Ceva, Giovanni
,
Geometria motus
,
1692
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16.
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huius.
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4.
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huius,
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16.
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huius.
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Def.
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.3.
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primi
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huius.
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& Def.
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1.
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hu
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ius vnà cum
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pr.
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4.
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huius.
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PROP. XXII. THEOR. XVIII.
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<
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">SInt nunc CE, HL communes ſectiones imaginum ſim
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plicium ABC, GLH, ſi extenderentur cum ſujs æqua
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libus, ac ſimilibus coeuntibus figuris. </
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<
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">Eſto pariter M cen
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trum grauitatis imaginis ABC, et N grauitatis alterius ima
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ginis GLH; actis demùm MO, NP perpendicularibus ad
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ipſas CE, HL. Dico, ſpatium accelerati motus ab imagine
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ſimplici ABC ad
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ſpatiũ
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accelerati alterius motus ab ima
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gine ſimplici GLH componi ex ratione imaginis ABC ad
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imaginem GLH, & ex ea perpendicularis MO ad perpen
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dicularem NP. </
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da à figuris ABC, GLH; hæc verò ſunt vt momenta ipſa
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rum figurarum ſuſpenſarum ex MO, NP. </
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modum momenta iſta nectuntur ex rationibus figurarum
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tanquam magnitudinum ABC ad LGH, & diſtantiarum
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MO ad NP, ita pariter ex his nectentur propoſita ſpatia. </
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Tab.
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7.
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Fig.
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2.</
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21.
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huius.
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20.
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huius.
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Ex mechani
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cis.
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Corollarium.
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Patet communes ſectiones CE, HL eſſe æquidiſtantes ap
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plicatis AB, HL, quæ in imaginibus ſumuntur perpendicula
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res rectis AC, GH. nam HL est recta, in quam coeunt figura
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planæ ſimiles, ac æquales.
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Pr
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2.
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primą
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huius.
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PROP. XXIV. THEOR. XIX.
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<
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">SI imagines ſimplicium motuum fuerint ſimiles, ſimili
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terque ſuſpenſæ, imagines velocitatum accelerato
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rum motuum erunt in triplicata ratione temporum ſimpli
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cium motuum, aut in triplicata homologarum, vel extre
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marum velocitatum eorundem ſimplicium motuum. </
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