Ceva, Giovanni, Geometria motus, 1692

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              ſiue tempora erunt in duplicata ratione temporum iſto­
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              rum, vel illorum motuum. </s>
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              <s id="s.000686">Amplitudines imaginum ſimplicium, velocitatumque
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              BAC, KFG ſunto BC, KG, quæ æquales ſint. </s>
              <s id="s.000687">Dico ſpa­
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              tia acceleratorum motuum ab illis ſimplicibus imaginibus
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              fore in duplicata ratione temporum AC ad FG (quę ſem­
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              per in acceleratis ponuntur eadem, ac in ſimplicibus, nec
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              aliter eſſe poſſunt.) Vt FG ad GK, ita ſit AC ad CL, &
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              intelligatur LAC imago alterius motus ſimilis motui, cuius
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              imago BAC, vel KFG. </s>
              <s id="s.000688">Facilè demonſtrabitur ipſam fi­
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              guram LAC ſimilem eſſe ipſi KFG, & ad BAC eandem̨
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              habere rationem, quam LC ad BC. </s>
              <s id="s.000689">Cum ergo imago BAC
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              ad imaginem KFG componatur ex ratione imaginis BAC
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              ad LAC (quæ ſunt vt BC ad CL) & ex ratione imagi­
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              nis ALC ad imaginem KFG, quæ ſunt in ratione compo­
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              ſita LC ad KG, et AC ad FG: priores verò duæ rationes
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              componunt vnicam æqualitatis, ergo relinquitur, imagi­
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              nem BAC ad imaginem KFG eſſe vt AC ad FG; ſpatium
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              verò accelerati motus ex ſimplici imagine BAC ad accele­
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              ratum ex ſimplici KFG nectitur ex ratione imaginum ſim­
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              plicium ipſarum, & ex ea diſtantiarum DE, HI à centris
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              grauitatum deductarum D, H, et ſunt hæ rectæ in eadem
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              ratione, ac altitudines AC, FG (nam in figuris, ſeu imagi­
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              nibus ſimilium motuum BAC, LAC centra grauitatum
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              ſunt in eadem recta parallela ipſi BC, & in LAC, KFG
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              ſunt in punctis ſimiliter poſitis, adeo ut, ſicut poſitum eſt,
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              ratio ipſarum diſtantiarum in ipſis figuris LAC, KFG, ſeu
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              BAC, KEG eadem ſit, ac laterum homologorum LC ad
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              KG, vel AC ad FG) ergo ſpatium accelerati motus ex ſim­
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              plici imagine KFG, erit vt quadratum ex AC ad quadra­
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              tum ex FG, nempe in duplicata ratione temporum ſimpli­
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              cium motuum. </s>
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