Ceva, Giovanni
,
Geometria motus
,
1692
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rarum, ſint puncta in ijſdem figuris ſimiliter poſita, ponun
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tur verò imagines ſimiliter ſuſpenſæ, ergo ſequitur ipſas
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longitudines eſſe vt latera homologa dictarum imaginum,
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ſcilicet vt tempus AC ad tempus FG, vel vt extremæ ve
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locitates BC ad KE. </
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in duplicata ratione laterum homologorum, ſi huic dupli
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catæ addatur alia ratio ſimilis rationi longitudinum, fiet
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ratio imaginum velocitatum, ſeu ſpatiorum acceleratorum
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motuum ex ſimplicibus illis deriuantium triplicata tempo
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rum, vel extremarum velocitatum ſimplicium motuum. </
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Tab.
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7.
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Fig.
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3.</
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PROP. XXV. THEOR. XX.
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">SI verò ſimplices motus extiterint ſimiles,
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temporibus abſoluantur, imagines acceleratorum
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motuum erunt in ſola ratione amplitudinum imaginum
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ſimplicium. </
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Tab.
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7.
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fig.
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4.</
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">Sint imagines ſimilium, ac ſimplicium motuum BAC,
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KFG, quarum grauitatis centra D, H, erunt ex hypotheſi
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tempora AC, FG æqualia; & ideo ſpatia, ſcilicet imagines
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velocitatum BAC, KFG habebunt eandem rationem,
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quam ſummæ, aut extremæ motuum ſimplicium velocita
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tes, ſcilicet, quam amplitudines imaginum, ſeu geneſum:
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ſunt verò diſtantiæ DE, HI pariter æquales, quia AC, FG
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æquales ſunt; ergo cum ſpatia acceleratorum motuum ne
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ctantur ex imaginibus ſimplicium motuum ABC, KFG, &
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ex diſtantijs DE ad HI, liquet ipſa ſpatia eſſe in vnica, ſo
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laque ratione amplitudinum BC, KG, aut amplitudinum
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geneſum. </
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8
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primi huius
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2
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primi huius
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23.
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huius.
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PROP. XXVI. THEOR. XX.
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<
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nes æquè amplæ, imagines acceleratorum motuum, </
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