Ceva, Giovanni, Geometria motus, 1692

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              PROP. XVII. THEOR. XIII.
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              <s id="s.000602">IIſdem manentibus. </s>
              <s id="s.000603">Dico triangula ACB, LHM eſſę
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              ſimilia. </s>
              <s id="s.000604">Sunt enim parallelæ &c. </s>
              <s id="s.000605">interſe tam rectæ CB,
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              ML, quàm CA, MH; ideo anguli ACB, HML interſe
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              æquabuntur, & ſunt circa eos proportionalia latera, nem.
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              </s>
              <s id="s.000606">pe BC ad CA, vt LM, MH; ergo conſtat propoſitum. </s>
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              Corollarium.
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              Simul conſtat rectas AB, LH interſe æquidiſtare.
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              PROP. XVIII. THEOR. XIV.
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              <s id="s.000610">IIſdem vt ſupra manentibus, ita tamen vt ACD ſit an­
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              gulus rectus (ſic enim DC perpendicularis erit duabus
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              AC, CB) Dico ſolidum huiuſmodi ad priſma, cuius baſis
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              ABC, & altitudo CD eandem habere rationem, quam ſo­
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              lidum rotundum ortum ex rotatione figuræ CAD circą
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              axem CD ad cylindrum genitum ex conuerſione rectan­
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              guli AC in CD circa eundem axem.
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              Tab.
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              6.
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              Fig.
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              8.</s>
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              <s id="s.000612">Compleatur ipſum priſma, & ſit quidem AQDPBC,
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              quod ſecetur vnà cum propoſito ſolido per quoduis pla­
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              num baſi ACB æquidiſtans: fiet in priſmate ſectio trian­
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              gulum OMN ſimile, æqualeque ipſi ACB, & in altero ſo­
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              lido triangulum LHM eidem ACB ſimile. </s>
              <s id="s.000613">Triangulum
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              ACB priſmatis ad
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              idem ſolido propoſito com­
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              mune, eſt vt circulus radio CA deſcriptus ad circulum
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              eundem; Item triangulum NOM ſectio priſmatis eſt ad
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              triangulum LHM ſectionem propoſiti ſolidi, vt circulus ex
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              radio MO deſcriptus ad circulum radio MH. </s>
              <s id="s.000614">Cum dein­
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              de idem dicatur de alijs omnibus ſectionibus priſmatis, & </s>
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