TheTheTheTheTheThe bookbookbookbookbookbook ofofofofofof EuclidEuclidEuclidEuclidEuclidEuclid onononononon thethethethethethe heavyheavyheavyheavyheavyheavy andandandandandand thethethethethethe lightlightlightlightlightlight andandandandandand onononononon thethethethethethe comparisoncomparisoncomparisoncomparisoncomparisoncomparison ofofofofofof bodiesbodiesbodiesbodiesbodiesbodies totototototo oneoneoneoneoneone anotheranotheranotheranotheranotheranother
111111. BodiesBodiesBodiesBodiesBodiesBodies areareareareareare equalequalequalequalequalequal inininininin sizesizesizesizesizesize thatthatthatthatthatthat fillfillfillfillfillfill equalequalequalequalequalequal placesplacesplacesplacesplacesplaces.
222222. AndAndAndAndAndAnd whichwhichwhichwhichwhichwhich fillfillfillfillfillfill unequalunequalunequalunequalunequalunequal placesplacesplacesplacesplacesplaces areareareareareare saidsaidsaidsaidsaidsaid totototototo bebebebebebe differentdifferentdifferentdifferentdifferentdifferent inininininin sizesizesizesizesizesize.
333333. AndAndAndAndAndAnd whatwhatwhatwhatwhatwhat areareareareareare saidsaidsaidsaidsaidsaid totototototo bebebebebebe greatgreatgreatgreatgreatgreat amongamongamongamongamongamong bodiesbodiesbodiesbodiesbodiesbodies, areareareareareare saidsaidsaidsaidsaidsaid totototototo bebebebebebe ampleampleampleampleampleample amongamongamongamongamongamong placesplacesplacesplacesplacesplaces.
444444. BodiesBodiesBodiesBodiesBodiesBodies areareareareareare equalequalequalequalequalequal inininininin forceforceforceforceforceforce whosewhosewhosewhosewhosewhose motionsmotionsmotionsmotionsmotionsmotions inininininin equalequalequalequalequalequal timestimestimestimestimestimes areareareareareare throughthroughthroughthroughthroughthrough equalequalequalequalequalequal placesplacesplacesplacesplacesplaces inininininin thethethethethethe samesamesamesamesamesame airairairairairair orororororor inininininin thethethethethethe samesamesamesamesamesame waterwaterwaterwaterwaterwater.
555555. AndAndAndAndAndAnd thosethosethosethosethosethose thatthatthatthatthatthat traversetraversetraversetraversetraversetraverse equalequalequalequalequalequal placesplacesplacesplacesplacesplaces inininininin differentdifferentdifferentdifferentdifferentdifferent timestimestimestimestimestimes areareareareareare saidsaidsaidsaidsaidsaid totototototo bebebebebebe differentdifferentdifferentdifferentdifferentdifferent inininininin fortitudefortitudefortitudefortitudefortitudefortitude.
666666. AndAndAndAndAndAnd whatwhatwhatwhatwhatwhat isisisisisis thethethethethethe largerlargerlargerlargerlargerlarger inininininin forceforceforceforceforceforce isisisisisis thethethethethethe smallersmallersmallersmallersmallersmaller inininininin timetimetimetimetimetime.
777777. BodiesBodiesBodiesBodiesBodiesBodies areareareareareare ofofofofofof thethethethethethe samesamesamesamesamesame kindkindkindkindkindkind ofofofofofof whichwhichwhichwhichwhichwhich inininininin equalsequalsequalsequalsequalsequals thethethethethethe forceforceforceforceforceforce isisisisisis equalequalequalequalequalequal.
888888. IfIfIfIfIfIf bodiesbodiesbodiesbodiesbodiesbodies equalequalequalequalequalequal inininininin magnitudemagnitudemagnitudemagnitudemagnitudemagnitude areareareareareare differentdifferentdifferentdifferentdifferentdifferent inininininin forceforceforceforceforceforce inininininin respectrespectrespectrespectrespectrespect totototototo thethethethethethe samesamesamesamesamesame waterwaterwaterwaterwaterwater orororororor airairairairairair, theytheytheytheytheythey areareareareareare differentdifferentdifferentdifferentdifferentdifferent inininininin kindkindkindkindkindkind.
999999. AndAndAndAndAndAnd thethethethethethe moremoremoremoremoremore solidsolidsolidsolidsolidsolid [densedensedensedensedensedense] isisisisisis thethethethethethe strongerstrongerstrongerstrongerstrongerstronger.
111111. OfOfOfOfOfOf bodiesbodiesbodiesbodiesbodiesbodies thatthatthatthatthatthat passpasspasspasspasspass throughthroughthroughthroughthroughthrough unequalunequalunequalunequalunequalunequal placesplacesplacesplacesplacesplaces inininininin equalequalequalequalequalequal timestimestimestimestimestimes, thatthatthatthatthatthat whichwhichwhichwhichwhichwhich passespassespassespassespassespasses throughthroughthroughthroughthroughthrough thethethethethethe largerlargerlargerlargerlargerlarger placeplaceplaceplaceplaceplace isisisisisis ofofofofofof largerlargerlargerlargerlargerlarger forceforceforceforceforceforce.
222222. IfIfIfIfIfIf ofofofofofof twotwotwotwotwotwo bodiesbodiesbodiesbodiesbodiesbodies ofofofofofof thethethethethethe samesamesamesamesamesame kindkindkindkindkindkind oneoneoneoneoneone isisisisisis thethethethethethe multiplemultiplemultiplemultiplemultiplemultiple ofofofofofof thethethethethethe otherotherotherotherotherother, thenthenthenthenthenthen itsitsitsitsitsits forceforceforceforceforceforce willwillwillwillwillwill bebebebebebe similarlysimilarlysimilarlysimilarlysimilarlysimilarly inininininin respectrespectrespectrespectrespectrespect totototototo thethethethethethe forceforceforceforceforceforce ofofofofofof thethethethethethe otherotherotherotherotherother.
333333. OfOfOfOfOfOf bodiesbodiesbodiesbodiesbodiesbodies ofofofofofof thethethethethethe samesamesamesamesamesame kindkindkindkindkindkind theretheretheretheretherethere isisisisisis oneoneoneoneoneone proportionproportionproportionproportionproportionproportion inininininin sizesizesizesizesizesize andandandandandand powerpowerpowerpowerpowerpower.
444444. BodiesBodiesBodiesBodiesBodiesBodies ofofofofofof whichwhichwhichwhichwhichwhich eacheacheacheacheacheach isisisisisis equipollentequipollentequipollentequipollentequipollentequipollent inininininin kindkindkindkindkindkind totototototo oneoneoneoneoneone, areareareareareare ofofofofofof thethethethethethe samesamesamesamesamesame kindkindkindkindkindkind.
555555. WhenWhenWhenWhenWhenWhen theretheretheretheretherethere isisisisisis oneoneoneoneoneone proportionproportionproportionproportionproportionproportion inininininin thethethethethethe sizesizesizesizesizesize andandandandandand forceforceforceforceforceforce ofofofofofof bodiesbodiesbodiesbodiesbodiesbodies, theytheytheytheytheythey areareareareareare ofofofofofof thethethethethethe samesamesamesamesamesame kindkindkindkindkindkind.