Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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quæ verò cum tranſuerſo, quod deficiat à CF, eſt quidem minor ipſa ABC,
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omnino ſecat Hyperbolæ portionem A N C ſupra baſim AD cum & </
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gula ſecet datæ portionis regulam M L ſupra A D. </
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<
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D eſt _MINIMA_ circumſcripta cum dato recto C E, Quod vltimò, &</
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quod excedat verſum, vel cum dato recto, quod minus ſit recto datæ
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portionis, maius verò latitudine ſemi-applicatæ baſis portionis, per
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eius verticem MAXIMAM Ellipſis portionem inſcribere. </
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<
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">Datæ portioni circuli, vel Ellipſis, cum dato tranſuerſo, quod mi-
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nus ſit tranſuerſo, ſed maius diametro datæ portionis, vel cum dato
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recto, quod excedat rectum datæ portionis, per eius verticem MI-
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NIMAM Ellipſis portionem circumſcribere.</
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<
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">SIt data circuli, vel Ellipſis portio A B C D, cuius diameter C E, baſis A D,
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verſum CF, rectum CG, & </
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Ellipſis portionem inſcribere, cum dato tranſuerſo CH, quod ſit maius ipſo CF.</
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in I; </
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">iunctaque HI, conueniat producta cum con-
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tingente C G in L, & </
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ctoq; </
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<
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">CL adſcribatur per C Ellipſis portio A M
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D, quæ per extrema baſis A D tranſibit
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portioni erit inſcripta. </
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_MAM_. </
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H, ſed cum recto, quod minus ſit ipſo C L, minor
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eſt eſt ipſa A M C D; </
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tota cadit extra ABCD, tum cum eius rectũ
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quet CG, tũ cũ ipſum excedat; </
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portionem ABCD ſupra baſim AD quando
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cadat inter CL, & </
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regula HO, ſecat omnino regulã I G ſupra eandem
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AD. </
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<
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inſcripta cum dato trãſuerſo CH. </
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</
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<
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<
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tranſuerſo CH, datoque recto CL adſcribatur per C Ellipſis portio A M C
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quæ datæ portioni occurret in A, & </
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<
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_MAXIMAM_ quæſitam.</
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<
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CH eſt minor portione AMCD; </
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<
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">quæ autem cum verſo, quod excedat C H, quale eſt C P, eſt quidem maior ipſa AMCD, ſed omnino ſecat Ellipſim A B
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C D ſupra baſim A D cum iuncta regula P L, ſecet regulam I G ſupra
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