Ceva, Giovanni
,
Geometria motus
,
1692
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39
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dem ABAE; hoc æquiualebit tribus AB, AC, AD. </
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<
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bile igitur ex affectione trium illorum conatuum, vt ſup
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poſitum fuit, nitetur ſecundùm AF velocitate ipſa AF
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Quod &c. </
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Gal. </
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tu aquab.
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DEF. I.
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">ACcelerationem alicuius motus, tunc intelligimus,
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cũ
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velocitates, quæ ſubinde mobili adueniunt, non de
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lentur, ſed prorſus integræ, atque indelebiles mobili in ipſo
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motu perſeuerant. </
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ci, cum præteritæ velocitates protinus euaneſcunt, illæ
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que tantum conſiderantur, quæ mobili ſubinde oriun
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tur. </
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PROP. IV. PROB. II.
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exhibere. </
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">Imago velocitatum ſimplicis motus eſto rectangulum
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AFDC: ſic motus eſt æquabilis, vt acceleretur debent in
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ſtanti C vigere omnes velocitates in imagine AFDC
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cõ-prehenſæ
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prehenſæ</
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, & item ducta quacunque BE parallela AF, vel
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CD, erit mobile momento B affectum omnibus antece
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dentibus velocitatibus, comprehenſis nempe ab imaginis
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portione AFEB; quare ſi ponamus HLG imaginem eſſę
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accelerationis, itaut nempe tempus GL æquale ſit tempo
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ri AC; item KL æquale tempori AB, erit vt figura CAFD
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ad figuram BAFE, ſic velocitas, qua mobile fertur
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momẽ-to
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to</
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G ad velocitatem, quam habet inſtanti K; & ideo quia
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ponitur imago ſimplicis motus rectangulum AFDC, erit
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rectangulum CF ad BF, hoc eſt recta CA ad AB immò
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LG ad LK, vt GH ad KI; quamobrem GLH imago velo
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citatum huiuſmodi motus, erit triangulum. </
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