Ceva, Giovanni
,
Geometria motus
,
1692
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velocitatum. </
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">Ex eadem ratione patet eſſe velocitates ſum
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mas, vel homologas vti diximus in ratione compoſita dicto
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rum ſpatiorum, & ipſorum temporum.
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Corollarium III.
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Quare ſi alteræ de dua
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bus componentibus æqualis fuerit,
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reliqua tantùm computanda erit.
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Scholium.
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Hinc emergit omnis ferè doctrina grauium cum
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prorſus libera, aut ſuper planis inclinatis ad horizontem̨:
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nec accidit veritates iam patefactas huc rurſus lectoris taedio
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afferre, ſed libeat potius, rationem metiendarum imaginum,
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quamuis longitudine immenſarum, noſtra methodo exponere.
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DEF. VIII.
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Tab.
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2.
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Fig.
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6.</
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">SInt inter binas parallelas AB, GH, et IK, PQ planæ fi
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guræ ABHG, IKQP, & in altera earum ducta altitudi
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ne RV, ſint inter ſe ipſæ figuræ talis naturæ, vt cum ſit
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GABH ad ſegmentum EABF factum per æquidiſtantem
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ipſi GH ſicut VR ad RT, verificetur ſemper (ducta æqui
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diſtanti NTO ipſi PQ) eſſe GH ad EF vt reciprocè NO ad
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PQ tunc huiuſmodi figuras vocabimus inter ſe auuerſas. </
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Corollarium.
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Sequitur ex vi nunc allatæ deffin., lineam IK tunc eſſe in
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finitam, cum AB fuerit punctum, & ideo ſimul conſtat figu
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ram IPQK immenſam eſſe longitudine versùs K aut I, aut
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vtrinque, ſi nempe producerentur nunquam coituræ lineæ
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QP, IK.
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