Ceva, Giovanni
,
Geometria motus
,
1692
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PROP. IX. THEOR. VII.
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<
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">TAngens, ſeu directio motus in quocunque curuæ
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puncto eſt illa recta, quæ vtrinque ſtatim cadens
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extra curuæ conuexum ad eandem, quàm fieri poteſt ex
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vtraque parte accedit. </
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">Nam alia quæque recta tranſiens per punctum conta
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ctus ad ſectionem magis accedere nequit, quin ipſam illinc
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ſecet, ob id extra conuexum eius non cadet, ab altera ve
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rò parte magis à propoſita curua ſeparabitur, quamobrem
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nulla alia recta, quàm tangens poterit ſimul extra curuam
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eſſe, & quàm fieri poteſt ad ipſam accedere. </
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DEF. IV.
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">LIneæ AC, AD occurrant ſibi in A, quod punctum in
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telligatur transferri ab A in C vnà cum linea AD
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ſemper ſibi parallela, quo tempore punctum A currat ip
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ſam latam lineam ex A in D. </
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">Manifeſtum eſt idipſum
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punctum A deſcripturum eſſe motu compoſito lineam
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quandam AB diagonalem ſuperficiei parallelogrammæ
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ABCD. </
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poſiti motus, & AC, AD latera illius. </
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Tab.
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4.
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fig.
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6.</
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Corollarium I.
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Manifeſtum eſt mobile dum currit AB tranſire etiam AC,
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AD, licèt curuæ ſint, nam verè transfertur illo tempore, tam
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ad lineam CB quam ad DB.
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Corollarium II.
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Præterea ſi ducerentur, autſint AC, CB, DA, DB, AB
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