t' its ri'r stat"( B'th th" AB "#asti) *'&y 3Fi$( 6<4
It=s "asy t' s"" h'! far r"m'%"& th" fff f'r)"s+ th" uni%"rsa# f#ui& a$ainst !hi)h a)t"& t' &"str'y th" )'h"si'n r")'%"rs a$ainst 'ints 'f )'nta)t+ an& in th" int"rsti)"s 'f th" "#asti) *'&y as it !as *"f'r" a#i)ati'n 'f th" fff f'r)"s 3AB Fi$( 6>4 8: 0 Th" narr'!in$ 'f th" $as in th" "#asti) *'&y is *ut an "ff")t s")'n&ary an& th" r"su#t 'f th" "ff'rts ma&" t' &"str'y th" )'h"si'n 'f arts 'f th" "#asti) *'&y( 8< 0 Th" r"sistan)" 'f th" "#asti) *'&y is a#!ays *"$un an& n"%"r finish"& *")aus" if this r"sistan)" "n&s y'u !i## ha%" th" s"arati'n 'f th" arts an& th" )"as" "#asti)ity( Th" r"sistan)" in th" "#asti) *'&y in)r"as"s !ith th" !'r. "ff'rt t' !in it( Th" r"sistan)" 'f th" "#asti) *'&y is th"r"f'r" t' its hi$h"st 'siti'n !h"n th" f'r)" that th" fi$htin$ is !'n+ it r"st'r"s th" "#asti) *'&y in its first stat"( B"f'r" this !h"n th" "#asti) *'&y r"sists an& its "#asti)ity is n't manif"st"&+ aft"r Ri$ht n'! th" "#asti) *'&y &'"s n't r"sist+ an& its "#asti)ity is manif"st1 Fr'm this m'm"nt th" "#asti) *'&y r"sists an& its "#asti)ity is manif"st"&( This m'm"nt )an th"r"f'r" *" )a##"& th" "#asti)ity m'm"nt(
8> 0 It is s""n that in 'r&"r t' !in 'r &"str'y th" )'h"si'n n")"ssary t' ma." an "ff'rt a$ainst th" )'#umns 'f th" uni%"rsa# f#ui& !hi)h r"ss th" arts 'f a )'h"si'n '"ran& *'&y( S' in th" "#asti) *'&y as y'u !ant t' &"str'y th" )'h"si'n an& th" m'r" y'u &' an "ff'rt a$ainst th" uni%"rsa# f#ui& !hi)h a)ts in th" f'rm 'f )'#umns f'r '"rat" )'h"si'n( 3Fi$( 8/+ 824 3)4 9? 0 @h"n th" "#asti)ity+ i" !h"n th" $r"at"st "ff'rt a$ainst th" )'h"si'n+ th" "ff'rt t' !in th" )'h"si'n is "7ua# t' th" a)ti'n 'f th" )'#umns 'f f#ui& that th" '"ratin$+ i"+ t' th" a)ti'n 'f th" )'#umns 'f f#ui& !hi)h r"ss th" si&"s 'f th" arti)#"s that ma." u th" "#asti) *'&y an& that th"y i). u 'r m'%" asi&" t' !in th" )'h"si'n( 3Fi$( 854 3&4 Th" "ff'rt is n't m'r" '!"rfu# a)ti'n 'f th" )'#umns+ *")aus" in that )as" )'h"si'n !'u#& *" !'n an& "#asti)ity !'u#& n' #'n$"r ta." #a)"( th" "ff'rt It is n't *"#'! a)ti'n 'f th" )'#umns sin)" !" mi$ht )'n)"i%" a $r"at"r "ff'rt a$ainst th" )'h"si'n !ith'ut it *"in$ &"str'y"& an& th" !h"n th" "#asti)ity 'r th" #ar$"st 'f th" m'm"nt "ff'rt a$ainst C'h"si'n &'"s n't arri%"( 3C4 If ar" )'mr"ss"& *y th" a#i)ati'n 'f ff f'r)"s+ th" t!' AB arti)#"s 3Fi$( 8?4 'r "-t"n& *y th" a#i)ati'n 'f Ff f'r)"s 3Fi$( 8/4+ it is !"## "%i&"nt that in "ith"r )as" is rais" th" )'#umns 'f f#ui& )) 3D4 Th" fi$ur" 82 r"r"s"nts th" #ar$"st tim" "ff'rt a$ainst )'h"si'n( Th" ff f'r)"s a)tin$ 'n th" AB m'#")u#"s+ an& &istan)" th"m Th"y ar" intr'&u)"& in th" r"m'%a# 'f m'#")u#"s fr'm th" f#ui& su#y )hain Uni%"rsa# !"i$hin$ 'n th" )'nta)t 'ints(
9/ 0 Th" "ff'rt sha&"s a$ainst th" )'h"si'n an& r"sistan)" nuan)"s *y m"ans 'f th" )aus" 'f )'h"si'n r'&u)" a## th" "ff")ts 'f th" "#asti)ity( 92 0 Th" )aus" 'f th" "#asti)ity is art#y that 'f )'h"si'n an& &'"s n't &iff"r that is !hy th" har& *'&y+ th" )'nstitu"nt arts ar" n't #i." in th" *'&y "#asti) )'nfi$ur"& t' r")'%"r+ th" r"sistan)" 'f th" "#asti) *'&y a$ainst th" f'r)" that t"n&s t' ma." th" &iss'#uti'n 'f its arts is *y r"as'n 'f 'ints 'n !hi)h this '!"r is "-"r)is"&( Ea)h 'int tryin$ th" a)ti'n 'f this f'r)" r"sists this f'r)" in "#asti) *'&y+ thus m'r" 'ints !i## r"sistant t' this f'r)" in th" *'&y "#asti) an& r"sistan)" in th" "#asti) *'&y !i## *" $r"at( Th" st""# is m'r" "#asti) than !''&+ *")aus" st""# is m'r" )'ma)t that th" !''&+ th"r" ar" m'r" 'ints 'f r"sistan)" in th" st""# !hi)h in th" !''&( 95 0 Th" s'ft *'&y is ''sit" t' th" "#asti) *'&y( Th"r" ar" &iff"r"n)"s *"t!""n th" s'ft *'&y an& "#asti) *'&y !hi)h as !" ha%" s""n in th" "#asti) *'&y th" arts that )'m's" it m'%in$ in r"#ati'nshi !ith th" mat"ria# !ith'ut m'%" *"t!""n th"m an& !ith'ut a##'!in$+ !hi#" th" arti)#"s that ma." u th" s'ft *'&y m'%in$ an& #"a%" *"t!""n th"m !ith'ut #"a%in$ th" $r'un&(
Gra%ity 96 0 It is sai& that th"r" is a mutua# t"n&"n)y am'n$ a## )'"-istin$ *'&i"s in sa)"+ this tr"n& is )a##"& $ra%ity( Th"r"f'r" a## *'&i"s $ra%itat" t'!ar&s "a)h 'th"r( It has *""n sai& that th" t"n&"n)y 'f *'&i"s is r"as'n 'f th"ir mass"s an& th"ir &istan)"s( Th"r"f'r" a## *'&i"s $ra%itat" t'!ar&s "a)h 'th"r *")aus" 'f th"ir mass"s an& th"ir &istan)"s( It is sai& that *")aus" 'f th" t"n&"n)y 'f *'&i"s is in th" )urr"nt in !hi)h th"y ar" imm"rs"&( Th"r"f'r" th" )urr"nt in !hi)h th" *'&i"s ar" imm"rs"& ar" th" )aus" 'f $ra%ity( 98 0 A $"n"ra# '!"r 'f su*t#" matt"r 'r "#"m"ntary f#ui& Uni%"rsa# h"a& t'!ar&s th" )"nt"r 'f a $#'*" in any &ra$$in$ his &ir")ti'n a## )'m*in"& matt"r it "n)'unt"rs an& that this is )'m*in"&+ an& ''s"s a r"sistan)"( 3Fi$( 854 M'r"'%"r+ th" r"sistan)" that ''s"s th" )urr"nt matt"r is )'nsi&"ra*#" an& m'r" $r"at is th" s""& !ith !hi)h this matt"r is "ntrain"& in th" &ir")ti'n 'f th" )urr"nt( Th" r")iitati'n 'f th" )'m*in"& mat"ria# is th"n ma&" *y r"as'n 'f r"sistan)" 'f "a)h 'f its arti)#"s( Th" )'ars"st 'f th"s" arti)#"s ar" th"n r")iitat"& first( Thus th"y !"r" f'rm"& a## th" mat"ria# #ay"rs that )'m's" th" &iff"r"nt $#'*"s(
99 0 It is )a##"& $ra%ity+ th" am'unt 'f th" "ff")t 'f $ra%ity( Th" f'r)" &ri%in$ a )urr"nt is a#i"& t' "a)h 'f th" m'#")u#"s that &ra$+ th" am'unt 'f th" "ff")t 'f $ra%ity 'r th" !"i$ht is *")aus" 'f s""& 'f th" )urr"nt an& th" r"sistan)" 'f th" arti)#"s+ i" th" m'st arti)#"s ar" )'ars"+ an& th" m'r" rai& )urr"nt an& th" arti)#"s ar" h"a%y( 9: 0 Th" s""& 'f )urr"nt $r'!s in m"asur" 'f th" ar'a)h t' th" $r'un&+ $i%"n that *")'m" m'r" )'n%"r$"nt+ th" s"%"rity in)r"as"s in th" sam" r''rti'n( 9< 0 In th" sam" !ay that a## h"a%y *'&i"s $ra%itat" t'!ar&s th" "arth( Earth $ra%itat"s t'!ar& h"a%y *'&i"s an& int' a## its )'m'n"nt arts( Th" )aus" 'f th" $ra%ity 'f th" "arth t'!ar&s th" h"a%y *'&i"s an& fr'm a## its )'nstitu"nt arts ar" in th" )urr"nt )'min$ 'ut 'f its int"rsti)"s 'r fr'm 'ut$'in$ )urr"nts+ as th" )aus" 'f th" $ra%ity 'f h"a%y *'&i"s t'!ar&s its )"nt"r is in th" )urr"nts f#'!in$ in its int"rsti)"s 'r )urr"nts "ntrants( Th" $ra%ity 'f th" "arth t'!ar&s th" h"a%y *'&i"s an& fr'm a## its arts )'nstitu"nt is #"ss si$nifi)ant that th" $ra%ity 'f h"a%y *'&i"s t'!ar&s th" #an& *")aus" th" )urr"nts that )'m" fr'm th" "arth an& th's" that ar" &i%"r$"nt Th"y "nt"r it ar" )'n%"r$"nt+ *")aus" th" 'ut$'in$ )urr"nts sti## r"tain !h"n th"y 'ut th" sinu'us th"y ha& a)7uir"& in th" int"rsti)"s 'f "arth an& th" sin. )urr"nts ar" rushin$ t'!ar& th" $r'un& !ith m'r" )'n)"ntrati'n( 9> 0 At th" 'ints !h"r" th" in)'min$ an& 'ut$'in$ )urr"nts ar" *a#an)"& $ra%ity )"as"s( 3Fi$( 864 S' *"t!""n th" m''n an& th" "arth at a &istan)" 'f th"s" t!' stars th" $ra%ity "n&s( Curr"nts $'in$ fr'm th" "arth t' th" m''n ar" first %"ry !"a. an& &i%i&"& #a)"+ th"y *")'m" ins"nsi*#y )'n%"r$in$ an& th"ir s""& in)r"as"s+ in th" sam" !ay that th" )urr"nt )'martm"nt fr'm th" m''n t' th" "arth is in th" first #a)" as %"ry !"a. an& &i%"r$"nt+ )'n%"r$"nt an& im"r)"ti*#y s' th"y *")'m" th"ir '%"r rat" in)r"as"s( N'! th"r" must *" 'ints !h"r" s""& is 'f s'm" "7ua# t' th" s""& 'f th" 'th"r an& in th"s" 'ints th" s"%"rity must )"as"+ f'r this a *'&y that !i## *" in this #a)" !i## n' #'n$"r *" &"t"rmin"& t' $' t' th" #an& 'r t' th" m''n( S'+ a$ain+ t' a )"rtain &"th 'f th" mass 'f th" "arth $ra%ity "n&in$+ *")aus" at a )"rtain &"th 'f th" mass 'f th" "arth+ as *"t!""n th" "arth an& m''n+ th"r" must a#s' *" th" 'int !h"r" th" )urr"nts "ntrants &' n't r"&'minat" '%"r th" 'ut$'in$ )urr"nts an& !h"r" th" s""& 'f 'n" is "7ua# t' that 'f th" 'th"r+ an& at th"s" 'ints !" )an s"" that th" Gra%ity must "n&(
:5 0 It is sai& that th"r" ar" t!' s'rts 'f &ir")ti'ns 'f m'%"m"nt that *y 'n" th" arts 'f th" mat"ria# ar" at han&+ that f'r th" 'th"r sha## $' f'rth+ that f'r th" 'n" '"ratin$ th" )'m*inati'n 'r )'h"si'n+ !hi)h f'r th" 'th"r 'n" '"rat"s th" s"arati'n 'r &iss'#uti'n( :6 0 An "-tr"m"#y rai& m'%"m"nt 'f "#"m"ntary matt"r an& 's)i##at'ry+ !hi)h m"ans its &ir")ti'n is a#i"& t' a *'&y 'f !hi)h th" )'m*inati'n !hi)h is n't f'un& in a )"rtain &"$r"" 'f )'h"si'n r'&u)"s th" &iss'#uti'n 'f this *'&y( :8 0 This "-tr"m"#y rai& 's)i##at'ry m'%"m"nt is !hat y'u )a##"& fir"( Th" f')us is th"r"f'r" n't a *"in$+ a su*stan)" *ut as a## r'"rti"s th" matt"r is n't that a m'&ifi)ati'n ma&" *y th" m'%"m"nt( :9 0 Fir" )'nsi&"r"& in r"#ati'n t' 'ur s"ns"s r'&u)"s th" f#ui& uni%"rsa# an 's)i##at'ry m'%"m"nt !hi)h r'a$at"s t' th" r"tina that fr'm th" i&"a 'f th" f#am" 'r fir" an& sar.#" that is r"f#")t"& *y 'th"r *'&i"s+ $i%in$ th" i&"a 'f #i$ht( Th" sam" m'ti'n r'a$at"& an& a#i"& arts f'r us" in th" t'n"+ &iminish 'r fa&" m'r" 'r #"ss th" )'h"si'n+ $i%in$ th" i&"a 'f h"at( Th" f#am" !as th"n+ is a stat" 'f th" m'%"m"nt ''s"& t' th" stat" )'h"si'n( S' a## it )an &iminish th" status 'f )'h"si'n 'f th" su*;")t=s ar'a)hin$ m'r" 'r #"ss t' th" stat" 'f fir"( :: 0 Matt"r inf#ammat'ry 'r )'m*usti'n is 'n" that *y m"ans 'f r"a& )'m*inati'ns &'"s n't r"sist th" a)ti'n 'f th" m'%"m"nt ''s"& t' th" )'h"si'n( Th" )'m*usti*i#ity 'f th" matt"r is thus in its rati'na#ity #i$htn"ss(
:< 0 Th" &iff"r"nt 's)i##at'ry m'ti'n *#urrin$ &"str'y )'h"si'n an& in th" ar'-imati'n 'f matt"r t'!ar& th" fir" !as it r'&u)"s &iff"r"nt &"$r""s 'f h"at an& its "ff")ts(
E#"tri)ity :> 0 If t!' mass"s !h's" surfa)"s ar" 'f un"7ua# am'unts 'f fi##"rs th"y ar" at han& m'%"m"nt+ th" mass #"ss )har$"+ a))'r&in$ t' th" #a!s 'f )'mmuni)ati'n 'f m'%"m"nt+ r")"i%"s th" 'th"r 'n" that has m'r" an& a## *'th t"n& t' $"t in *a#an)"( Th" &'!n#'a& 'f m'%"m"nt 'f a th"s" mass"s 'n th" 'th"r y'u 'r )'nsi&"ra*#" am'unt simu#tan"'us#y 'r su))"ssi%"#y as thr'u$h th" su#y )hain( Th" first if it manif"st"& *y an "-#'si'n )aa*#" 'f r'&u)in$ th" h"n'm"n'n Fir" an& s'un&( Th" s")'n& )as" r'&u)"s th" h"n'm"na 'f an& in aar"nt &is$ust( In "ith"r )as"+ th" r"su#tin$ "ff")ts th" su&&"n &is)har$" 'r #at"r th" m'%"m"nt ar" )a##"& "#")tri)ity(
<2 0 In a## th" "#")tri)ity th"y '*s"r%" th" in)'min$ an& 'ut$'in$ )urr"nts(
Ma$n"t <5 0 In 'r&"r t' "-#ain th" h"n'm"n'n 'f th" ma$n"t+ !" ha%" t' r"m"m*"r h"r" s'm" rin)i#"s that !" ha%" "sta*#ish"&( /4 That *'&i"s ar" &ra!n t'!ar& "a)h 'th"r *y m"ans 'f in)'min$ an& 'ut$'in$ )urr"nts 'f th" uni%"rsa# f#ui&( 24 Sin)" "%"rythin$ in th" uni%"rs" is fu##+ y'u &' n't ha%" th" sin. )urr"nts !ith'ut 'ut$'in$ )urr"nts( 54 That th" s""& 'f a )urr"nt in)r"as"s in th" narr'!in$ r"as'n 'f th" int"rsti)"s( 64 @h"th"r th" str"n$th 'f a )urr"nt is ma&" *")aus" 'f th" s""& an& fr'm th" &ir")ti'n 'f th" &i"s fr'm !hi)h it is f'rm"&+ that is t' say that m'r" 'f th" )hains that f'rm th" &ir")ti'n is th" sam" an& th" #'!"r th" )urr"nt has 'f f'r)"( <6 0 Th"s" ar" th" r")'$ni"& rin)i#"s( <8 0 A *'&y in !hi)h 'n" s""s th" in)'min$ an& 'ut$'in$ )urr"nts Uni%"rsa# f#ui& !ith a arti)u#ar f'r)" an& &"t"rmin"& is )a##"& ma$n"t( A ma$n"t in th" str"n$th 'f th" )urr"nt is &"t"rmin"& in a arti)u#ar !ay !h"n th" )urr"nts f#'!in$ thr'u$h it '*"ys 'n" sam" m'ti'n+ an& ar" )arri"& t' th" r"$u#arity 'f th" $as that th" th"y r")"i%" in a sam" &ir")ti'n( Th" ma$n"t 'ints t'!ar&s !hi)h ar" &ra$ )hains that )r'ss th" ma$n"t ar" )a##"& '#"s( This namin$ 'f '#"s is *as"& 'n th" fa)t that a## th" ma$n"t fr""#y sus"n&"& *y a thr"a& is 'siti'n"& in su)h a !ay that 'n" 'f its "n& is )'nstant#y &ir")t"& t' th" n'rth an& 'n" t' th" s'uth 'f th" "arth( <9 0 As th" )urr"nts a*'ut th"ir #"a&"rshi ar" "ith"r in)'min$ 'r 'ut$'in$+ in th" sam" !ay !" ha%" t!' s")i"s 'f '#"s+ th" '#"s that r")"i%" th" )urr"nts an& 'f th" '#"s that ma." th"m( Ea)h '#" r")"i%"s an& ma."s+ *ut "a)h in a mann"r &"t"rmin"& as a r"su#t 'f th" am'unt 'f m'%"m"nt t' !hi)h it '*"ys th" 'n" r")"i%"s m'r" str'n$#y than th" ma.in$+ th" 'th"r ma."s it m'r" f'r)"fu##y than in r")"i%in$+ !i## *" )a##"& h"r" 'n"+ &'n'r )"nt"r an& th" 'th"r r")"i%"r '#"(
<: 0 Th"r" ar" t!' .in& 'f ma$n"t+ th" natura# ma$n"t an& th" ma$n"t artifi)ia#( Th" natura# ma$n"t is a *'&y that is f'rm"& 'n th" a)ti'n 'f $"n"ra# m'%"m"nt that &ra$s th" uni%"rsa# f#ui& fr'm 'n" '#" 'f th" "arth an'th"r+ thr'u$h th" "ff")t 'f this m'%"m"nt "-tr"m"#y &"t"rmin"& th" ma$n"t $as !"r" &istri*ut"& !ith a r"$u#arity "rf")t an& a)7uir" in th" sam" &ir")ti'n th" f#ui& that ass"s thr'u$h it( Th" ma$n"t is artifi)ia# in 'ri$in an& *"f'r" that *" a ma$n"t+ a *'&y in !hi)h th" int"rsti)"s ar" n't r"$u#ar *ut 'f su)h a stru)tur" it )an *")'m" r"$u#ar !h"n "-'s"& t' th" a)ti'n 'f )"rtain natura# ma$n"t 'r th" uni%"rsa# f#ui& !hi)h is 'siti'n"& *y a '#" 'f th" "arth t' th" 'th"r+ thr'u$h th" "ff")t 'f th" a)ti'n 'f th" ma$n"t 'r 'f th" uni%"rsa# f#ui& 'f su)h a B'&y th"s" int"rsti)"s ta." th" sam" &ir")ti'n an& th" sin. )urr"nts an& R"tirin$ $"t t'$"th"r an& s"tt#" 'n t!' 'f th"s" 'ints 'f a su*;")t s"nsiti%"( Ir'n an& f"rru$in'us su*stan)"s ar" #ia*#" t' a)7uir" th" r'"rti"s 'f th" ma$n"t(
<< 0 If !" r"st th" ir'n fi#in$s 'n a ma$n"t+ it is '*s"r%"& that it has as in Fi$( 88+ i" is &istri*ut"& in t!' %'rti)"s1 this r'%"s that th" f#ui& t' !hi)h This fi#in$ '*"ys+ ris"s an& fa##s in th" ma$n"t+ is &istri*ut"& him its"#f int' t!' %'rti)"s( If th"r" ar" t!' ma$n"ts t' "a)h 'th"r *y m"ans 'f th" th"ir s'uth '#"s an& th" s'uth+ n'rth an& n'rth an& !" ut ir'n fi#in$s+ it &istri*ut"s as in Fi$ur" 89+ i" th" &istri*uti'n 'f fi#in$s is th" sam" ar'un& "a)h ma$n"t+ that if th"y ar" n't in th" r"s"n)" 'f "a)h 'f th" 'th"r( An& if y'u ar'a)h th"s" t!' a#!ays ma$n"ts f'r th"ir n'rth '#"s an& th" n'rth+ s'uth an& s'uth+ it is '*s"r%"& that th" fi#in$ !hi)h is ar'un& th"ir '#"s r""#s+ this r'%"s that th" f#ui& that is ar'un& 'n" r";")ts th" f#ui& that is ar'un& "a)h 'th"r( If t!' ma$n"ts ar" )#'s" t' 'n" an'th"r f'r th"ir '#"s n'rth an& s'uth+ s'uth an& n'rth+ an& !" ut th" ir'n fi#in$s+ that y'u ha%" as in Fi$ur" 8:+ an& th" ma$n"ts attra)t+ this sh'!s that th" f#ui& )'min$ 'ut 'f a ma$n"t #aun)h"s an'th"r an& an'th"r( If y'u ar'a)h a
i")" 'f ir'n at th" n'rth '#" 'r th" s'uth '#" 'f a ma$n"t+ th" fi#in$ is )'m's"& as in Fi$ur" 8:+ an& thr'u$h th" 'n" 'r th" 'th"r '#" "ith"r th" ma$n"t attra)ts ir'n( If y'u sus"n& a i")" 'f ir'n in th" air in th" &ir")ti'n 'f th" n'rth 'r th" s'uth+ th" ur)has" 'f ir'n '#"s an& it *")'m"s ma$n"t( In a## natura# 'r artifi)ia# ma$n"ts "-ist *"t!""n th" '#"s a 'int that is )a##s "7uat'r !h"r" ma$n"tism a)ti'n is n't f"#t+ i" !h"r" th"ir *'&i"s ar" n"ith"r attra)t"& n'r r""##"&( <> 0 That "-#ains a## th"s" fa)ts( /4 Sin)" "%"rythin$ in th" uni%"rs" is fu##+ th"r" is n' )urr"nt s'ur)"s !ith'ut th" in)'min$ )urr"nt+ th" f#ui& that is #aun)h"& *y a ma$n"t )an n't $' 'ut if it is n't r"#a)"&+ an& s' this f#ui& has a)7uir"& *")aus" 'f th" narr'!n"ss an& r"$u#arity 'f th" int"rsti)"s that th"y ar" tra%"rs"& in $r"at rai&ity must *" r"#a)"& in th" ma$n"t as r"a&i#y as it )am" 'ut( Th"r"f'r" )an n't *" that r"#a)"& in th" %'rt"- an& *y th" sam" su*;")t matt"r that th" )r'ss"s+ sin)" th" )hain+ f'r
instan)"+ that )'m"s fr'm th" s'uth '#" 'f th" A( ma$n"t must )h''s" th" 'n" that 'ff"rs th" #"ast r"sistan)"( S' it $'"s fr'm 'int A( t' 'int B( *")aus" t' th" "-t"nt that )'m"s fr'm 'int A( t' 'int B( s"" him t"ns" an& am'n$ many 'ints !i##+ as m"nti'n"&+ th" 'n" 'ff"rin$ th" #"ast r"sistan)" !h"r" th" r'a& t"n&s &'n"( 24 On th" 'n" han& r")"i%"s a ma$n"t !ith m'r" f'r)" inst"a& t' $i%" an& that th" 'th"r it $i%"s m'r" str"n$th rath"r than r")"i%"+ a))'r&in$#y+ !" )a## 'n" 'f th" ma$n"t '#"s+ '#" an& &'n'r th" 'th"r han&s"t '#", it is n'! )#"ar that if y'u ar" ''sin$ a '#" r")"i%"r t' a r")"i%in$ '#"+ 'r a &'n'r t' a &'n'r )"nt"r '#"+ th" f#ui& f#'!in$ thr'u$h th" ma$n"t must ."" ar'un& th" t!' th" th" sam" fi$ur" that a"ars+ sin)" th"r" is n' r"as'n !hy )han$"s+ it is sti## "%i&"nt that if y'u ar'a)h th" t!' ma$n"ts f'r th" th"ir '#"s &'n'rs 'r f'r th"ir r")"i%"rs '#"s+ th" f#ui& that "-its fr'm th"s" '#"s must )'##i&", it !i## *" th" h"n'm"n'n 'f r"u#si'n 'r transmissi'n in th" ''sit" &ir")ti'n+ th"r"f'r" th"y ar" )a##"& th" s'uth '#"+ th" '#"s that $i%" an& th" n'rth '#"+ th" '#"s that th"y r")"i%", 'f th" ma$n"ts ar'a)h"& f'r th"ir s'uth '#" 'r n'rth r""#( 54 Aft"r a#i)ati'n 'f th" s")'n& "%"nt+ th" thir& 'ff"rs n' &iffi)u#ty+ s""n h"r" that if !" ar'a)h t!' ma$n"ts f'rth"ir n'rth an& s'uth '#"s 'r n'rth an& s'uth+ ar'a)hin$ a r")"i%in$ t"rmina# t' a '#" &'n'r 'r %i)" %"rsa+ th"ir f#ui& that ;ums 'ff th" '#" &'"s n't n""& t' )'m" *a). in th" sam" ma$n"t '#" It r")"i%"s+ )an m""t an'th"r ma$n"t '#" that r")"i%"s, this " must th"r"f'r" $' t'!ar&s th" '#" !hi)h is )#'s"st t' it an& "a)h 'th"r+ an& it must *" th" attra)ti'n h"n'm"n'n( 64 Th" ir'n is r'*a*#y a *'&y that as th" natura# ma$n"t !as )'m's"& un&"r th" a)ti'n 'f th" ma$n"ti) f#ui& that has a '#" 'f th" "arth t' an'th"r+ *ut h"r" '*"ys #"ss t' th" a)ti'n 'f this f#ui& that th" natura# ma$n"t+ as a r"su#t 'f its int"rsti)"s that ar" m'r" irr"$u#ar+ th" &ir")ti'ns 'f th" ma$n"ti) f#ui& that )r'ss"s( Th"y ar" m'r" )'nfus"& an& s'm" n't "n'u$h t' f'rm r"&'minat"s '#y s"nsiti%"+ s' as a r"su#t th" stru)tur" 'f th"s" int"rsti)"s is su)h that th"y )an *" "asi#y strai$ht"n"& if su*&u"&+ s' str'n$ an& &"t"rmin"& a)ti'n t' !hi)h th"y '*"y th" tim" 'f th"ir f'rmati'n( Th"r"f'r"+ a i")" 'f "-'s"& ir'n in fr"" air in th" &ir")ti'n 'f th" n'rth 'r th" s'uth+ !i## a)7uir" th" r'"rti"s 'f ma$n"t( Th"r"f'r" a i")" 'f ir'n t' a ma$n"t !i## *" ar'a)h"& "ith"r attra)t"& *y th" s'uth '#" 'r n'rth '#" 'f th" ma$n"t+ *")aus" th" !'r#& its"#f has n' arti)u#ar fi-"& '#"+ r")"i%"s its *y th" a)ti'n 'f th" ma$n"t '#"s !hi)h '*"ys( @" ha%" a#r"a&y s""n that a## 'ints 'r sin. )urr"nts ha%" n' m'r" str"n$th than th" )urr"nt 'ut$'in$+ it has a *a#an)" an& that th" *'&i"s )an n't *" attra)t"& n'r r";")t"&+ it has th"r"f'r" a 'int )a##"& th" "7uat'r in "a)h ma$n"t !h"r" th" ma$n"ti) a)ti'n is n'thin$+ an& at this 'int th" )urr"nts that m""t ar" n't
str'n$"r 'n "a)h 'th"r an& that th's" !hi)h th"y aris" n't r"%ai# '%"r th's" that fa##+ an& %i)"%"rsa( >? 0 Sin)" th" #a! 'f th" ma$n"t that r'&u)"s th" h"n'm"na is that 'f th" m'%"m"nt in fu##+ it #''.s #i." th" m'&"# 'f th" ma$n"t uni%"rs" m'%"m"nt(
>/ 0 Th"r" has *""n ta#. h"r" 'f th" $"n"ra# "** an& f#'! *"t!""n th" $r"at )"#"stia# *'&i"s+ Suns 'r that m'%" in sa)"+ f#'! an& "** 'f th" arti)u#ar P#an"ts that m'%" ar'un& th" Suns an& a*'%" th" "** an& f#'! arti)u#ar#y 'f th" Earth+ th" "** an& f#'! m'r" &"tai# 'f *'&i"s that m'%" 'r that "-ist 'n th" surfa)" 'f #an"ts+ an& "s")ia##y th" f#'! an& f#'! *"t!""n th" *'&i"s that m'%" 'r that "-ist 'n th" surfa)" 'f "arth( It !as n")"ssary t' say that this f#'! an& "** "-istin$ *"t!""n th" $r"at as am'n$ th" sma## *'&i"s m"ans that a## *"in$s s=inf#u"nin' 'n" !ith th" 'th"r an& that th"y ar" th" r'&u)t 'f th"s" inf#u"n)"s( >2 0 Th"y !i## r"m"m*"r thr"" thin$s1 /4 That th" $ra%ity 'r mutua# t"n&"n)y 'f *'&i"s t'!ar&s "a)h 'th"r has t' )aus" th" )urr"nts 'f th" uni%"rsa# f#ui& in !hi)h a## th" *'&i"s ar" imm"rs"&( 24 That th" $ra%ity 'r mutua# t"n&"n)y am'n$ th" h"a%"n#y *'&i"s is "-"r)is"& thr'u$h )urr"nts $'in$ fr'm 'n" t' an'th"r an& in !hi)h th"s" *'&i"s ar" imm"rs"&( 54 @hat m'r" ar'a)hin$ a *'&y t' its )"nt"r 'f $ra%ity an& its $ra%itati'n t'!ar&s this )"nt"r is )'nsi&"ra*#"+ it is #"ss )#'s" t' its )"nt"r 'f $ra%ity an& #"ss than its $ra%itati'n t'!ar&s this th" )"nt"r is )'nsi&"ra*#"( >5 0 Sai& this+ th" im#i)ati'ns ar"1 >6 0 It is sai& that th" tr"n& 'f th" h"a%"n#y *'&i"s is m'r" &ir")t an& str'n$"r am'n$ arts 'f th"ir surfa)"s that #''.+ that th" arti"s 'f th"ir surfa)"s that &' n't #''.( L"t th" t!' h"a%"n#y *'&i"s that y'u #''. AB 3Fi$( 8<4 It =)#"ar that th" rrr 'ints 'f th" *'&y A( an& sss 'ints 'f th" *'&y B( ar" simu#tan"'us#y &ra!n t'!ar& th" )"nt"rs C an& C t' !hi)h th"y *"#'n$+ an& fr'm th" rrr *'&y 'ints A( an& sss B'&y B(
>8 0 It is sai& that th" mutua# t"n&"n)y 'f )"#"stia# *'&i"s is "-"r)is"& '%"r a## th" )'nstitu"nt arts( S' if $ra%ity *"t!""n t!' )"#"stia# *'&i"s &")r"as"s t' th" 'ints that y'u #''. at+ it must &")r"as" t' ''sit" 'ints, if th" *'&i"s A( an& B( $ra%ity &")r"as"s th" TT 'ints+ it must &")r"as" a#s' at ''sit" 'ints OO Sin)" a## 'ints 'f th" *'&y A( t"n& t'!ar& th" *'&y B( "a)h+ *")aus" 'f th" &istan)" fr'm th" *'&y B(+ nam"#y that th" )#'s"r th"y ar" t' B( *'&y an& t"n& t'!ar&s it( S' if th" 'int T( t"nts 'r &ra$$"& th" *'&y t' th" )"nt"r B( C( an& th" 'int O( t"n& 'r ar" s' &ra$$"& int' th" *'&y B(+ *ut th" 'int T( m'r" than th" )"nt"r an& th" )"nt"r C( C( m'r" than th" 'int O( Or su's" n'! that th" 'int T( &ra$$"& t'!ar&s th" *'&y B( t!' &"$r""s m'r" than th" )"nt"r C( an& that th" )"nt"r C is &ra$$"& t'!ar&s th" B( *'&y 'f t!' &"$r""s m'r" than th" 'int O( Th" $ra%itati'n t'!ar& T( B( is 6 as that 'f C( t'!ar&s B(+ that !i## *" as 2 an& that 'f O( !i## *" t'!ar&s B( as "r'( Su's" h"r"inaft"r that th" $"n"ra# $ra%itati'n 'f a## th" 'ints 'f th" A( *'&y t'!ar&s th" )"nt"r C( *'th as 9 $ra%itati'n 'f T( an& O( 'ints t'!ar&s th" )"nt"r C( !i## "7ua# 9( In th"s" )as"s it is "%i&"nt that th" )"nt"r C is &ra$$"& t'!ar& th" *'&y B( 2 !ith th" f'r)" m'r" than th" 'int O( But th" $ra%ity *"t!""n th" *'&i"s &")r"as"s in r"as'n 'f r"m'%a# fr'm th"ir )"nt"rs 'f $ra%ity(
Th"r"f'r" th" $ra%ity t'!ar& that *y O( C( !as as 9+ it !i## n't *" m'r" than as 9 minus 2( It=s )#"ar that th" )"nt"r C is &ra$$"& !ith 2 f'r)" t'!ar&s th" *'&y an& B( It !i## *" &ra$$"& !ith 2 str"n$th t' th" 'int T !hi)h is th" #in" 'f his &ra$$in$ t'!ar& B( C( Th" )"nt"r )an th"r"f'r" *" )'nsi&"r"& as th" )#'s"st 'int 'f th" T( 2 &"$r"" than *"f'r"( But th" $ra%ity in)r"as"s *y r"as'n 'f this ar'a)h 'f th"ir )"nt"rs 'f $ra%ity( S' $ra%ity *y T( C( !as #i." t' *" #i." 9 9 m'r" 2 'r <( But if th" )"nt"r C( t"n&s t' ar'a)h th" 'int T( !ith 2 str"n$th+ th" 'int T &ra$$"& thr'u$h th" *'&y B+ it t"n&s t' m'%" a!ay fr'm th" )"nt"r !ith 6 C( '!"r( Th"r"f'r" th" $ra%ity fr'm th" 'int t'!ar& T( C( is su's"& t' *" su)h as <+ < as !i## *" #"ss than < #"ss than 6( But 6+ 'r 6+ !hi)h "-r"ss"s th" s"%"rity 'f T( O( At is "7ua# t' 9 minus 2+ 'r 6+ !hi)h "-r"ss"s th" s"%"rity 'f O( t'!ar&s C( Th"r"f'r" th" $ra%ity )an n't &")r"as" t' th" 'int T( f'r th" "ff")t 'f th" th" )"#"stia# *'&y B( If it &'"s n't &")r"as" in th" sam" mann"r in st" O( !hi)h is ''sit" t' th" 'int T( >9 0 It is sai& that th" *'&i"s a#!ays $' t' th" #a)" that 'ff"rs th"m th" #"ss r"sistan)"( S' t' si" an& in th" sam" mann"r that th" $ra%ity &")r"as"s in t!' ''sit" 'ints 'f a )"#"stia# *'&y+ t' T( O( an& 'ints+ f'r "-am#"+ it in)r"as"s th" 'ints that ar" "7ui&istant fr'm th" 'ints ''sit" t' 'ints+ f'r "-am#"( 3Fi$( 9?4
T' *"tt"r un&"rst''&+ *'th in *'&y A( TO th" f#ui&+ !hi)h "-t"n&s an& It is &istri*ut"& at "7ua# &istan)"s fr'm th" )"nt"r C t' !hi)h it is &ra$$"&( This f#ui& &'"s n't "-t"n&+ an& is n't &istri*ut"& at "7ua# &istan)" fr'm C( th" )"nt"r as it is ush"&( This )"nt"r *y m"ans 'f a simi#ar $ra%itati'n f'r)"+ in a## th" 'ints TO Of its )ir)umf"r"n)" !i## *" assum"& as this is t' '))ur $ra%itati'na# f'r)" "7ua# t' 9( Th" 'ints TO !"i$h thus t' th" )"nt"r C( !ith 9 'f str"n$th( Th" 'ints TO B")aus" 'f th" r"ssur" 'f th" f#ui& ar'un& th" s"ns" !"i$h thus mutua##y t'!ar&s 'n" 'th"rs !ith 9 'f str"n$th( thus maintainin$ th" f'r)" 'f $ra%itati'n that is #i." 9 &")r"as"& *y 2 t' TO 'ints+ an& a#!ays &")r"as" as 9 t' 'ints that th" "-istin$ f#ui& T( an& O( &"arts than 2 &"$r""s 'ff )"nt"r that C( &"arts than 2 &"$r""s 'ff )"nt"r an& !"i$h #"ss than 2 &"$r""s 'n th"
f#ui& "-istin$ in + !hi)h !i## r"sist th"r"f'r" #"ss than 2 &"$r""s t' th" "-istin$ f#ui& in Th"r"f'r" th" r"sistan)" t"st that th" "-istin$ f#ui& in !as #"ss than 2 &"$r""s+ th" f'r)" that *rin$s this f#ui& t'!ar&s th" )"nt"r C( in)r"as" *y 2 &"$r""s+ th"n th" "-istin$ f#ui& in + *i##'!s 'f 2 &"$r""s fr'm th" )"nt"r C( But as th" *'&i"s ar'a)h th"ir )"nt"rs 'f $ra%ity+ th" m'r" th"ir s"%"rity in)r"as"s( Th"r"f'r"+ in th" sam" mann"r that m"asurin$ th" $ra%ity &")r"as"s t' TO 'ints B")aus" th"s" 'ints sha## $' f'rth fr'm th"ir )"nt"r 'f $ra%ity+ it in)r"as"s th" T 'ints B")aus" th"s" 'ints ar" at han& fr'm th"ir )"nt"r 'f $ra%ity( In th" 'int that it is T( t"rms 'f astr'n'my am'n$ th" C( an& B( )"nt"r th" *'&y is )a##"& in ''siti'n t' th" *'&y an& 'int B( SS+ !hi)h ar" "7ui&istant fr'm th" 'ints T( an& O( ar" )a##"& 7ua&ratur"( >: 0 It is sai& that th" h"a%"n#y *'&i"s r'tatin$ 'n th"ir a-"s+ a#!ays ''s" ha#f 'f th"ir surfa)"s an& that is 'n th"ir ha#f that y'u #''. at y'u su))"ssi%"#y an& a#t"rnat"#y a#i"s th" a)ti'n 'f th" )urr"nts fr'm 'n" t' th" 'th"r ar" th" )aus" 'f $ra%ity( Th"r"f'r"+ s' *y m"ans 'f th" "ff")t 'f !i## $i%" m'%"m"nt t' t!' )"#"stia# *'&i"s th" 'ints 'f th"ir surfa)"s #''. su))"ssi%"#y an& a#t"rnat"#y th" s"%"rity 'f th"s" 'ints t'!ar& th"ir )'mm'n )"nt"rs !i## *" su))"ssi%"#y an& a#t"rnat"#y &")r"as"& an& in)r"as"&( B")aus" n"-t t' !hat y'u !i## s"" is "%i&"nt that at th" m'm"nt !h"n th" 'int 'f th" *'&y T( A( is in )'n;un)ti'n !ith th" B( *'&y+ its $ra%ity t'!ar&s th" )"nt"r C( &")r"as"s+ in)r"as"s in th" ( in th" m'm"nt in !hi)h it is in 7ua&ratur" !ith th" *'&y B(+ that it &")r"as"s 'f n"! 'r O( !h"n it is in !h"n it is in ''siti'n !ith th" *'&y B( that it in)r"as"s a$ain( @h"n is ( 'r !h"n it is sti## in 7ua&ratur" !ith th" B'&y B( >< 0 It is sai& that th" tr"n& 'f th" h"a%"n#y *'&i"s is m'r" 'r #"ss str'n$ in *")aus" 'f th"ir mass an& th"ir &istan)"s( Th"n+ in a )"#"stia# *'&y th" s"%"rity &")r"as"s in th" 'ints !hi)h ar" in )'n;un)ti'n 'r in ''siti'n !ith an'th"r *'&y+ an& it !i## in)r"as" in th" 'ints !hi)h ar" in 7ua&ratur" !ith this an'th"r *'&y &""n&in$ 'n th" mass 'f this 'th"r *'&y !i## *" )'nsi&"ra*#" an& that its &istan)" fr'm th" *'&y 'n !hi)h it a)ts !i## *" sma##"r( B")aus" if *'&y B( ar'a)h"s th" *'&y A( in)r"as"s 'r mass y'u !i## attra)t m'r" t' it a## arts 'f th" *'&y A( Th"r"f'r" th" T( O( an& 'ints that ar" in )'n;un)ti'n an& in ''siti'n t' &")r"as" th" s"%"rity an& 'ints @hat ar" 7ua&ratur" s"%"rity !i## in)r"as"+ *")aus" as !" ha%" s""n+ th" s"%"rity It )an n't &")r"as" t' T( O( 'ints an& if it &'"s n't in)r"as" th" 'ints >> 0 E =th"r"f'r" sh'!n that *"t!""n t!' *'&i"s !hi)h a)t 'n" 'n th" 'th"r th" $ra%ity &")r"as"s at th" 'ints 'f th"s" t!' *'&i"s that ar" in )'n;un)ti'n+ that if $ra%ity &")r"as"s in th" ;un)ti'ns+ it &")r"as"s in th" sam" r"as'n th" 'ints in ''siti'n+ that if $ra%ity &")r"as"s in th" 'ints !hi)h ar" in )'n;un)ti'n an& in ''siti'n+ it in)r"as"s in 'ints that ar" in 7ua&ratur"+ that if
th" 'ints 'f th" t!' )"#"stia# *'&i"s ar" an& th"n a#t"rnat"#y in )'n;un)ti'n an& ''siti'n an& in 7ua&ratur"+ th"ir s"%"rity+ an& !i## th"n a#t"rnat"#y in)r"as"& an& &")r"as"&+ that this in)r"as" an& &")r"as" in a#t"rnati%" an& N"-t it !i## *" str'n$"r 'r !"a."r &""n&in$ 'n !h"th"r th"s" *'&i"s ha%" m'r" 'r #"ss mass an& th"ir a#i"nati'n *"t!""n th"m !i## *" m'r" 'r #"ss )'nsi&"ra*#"(
/?? 0 Th" a#t"rnatin$ "ff")ts 'f $ra%ity *"t!""n t!' 'r m'r" *'&i"s *")aus" 'f th"ir m'%"m"nt an& 'f r"m'%a# r"as'n+ ar" ma&" u 'f !hat !" )a##"& "** an& f#'!( /?/ 0 It has+ th"r"f'r"+ an "** an& f#'! *"t!""n a## *'&i"s m'%in$ in sa)"+ *")aus" th" *'&i"s a)t 'n "a)h 'th"r *y m"ans 'f th" "ff")t 'f )urr"nts ran$in$ fr'm 'n" t' an'th"r+ !h's" a)ti'n is r"inf'r)"& 'r !"a."n"& &""n&in$ 'n !h"th"r th"s" *'&i"s m'%" a!ay 'r ar'a)hin$( /?2 0 It has+ th"r"f'r"+ an "** an& f#'! *"t!""n a## th" *i$ *'&i"s+ 'f a## th" Suns 'r stars that m'%" in sa)"( Th" %'rti)"s 'f !hi)h th"s" stars ar" th" )"nt"rs &""n&in$ 'n !h"th"r th"y m'%" *"t!""n th"m t'!ar&s 'r r"m'%a#+ ha%" thus th"ir m'r" 'r #"ss &")r"as"& s"%"rity+ m'r" 'r #"ss in)r"as"&+ in th" 'ints 'f th"ir surfa)"s !hi)h ar" in )'n;un)ti'n+ in ''siti'n+ 7ua&ratur"+ 'ur s'#ar %'rt"- has S' a simi#ar f#'! t' !hat !" '*s"r%" 'n "arth( /?5 0 It has+ th"r"f'r"+ an "** an& f#'! 'f a## th" #an"ts !hi)h m'%" ar'un& a sun+ *"t!""n th"s" #an"ts an& th" Sun ar'un& !hi)h th"y m'%" an& this "** an& f#'! f'r a #an"t is m'r" 'r #"ss str'n$+ &""n&in$ 'n !h"th"r th" Sun an& #an"ts+ t' !hi)h it '*"ys+ th"y *'th h"# t' th" sam" "ff")t( Su's" th" Sun an& th" #an"ts A( BCDE 3Fi$( 924 It=s )#"ar that sin)" th"r" ar" in)'min$ an& 'ut$'in$ )urr"nts *"t!""n th" Sun A+ an& BCDE #an"ts+ *")aus" th"s" #an"ts ha%" a m'%"m"nt 'f turnin$ 'n th"ms"#%"s an& th's" r"s"ntin$ s' #at"r an& a#t"rnat"#y at th"ir Sun a## 'ints 'f th"ir surfa)"s th" a)ti'n an& th" n"-t a#t"rnati%" 'f th" Sun+ "s")ia##y th"s"
Th" s"%"rity !i## *" &iminish"& t' th" 'int T( that if 'n" 'f his t!' stars a)t 'r 'n#y if th" a)ti'n 'f 'n" 'f th"s" stars is ''sit" t' th" a)ti'n 'f th" 'th"r, *ut th" Gra%ity )an n't *" &")r"as"& t' th" 'int T( If it &'"s n't &")r"as" f'r th" sam" r"as'n t' th" 'int O( if it &'"s n't in)r"as"+ as has *""n s""n+ t' th" 'ints Th" "**s an& f#'!s in th" #an"t B( is n't that th" in)r"as" an& &")r"as" an& su*s"7u"nt a#t"rnati%" 'f $ra%ity t' TO 'ints+ !i## th"r"f'r" "7ua##y in)r"as"& 'r &")r"as"& if th" Sun an& #an"ts t' !hi)h th" B( #an"t '*"ys )'ntri*ut" t'$"th"r 'r &' n't )'ntri*ut" t' sam" a)ti'n( /?6 0 It=s "asi"r n'! "-#ain th" "** an& f#'! '*s"r%"& 'n "arth( Th" #an& is surr'un&"& *y a f#ui& mat"ria#+ th" air an& th" !at"r that "-"ri"n)" a &is#a)"m"nt 'r an "** an& f#'! thr'u$h th" "ff")t th" a)ti'n 'f th" h"a%"n#y *'&i"s that a)t 'n it( T!' a$"nts )"#"stia# *'&i"s a si$nifi)ant "ff")t 'n th" "arth+ th" sun an& th" m''n+ th" sun far #"ss than th" m''n *")aus" 'f its r"m't"n"ss( @" &' n't "r)"i%" th" a)ti'n 'f th" sun an& m''n 'n th" air+ *ut this a)ti'n It is %"ry %isi*#" f'r us 'n th" !at"rs 'f th" s"a( Durin$ si- h'urs y'u s"" it ris" an& sr"a& 'n th" *an.s an& that is !hat is )a##"& f#'!+ aft"r si- h'urs y'u " s""s &'!n an& $"t a!ay fr'm th" *an.s an& that is !hat is )a##"& r"f#u-( In th" sa)" 'f a &ay th" !at"rs ris" thus t!' tim"s a*'%" 'f th"ir h"i$ht an& th"y $' #'! th"r"f'r" t!i)" 'f un&"r( It is '*s"r%"& m'r" than th" s"a !at"r )an n't ris" 'r fa## in 'n" h"mish"r" that th"y &' n't ris"+ 'r n't in s=a**assan' 'ints th"ir )'rr"s'n&in$ ''sit" ha#f( Su's" th" "arth T( 3Fi$( 984 an& th" m''n L( Th" m''n r'tatin$ ar'un& th" Earth T( L( an& ABCD 'ints An& it=s "%i&"nt th" "ff")t 'f m'%"m"nt 'f th" m''n in "a)h 'f th" 'ints ABCD
Th" 'int A( f'r "-am#" must *" 'n)" in )'n;un)ti'n+ 'n)" in ''siti'n an& t!i)" in 7ua&ratur" !ith th" m''n+ !h"n th" m''n is at th" a*'%" th" 'int A( Th" 'int A is in )'n;un)ti'n !ith it, !h"n th" m''n $"ts t' th" 'int B( Th" 'int A( is in 7ua&ratur" !ith it+ !h"n th" m''n $"ts t' th" 'int C+ th" 'int A is in ''siti'n t' it, !h"n th" m''n $"ts t' th" 'int D(+ 'int A( is sti## in 7ua&ratur" !ith it( But !h"n th" 'int A is in )'n;un)ti'n 'r in ''siti'n t' th" m''n+ its $ra%ity t'!ar&s th" )"nt"r 'f th" "arth &")r"as"s an& th" !at"r !hi)h is h"r" th"y sha## $' f'rth fr'm th" )"nt"r 'f th" "arth an& ris"( !h"n th" P'int A is in 7ua&ratur" !ith th" m''n+ its $ra%ity t'!ar&s th" )"nt"r 'f #an& ris"s an& th" !at"rs that ar" h"r" )'m" )#'s" t' th" )"nt"r th" "arth an& th"y $' #'!( Or in th" sa)" 'f a &ay is th" 'int A( 'n)" in )'n;un)ti'n an& 'n)" in ''siti'n t' th" m''n+ in sa)" 'f a &ay th" !at"rs ris"+ th"n t!i)" in 'int A( In th" sa)" 'f a &ay st" A( it is t!i)" in 7ua&ratur" !ith th" m''n an& in th" sa)" 'f a &ay s"a!at"r #'!"rs thus t!'+ s'm"tim"s th" 'int A( @hat is sai& 'f th" 'int A(+ it must *" sai& 'f th" 'ints BCD By th" "ff")t 'f th" m'%"m"nt 'f th" m''n an& 'f th" in)r"as" an& th" &")r"as" n"-t 'f $ra%ity that r'&u)"s this m'%"m"nt+ it is th"r"f'r" It is sh'!n that th" !at"rs ris" an& fa## t!i)" in a &ay( M'st+ as !" ha%" s""n+ th" s"%"rity )an n't &")r"as" if th" 'int A( it is in )'n;un)ti'n !ith th" m''n+ if n't &")r"as" in th" sam" !ay t' 'int C !hi)h is in ''siti'n( Th"r"f'r"+ if th" !at"rs ris"+ th"y sha## ris" in th" 'th"r h"mish"r"( M'r" sti## as s""n+ $ra%ity )an n't &")r"as" at th" 'int B( !hi)h is 7ua&ratur" !ith th" m''n if it &'"s n't in)r"as" th" 'th"r 'int )'rr"s'n&"nt !h' is s' s7uar" t' th" m''n+ th"n+ if th" !at"rs #'!"r in 'n" h"mish"r" th"y must a#s' fa## int' th" 'th"r( It as s'."n 'f th" a)ti'n 'f th" m''n 'n th" "arth+ this a)ti'n is 'r in)r"as"& 'r !"a."n"& &""n&in$ 'n th" Sun )''"rat"s
!ith th" m''n f'r r'&u)" an i&"nti)a# "ff")t 'r that a)ts in art t"n&in$ t' r'&u)" th" &iff"r"nt "ff")ts( Su's" th" Sun S(+ th" m''n an& th" "arth T( L( 3Fi$( 994 Th" m''n is in )'n;un)ti'n !ith th" Sun !h"n *'th ar" 'n th" sam" #in" a$"nts 'n th" 'int A( #an&( Th" m''n is in ''siti'n !ith th" Sun !h"n *'th ar" 'n th" sam" #in"+ th" Sun a)tin$ 'n th" 'int A an& m''n 'n th" 'int C( Th" m''n is in 7ua&ratur" !ith th" Sun !h"n th" Sun a)ts 'n 'ints A( 'r C( th" m''n 'n th" 'ints B( 'r D( Aft"r !hat !" ha%" sai& it is )#"ar that sin)" th" m''n is in )'n;un)ti'n 'r ''siti'n !ith th" Sun+ its shar" 'f th" 'ints #an& t' !hi)h it r"s'n&s is in)r"as"&+ *")aus" th" t!' stars )'m"t" t'$"th"r t' r'&u)" th" sam" "ff")t+ it is "%i&"nt that sin)" th" #at"r m''n is in 7ua&ratur" !ith th" Sun+ its a)ti'n 'n th" $r'un& 'ints t' !hi)h it )'rr"s'n&s &")r"as"& *")aus" th" Sun &'"s n't a)t 'n th" sam" 'ints+ it t"n&s m'r" t' r'&u)" th" sam" "ff")t( In th" h"n'm"na '*s"r%"& in &iff"r"nt m''ns, th" n"! an& fu## m''ns th" "** an& f#'! 'f th" ti&"s 'r ar" str'n$"r than th" first an& #ast 7uart"r m''n+ as in th" first an& #ast 7uart"r m''n is s7uar" !ith th" sun an& th" n"! m''n+ th" m''n is in )'n;un)ti'n an& in th" m''n fu## is in ''siti'n !ith th" Sun(
A#!ays aft"r this+ !" ha%" t' say it sti## s""s that &""n&in$ 'n !h"th"r th" Sun an& m''n ar" *'th n"ar an& far fr'm th" "arth an& a))'r&in$ t' th" 'ints !h"r" th"y ar" in th"ir ar'a)h 'r in th"ir $"t a!ay+ !hat "ff")t r'&u)" 'n th" "** an& f#'! sh'u#& *" m'r" 'r #"ss str'n$( S' "7uin'-"s ti&"s ar" #ar$"r in $"n"ra# 'r th" f#'! an& r"f#u- is str'n$"r than in th" 'th"r s"as'ns 'f th" y"ar+ sin)" th" "7uin'-"s th" sun is t' "7uat'r 'r t' th" "ff")t 'f th" m''n+ th" "arth=s r'tati'n+ th" $ra%ity is #'!"r than 'n th" "7uat'r+ !hi)h in a## 'th"r 'ints 'f th" $#'*"+ th" !at"rs *"#'! th" "7uat'r thus natura##y ''s" #"ss r"sistan)" th" a)ti'n 'f th" sun !h"n this star is t' "7uat'r must rais" m'r" !at"rs 'f th" s"a an& r'&u)" an "** an& f#'! m'r" )'nsi&"ra*#"( It is 'th"r!is" in th" s'#sti)"s an& sin)" th" Sun is at a $r"at"r &istan)" fr'm th" "7uat'r aff")ts #"ss 'n 'ur $#'*"( /?8 0 Th" sam" has an "** an& f#'! 'f a## th" Suns+ 'f a## th" #an"ts m'%" in sa)"+ s' y'u ha%" an "** an& f#'! *"t!""n a## th" #itt#" *'&i"s that m'%" 'r that "-ist 'n a #an"t+ 'n th" surfa)" 'f $r'un&+ f'r "-am#"+ f'r am'n$ th" sma## *'&i"s as am'n$ th" $r"at in)'min$ an& 'ut$'in$ )urr"nts ran$in$ fr'm 'n" t' an'th"r+ an& &ra$$in$ 'r th"y $ra%itat" sma## *'&i"s sha## $' f'rth+ 'r ar" ar'a)hin$+ th" )urr"nt in)r"as" 'r &")r"as" in int"nsity+ sin)" this th"ir )'n%"r$"n)" *")'m"s th"ir m'r" 'r #"ss $r"at+ th" s"%"rity 'f sma## *'&i"s t'!ar&s th"ir arti)u#ar )"nt"r th"n *")'m"s th"n m'r" 'r #"ss n'ti)"a*#"+ a## "-istin$ h"n'm"na am'n$ #ar$" *'&i"s &""n&in$ !h' #"a%" 'r at han&+ )'min$ t'$"th"r t' r'&u)" th" sam" "ff")t 'r that &i%i&" t' r'&u)" th" sam" "ff")t 'r that th"y &i%i&" t' r'&u)" th" ''sit" "ff")ts must th"r"f'r" *" f'un& in sma## *'&i"s as in $r"at( /?9 0 Th" "** an& f#'! in #ar$" an& sma## *'&i"s ar" su*'r&inat"& 'n" t' th" 'th"r an& r")ir')a# *"t!""n th"m( 3Fi$( 9:4 A( If th" Sun a)tin$ 'n th" Sun B(+ B( th" Sun a)ts as th" S'#" A(+ "a)h *y r"as'n 'f its mass an& 'f th" &istan)"( If th" Sun a)tin$ 'n th" Sun A( B(+ it &'"s s' 'n th" ABCDE #an"ts+ an& 'n th" &&
*"in$s !h' m'%" 'n #an"t A( that B( !hi)h r"a)ts t' th" sun r"a)ts t' th" sun( A( If th" #an"t B( a)ts 'n th" #an"t A( It &'"s s' 'n *"in$s && that m'%" 'n th" #an"t an& th" #an"t A( A( an& && *"in$s !h' m'%" 'n #an"t A( r"a)t t' th" #an"t B( r"a)tin$ t' th" Sun B( !hi)h r"a)ts t' th" Sun A(+ "t)("t)( /?: 0 Th"s" f#'!s an& "**s $"n"ra#+ s")ia# an& in&i%i&ua# ar" uni%"rsa# an& r")ir')a# inf#u"n)" *"t!""n a## *"in$s( /?< 0 This inf#u"n)" &""n&in$ 'n !h"th"r it in)r"as"s 'r &")r"as"s+ 'r &")r"as"s th" r'"rti"s 'f a## *"in$s( P#"as" n't" that th" r'"rti"s 'f a## *"in$s ar" th" r"su#t 'f )'m*inati'ns 'f matt"r an& that th"s" )'m*inati'ns ar" th" r'&u)t 'f m'%"m"nt( Sti## it r"m"m*"rs that th" m'%"m"nt sr"a&s uni%"rs" thr'u$h in)'min$ an& 'ut$'in$ )urr"nts( Fina##y+ !" n't" that th" Gra%ity is th" "ff")t 'f th" in)'min$ an& 'ut$'in$ )urr"nts( Th" r''rti'ns "sta*#ish th" imm"&iat" )'ns"7u"n)" that r"su#ts+ an& Gra%ity is th" )aus" 'f a## th" r'"rti"s 'f matt"r( B")aus" 'n th" 'n" han& th" Gra%ity is th" "ff")t 'f th" in)'min$ an& 'ut$'in$ )urr"nts+ 'r t' s"a. m'r" "-a)t#y it is *ut th" a)ti'n 'f th" in)'min$ an& 'ut$'in$ )urr"nts+ an& 'n th" 'th"r art th" r'"rti"s 'f matt"r ar" th" r'&u)t 'f a m'%"m"nt that is n't &istri*ut"s it %ia in)'min$ an& 'ut$'in$ )urr"nts+ it is !"## "%i&"nt that $ra%ity is th" )aus" 'f th" r'"rti"s 'f matt"r( S' a## )han$in$ 'r m'&ifyin$ th" )aus"s 'f $ra%ity )han$"s 'r )han$"s r'"rti"s 'f matt"r( S' a## that )han$"s th" )aus"s 'f $ra%ity in m'r" in)r"as"s r'"rti"s 'f matt"r+ a## that !i## )han$" th" )aus"s 'f $ra%ity #"ss+ it &")r"as"s th" r'"rti"s 'f matt"r( S' th" &iff"r"nt f#'!s an& "**s+ &""n&in$ 'n !h"th"r th"y ar" 'f m'r" 'r #"ss+ in)r"as"s 'r &")r"as"s int"nsity th" r'"rti"s 'f matt"r+ )'h"si'n+ "#asti)ity+ $ra%ity+ fir"+ "#")tri)ity 'f *'&i"s+ %irtu" attra)ti%" 'r r"u#si%" ma$n"t( In th" f#'! r'"rti"s 'f th" mat"ria# in)r"as" in r"f#u- th"m &")r"as"( In th" f#'!+ th" )'h"si'n !hi)h ;'ins th" arts 'f a *'&y is m'r"+ in th" "**+ )'h"si'n is #"ss( Th" in)r"as" 'f th" r'"rti"s 'f matt"r+ it )a##"& Int"nti'n+ th" &")r"as" 'f th" r'"rti"s 'f matt"r+ it is )a##"& r"missi'n( Y'u ar" n't $'in$ !ith'ut r"missi'n in th" r'"rti"s 'f *'&i"s+ sin)" a## is "** an& f#'! in Natur"(
END OF TE SECOND PART
PART TREE _________ summary In this thir& art !" !i## &is)uss man( @i## t"## y'u !hi)h ar" th" rin)i#"s that )'nstitut" it+ an& h'! th"y ar" f'rm"&( '! is sustain"& an& r"airs( '! t' It a$r""s t' &"%"#' it( Th"y !i## "-'s" th" rin)i#"s that ma." th" man an& !hi)h th"y )'ntri*ut" t' its f'rmati'n( Th"y &"%"#' th" )aus"s 'f its *irth+ it !i## &"t"rmin" !hat is )a##"& th" rin)i#" 'f #if"+ y'u !i## n'ti)" h'! this rin)i#" is su*;")t t' th" a)ti'n 'f h"a%"n#y *'&i"s+ th" "arth+ an& 'f arti)u#ar *'&i"s( This su*'r&inati'n !hi)h !i## *" )a##"& Anima# Ma$n"tism+ !i## "-#ain th" !ay in !hi)h it &istri*ut"s in 'r$ans man th" rin)i#" 'f #if"( It !i## *" '*s"r%"&+ thr'u$h th" "ff")t 'f this &istri*uti'n+ th" ana#'$y 'f th" human *'&y !ith th" ma$n"t+ th" r'"rti"s !hi)h r"su#t fr'm this ana#'$y( As !"## as th" ma$n"t+ th" *'&y human has th" '#"s+ !hat is th" us" 'f th"s" '#"s( It &is)uss"s th" !ay th" man maintains an& r"airs its"#f+ it !i## say !hat is in it=s #if"+ an& !hat !hi)h is &"ath+ !hat is h"a#thy+ !hat is th" &is"as"+ su)h as thr'u$h th" a#i)ati'n 'f anima# ma$n"tism is 'ssi*#" t' "n& th" &is"as"( Y"s+ " !i## ta#. a*'ut th" !ay in !hi)h !" sh'u#& &"%"#' th" man+ an& y'u !i## "n& u &"t"rmin" th" hysi)a# rin)i#"s 'f his "&u)ati'n( /?> 0 @" ha%" hysi)a# in man as in th" r"st 'f natur"+ th" t!' rin)i#"s1 matt"r an& m'ti'n( Th" s"t 'f th" matt"r that )'nstitut"s th" man )an *" in)r"as"& 'r &")r"as"&( Th" m'%"m"nt that humans am"n&in$ matt"r )an *" in)r"as"& 'r &")r"as"&( B")aus" man is r"s"r%"&+ th" r"&u)ti'n 'f matt"r in it n""&s t' *" r")'%"r"&( Th" &")r"as" 'f th" matt"r is r")'%"r"& in humans *y th" $"n"ra# sum 'f matt"r fr'm th" &i"t( Th" &")r"as" 'f m'%"m"nt is r")'%"r"& in humans *y th" $"n"ra# am'unt 'f m'%"m"nt *y m"ans 'f th" s#""( //? 0 In th" stat" 'f s#""+ th" man a)ts as a ma)hin" in !hi)h th" rin)i#"s 'f m'%"m"nt ar" int"rna#+ th"n+ th" "-"r)is" an& th" fun)ti'ns 'f a )'nsi&"ra*#" art 'f his *"in$ is sus"n&"& f'r a tim"( Durin$ this tim" int"r%a#+ th" am'unt 'f m'%"m"nt that man has #'st &urin$ !a."fu#n"ss is r")'%"r"& *y th" "ff")t 'f th" )urr"nt Uni%"rsa#+ th" )urr"nt s"%"rity 'f th" atta).s 'n th" $r'un& 'r that it &'"s $ra%itat" t'!ar&s th" "arth an& th" ma$n"ti) )urr"nt that ran$"s fr'm a '#" 'f #an& t' an'th"r( In th" stat" 'f s#""+ th" man )'##")ts an& *un&#"s fr'm th" )r'!& 'f uni%"rsa# )urr"nts+ a )"rtain am'unt 'f m'%"m"nt+ as in a r"s"r%", !h"n th" r"s"r%" is fu## !a."s u+ s' th" fu##n"ss 'f th" r"s"r%" &"t"rmin"s th" %i$i#(
/// 0 Th" "-ist"n)" 'f man *"$ins in s#""( Th" m'%in$ 'rti'n r")"i%in$ r''rti'na# t' its mass is "m#'y"& "ntir"#y t' a## trainin$ an& &"%"#'m"nt 'f its 'r$ans( T' th" "-t"nt that its r"s"r%"s ar" fu##+ y'u s""+ th"n this trainin$ an& this &"%"#'m"nt( If a## 'f human f'rmati'n is a))'m#ish"& thin$s )han$", a 'rti'n 'f th" m'%"m"nt *")'m"s us"#"ss( Thr'u$h th" "ff")t 'f this su"ra*un&an)" 'f m'%"m"nt h" !a."s u an& ma."s th" "ff'rts 'f his m'th"r str'n$ "n'u$h f'r sh" ut it in th" #i$ht+ s' y'u !'r. th" h"n'm"n'n *irth( //2 0 Th" uni%"rsa# m'%"m"nt 'rti'n that man r")"i%"s his 'ri$in is )han$"& in th" !'r#& !h"r" it is a##'!"&, an& )han$"s *")'min$ t'n"&+ that is1 as y'u s""+ it ta."s a m'ti'n t'n" "s")ia##y that h" ha& n't *"f'r"( B")'m" t'n"& this 'rti'n 'f m'%"m"nt &"t"rmin"s in a arti)u#ar !ay th" f'rmati'n an& &"%"#'m"nt th" human $ut( Th" human int"stin"s ar" th" )'nstitu"nt arts 'r$ani) r"arin$ an& assimi#at" a## 'f 'ur m''&s+ an& a#s' &"t"rmin" th" th"ir m'%"m"nt *y ma.in$ th" s")r"ti'ns an& "-)r"ti'ns( Th" uni%"rsa# m'%"m"nt 'rti'n that *")'m"s t'n"& man t' th" tim" 'f its f'rmati'n is th" rin)i#" 'f #if"( Th" rin)i#" h'#&s an& $rin&in$ th" *'!"# fun)ti'ns( Th" rin)i#" is a art 'f th" uni%"rsa# f#ui& !hi)h n")"ssari#y '*"ys )'mm'n #a!s f'##'!in$ th" !hi)h m'%"s th" uni%"rsa# f#ui&( " is th"r"f'r" su*;")t t' a## th" imr"ssi'ns 'f th" h"a%"n#y *'&i"s+ th" "arth an& 'f arti)u#ar *'&i"s mu)h #i." th" arm 'f a ri%"r '*"ys a## imr"ssi'ns+ a## th" m'%"m"nts 'f th" ri%"r t' !hi)h it *"#'n$s( Th"r"=s fa)u#ty that man ma."s it sus)"ti*#" t' r")"i%" th" imr"ssi'ns th" inf#u"n)" 'f th" h"a%"n#y *'&i"s+ th" "arth an& 'f arti)u#ar *'&i"s is !hat !" )a## Anima# Ma$n"tism( //5 0 Man is "n"trat"& *y a## arti"s thr'u$h th" &iff"r"nt )urr"nts uni%"rsa# t' !hi)h '*"ys+ thr'u$h th" uni%"rsa# )urr"nts 'f $ra%ity+ an& th" ma$n"ti) f#ui& an& *y m"ans 'f th" arti)u#ar )urr"nts that thr'! at him fr'm a## th" *'&i"s that surr'un& it( Th" uni%"rsa# an& arti)u#ar )urr"nts ar" m'&ifi"& &iff"r"nt#y in humans &""n&in$ 'n th" natur" 'f th" int"rsti)"s )r'ssin$, nam"#y a)7uir" &iff"r"nt sha&"s 'f m'%"m"nt f'##'!in$ th" &iff"r"nt 'r$aniati'ns in !hi)h th" )'nstitu"nt arts ar" "n)#'s"&( Th" f#ui& !hi)h )'nstitut"s th" )urr"nt f'##'!s th" )'ntinuity 'f human *'&i"s unti# a*'ut arti"s th" m'st "min"nt 'r its "n&s( In th"s" "-tr"miti"s )urr"nts )'m" 'ut an& fa##( In th"s" "n&s th" )urr"nts a)7uir" a $r"at s""& *")aus" th"y ar" s' t' s"a. r"stri)t"& in a 'int an& it is .n'!n that a )urr"nt is r"stri)t"& m'r" an& m'r" *")'m"s 7ui).( A## *'&i"s !h's" sha" ta"rs t' a 'int 'r )'rn"r is in its r")"i%" th" )urr"nt t'ni) an& *")'m" )'n&u)ti%"( Th"y #''."& at th" )urr"nt )'n&u)t'rs t'ni) #i." )hann"#s Th"y ar" us"& f'r th"ir intr'&u)ti'n 'r th"ir "s)a"( Th"y ar" )a##"& 'sts+ 'f intr'&u)ti'n 'ints 'r #"a.a$" )urr"nt &u" t'ni) th" ana#'$y 'f th"s" 'ints
!ith th" 'ints )a##"& '#"s in th" ma$n"t( //6 0 Th" '#"s in th" human *'&y+ th"y )'mmuni)at"+ th"y &"str'y+ r'a$at"+ r"inf'r)in$ as in th" ma$n"t( Th" '#"s in th" human *'&y )'mmuni)at"+ if in th"m th"r" is a *'&y )aa*#" 'f r")"i%in$ th" 'ut$'in$ )urr"nts an& r"turn th"m( Th" '#"s in th" human *'&y ar" &"str'y"&+ if a r")"i%"r '#" human *'&y ''s"s an'th"r r")"i%in$ '#" 'f an'th"r *'&y+ 'r ''s"s a &'n'r t' a &'n'r )"nt"r '#"( Th" '#"s in th" human *'&y ar" r'a$at"& 'r m'r" "-a)t#y th" t'ni) )urr"nts that aris" fr'm th" '#"s 'f th" human *'&y ar" r'a$at"& in thr"" !ays( Thr'u$h th" )'ntinuity 'f f#ui&s su)h as air+ !at"r+ #i$ht+ 's)i##ati'ns 'f th" s'un&( Thr'u$h th" )'ntinuity 'f th" s'#i&s+ i" *y m"ans 'f th" )'ntinuity 'f th" *'&i"s har& 'r$ani"& s' that th"y *")'m" r'"r t' r")"i%" th" f#ui& that ris"s fr'm th" human *'&y an& h" r"turns it( Thr'u$h r"f#")ti'n, )urr"nt t'ni) )an *" r"f#")t"& *y m"ans 'f th" mirr'rs an& a## shiny surfa)"s+ in th" sam" !ay #i$ht( Th" '#"s in th" human *'&y is a#!ays r"inf'r)"+ i" th" t'ni) )urr"nts that aris" fr'm th" '#"s 'f th" human *'&y ar" str"n$th"n"& in fi%" !ays( Thr'u$h a## th" )aus"s 'f a )'mm'n m'%"m"nt+ th"s" ar" th" m'%"m"nts int"stin" an& )aus"s th" s'un&+ th" n'is"+ th" !in&+ th" "#")tri)a# fri)ti'n( Thr'u$h th" *'&i"s that as th" ma$n"t ar" a#r"a&y "7ui"& !ith a m'%"m"nt an& &"t"rmin"& thr'u$h th" animat"& *'&i"s that ha%" th"ir m'%"m"nt '!n an& &"t"rmin"&( Thr'u$h th"ir )'mmuni)ati'n !ith th" har& *'&i"s !h"r" th"y )an *" a))umu#at"&+ an& )'n)"ntrat"& as in a r"s"r%'ir f'r #at"r &istri*ut"& at !i## in a## &ir")ti'ns( Thr'u$h th" mu#ti#i)ati'n 'f *'&i"s !ith !hi)h th"y )'mmuni)at"+ th" rin)i#" 'f anima# ma$n"tism is n't a su*stan)" *ut a m'&ifi)ati'n( Its "ff")t in)r"as"s as that 'f fir" *")aus" 'f its )'mmuni)ati'n( Thr'u$h th"ir )'nt"st !ith th" ma$n"ti) )urr"nts 'f th" !'r#&( Th" ma$n"ti) )urr"nts in th" !'r#& ha%" &"t"rmin"& a)ti'n+ r"inf'r)" a## th" arti)u#ar )urr"nts that "nt"r th" human *'&y an& that )'m" 'ut+ if th"y ar" t' )'m"t" !ith th"m( //8 0 Th" )urr"nts !hi)h ass thr'u$h th" int"rsti)"s 'f th" human *'&y 'r its )'nstitu"nt 'r$ani) arts a)7uir" a m'ti'n maintainin$ t'n"( This m'%"m"nt t'n" an& )'mmuni)atin$+ sr"a&in$ !ith this t'n" 'f m'%"m"nt *y r"as'n 'f th" s"7u"n)" 'r 'f th" )'ntinuity 'f th" *'&i"s that th"y aris"+ as th" air aft"r assin$ thr'u$h a f#ut" tu*" maintains its s'un& 7ua#ity *y r"as'n 'f th" m"ans !hi)h )r'ss"s 'r surfa)"s that r"f#")t it(
//9 0 As in th" ma$n"t+ a '#" )an n't "-ist in th" human *'&y+ !ith'ut th" ''sit" '#" is n't "sta*#ish"&( Th"r" )an *" n' r")"i%in$ '#" !ith'ut th" &'n'r )"nt"r( //: 0 As in th" ma$n"t an& f'r th" sam" r"as'n+ in th" human *'&y *"t!""n t!' '#" &ata y'u ha%" an "7uat'r+ i" a 'int !h"r" n' ma$n"ti) "ff")t is r'&u)t( //< 0 It has *""n sai& that man=s #if" is a 'rti'n 'f th" uni%"rsa# m'%"m"nt m"ans that its intr'&u)ti'n int' th" human 'r$ani) !'r#& *")'m"s t'ni)( Man=s #if" thus *"$ins thr'u$h m'%"m"nt an& thus "n&s thr'u$h th" 7ui"t( Th" "ntir" a*'#iti'n 'f th" t'ni) m'%"m"nt is &"ath( //> 0 In th" sam" !ay that natur" is th" s'ur)" 'f th" m'%"m"nt )'m*inati'ns an& th" 7ui"t 'f th" matt"r+ in th" sam" !ay as in humans th" rin)i#" 'f #if" *")'m"s th" )aus" 'f &"ath( Th" f'rmati'n an& &"%"#'m"nt 'f th" 'r$ani) *'&y &""n&s 'n th" r"#ati'ns &iff"r"nt an& su))"ssi%" *"t!""n matt"r an& 7ui"t( Th" am'unt 'f m'%"m"nt an& 'f 7ui"t *"in$ &"t"rmin"& th" num*"r 'f 'ssi*#" r"#ati'nshis *"t!""n th" 'n" an& th" 'th"r is thus &"t"rmin"&( Th" &istan)" *"t!""n t!' !'r&s 'r &ata 'ints )an *" r"$ar&"& as r"r"s"ntati%" #if"san( 3Fi$( 9<4
On" 'f th"s" t"rms 'r 'ints is th" m'%"m"nt+ th" 'th"r 7ui"t( Th" n"-t r'$r"ssi'n 'f th" 'n" an& th" &iff"r"nt r''rti'ns )'nstitut"s th" $"ar an& th" r"%'#uti'n 'f #if"( Startin$ fr'm m'%"m"nt t'!ar&s th" "a)" y'u $"t t' th" 'int 'f th"ir *a#an)" that is as)"nsi'n 'f #if"( Past this 'int+ it *"$ins t' &i"( @h"r" th" r"'rt !hi)h ma."s th" r'$r"ssi'n 'f &iff"r"nt m'&ifi)ati'ns *"t!""n m'%"m"nt an& sti##n"ss it is a#!ays th" sam" in !hi)h %ari"s( In th" first )as" th" man tra%"#s th" r'$r"ssi'n 'f #if"+ !ith'ut that 'r&"r 'f r''rti'n that )'m's"s *'th &istur*"&+ an& th"n+ h" "-ists in a "rf")t stat" 'f h"a#th an& )'m"s t' an "n& !ith'ut th" &is"as"( In th" s")'n& )as"+ th" 'r&"r 'f th" r''rti'ns that ma."s u th" r'$r"ssi'n
'f #if" is &istur*"& !ith this &is'r&"r an& th" &is"as" *"$ins( Th"r" &is"as" is th"r"f'r" n't 'th"r thin$ that a &isruti'n in th" r'$r"ssi'n m'%"m"nt an& #if"( /2? 0 This &istur*an)" may *" )'nsi&"r"& as "-istin$ in th" s'#i& 'r in th" f#ui&( If it "-ists in s'#i&+ it &istur*s th" harm'ny 'f r'"rti"s 'f 'r$ani) arts an& &")r"as"s an& in)r"as"s "a)h 'th"r( If it "-ists in th" f#ui&+ it &istur*s th"ir #')a# m'%"m"nt an& int"stin"s( Th" a*"rrati'n 'f m'%"m"nt in s'#i&s a#t"rs th"ir r'"rti"s &istur* th" *'!"# fun)ti'ns an& &iff"r"nt r')"ssin$ that must &'( Th" a*"rrati'n 'f th" m'%"m"nt 'f th" int"stin"s+ m''&s r'&u)"s th"ir &"$"n"rati'n( A*"rrati'n 'f th" #')a# m'%"m"nt r'&u)"s th" '*stru)ti'n 'r f"%"r+ '*stru)ti'n is r'&u)"& *y th" s#'!&'!n 'r th" a*'#iti'n 'f th" m'%"m"nt( Th" f"%"r is r'&u)"& *y its a))"#"rati'n( Th"r" "rf")ti'n 'f s'#i& 'r *'!"# )'nsists in th" harm'ny 'f a## r'"rty an& in th" harm'ny 'f th"ir &uti"s r"su#tin$ fr'm th" harm'ny 'f th"ir r'"rty( Th" 7ua#ity 'f th" f#ui&s an& th"ir int"rna# an& #')a# m'%"m"nt ar" th" r"su#t 'f th" *'!"# fun)ti'ns( T' a)hi"%" r""sta*#ish th" $"n"ra# harm'ny 'f th" *'&y is n't ma&"+ th"n+ that r")tify fun)ti'ns *'!"#+ *")aus" 'n)" a&;ust"& fun)ti'ns+ th"y must *" th's" !h' assimi#at" a## that it )an *" assimi#at"&( Th" "ff'rt 'f natur" 'r *'!"# 'n m''&s is )a##"& )risis( N' &is"as" )an *" h"a#"& !ith'ut a )risis( In "%"ry )risis th"r" ar" thr"" stat"s+ &isruti'n+ th" )'n)')ti'n+ th" "%a)uati'n( /2/ 0 Th" &is"as" is th" $"n"ra# harm'ny a*"rrati'n 'f th" human *'&y( This a*"rrati'n )an *" m'r" 'r #"ss n'ti)"a*#" an& r'&u)" th" m'r" 'r #"ss s"nsiti%" "ff")ts( Th"s" "ff")ts ar" )a##"& symt'ms( If th"s" "ff")ts ar" r'&u)"& *y th" )aus" 'f th" &is"as"+ )a## symt'mati) symt'ms( If+ h'!"%"r+ th"s" "ff")ts ar" 'f th" natur" 'f "ff'rts a$ainst #a!suits 'f th" &is"as" an& that it t"n&s t' &"str'y+ th"y ar" )a##"& )riti)a# symt'ms( It=s "-tr"m"#y im'rtant in ra)ti)" t' &istin$uish r'"r#y *"t!""n th"s" t!' $"nr"s 'f symt'ms t' r"%"nt 'r arr"st th" 'n"s an& 'f fa%'rin$ th" 'th"r( /22 0 S' a## )aus"s 'f &istur*in$ &is"as"s an& m'r" 'r &"naturin$ un#"ss th" n")"ssary r''rti'ns *"t!""n matt"r an& *'!"# m'%"m"nt r'&u)" th"ms"#%"s thr'u$h th"ir %ari'us a#i)ati'ns 'r r"missi'n m'r" 'r #"ss &istin)t &isruti'n in th" r'"rti"s 'f matt"r an& 'r$ans( T' r"m"&y th" "ff")ts 'f r"missi'n an& th" &isruti'n an& &"str'y it thus )aus"s th" int"nti'n+ i" in)r"as" irrita*i#ity+ th" "#asti)ity+ th" f#ui&ity an& m'%"m"nt( It in)r"as"s th" irrita*i#ity 'f humans r'"rti"s *y a#yin$ Anima# ma$n"tism+ it in)r"as"s an& arti)u#ari"& 'n him th" inf#u"n)" 'f th" *'&i"s !ith !hi)h it )'rr"s'n&s(
