Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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<
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rem axim, recta C D maior C A (cum circulus ex C A ſit ſectioni
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ptus, ac propterea ſecet C D) ſed C A maior eſt G D, v thìc ad numeros
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2, 3, & </
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<
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<
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quadratum C D maius quadrato G D, vel duo ſimul C I, I D maiora
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duobus ſimul G I, I D, quare dempto communi D I, erit quadratum C I
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maius quadrato G I, vnde punctum C cadet infra G: </
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<
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mul conueniunt ad partes axis B R, vt ad num. </
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<
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<
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rum occurſus erit vltra axim B R.</
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<
s
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">In quarta demum figura, eſt C D minor C A (cum circulus ex C A ſit
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Ellipſi circumſcriptus ) & </
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<
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monſtrauimus, quare C D erit omnino minor G D, ſiue quadratum C D
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minus quadrato G D, vel duo ſimul C I, I D minora duobus ſimul G I,
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I D; </
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<
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">quamobré dempto I D, erit C I minus G I, ſiue punctum C occurſus
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inferioris perpendicularis A C cadet ſupra G occurſum ſuperioris D G;
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<
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dimus ad num. </
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contactus, & </
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<
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ſecant vltra M L, vti paulò ante demonſtrauimus. </
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curſus huiuſmodi perpendicularium A C, D G cadet in angulo quadran-
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tis M L G, qui deinceps eſt quadranti M L B, ad cuius peripheriam M A
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B ductæ ſunt perpendiculares A C, D G, &</
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facillimùm eſt demonſtrare.</
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