Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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_NIMA_ verò in hoc caſn, tum in quarta, tum in quinta figura eſt
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ad num. 4.</
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G D; </
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<
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ctum.</
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<
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B E, punctum G cadat inter B, & </
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<
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verticem, reliquum interuallum D G, vel erit non minus, vel minus di-
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midio B F, quo in caſu duæ _MAXIMAE_ reperientur ad partem periphe-
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riæ A D C: </
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<
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">eadem conſtructione, & </
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ctum G fuerit inter ſemi-
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axes, aut extra ſectioné,
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vt in ſeptima figura; </
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intra, vt in octaua; </
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ipſa ſectione, vt in nona.
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inde producatur, & </
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vt tranſuerſum D B ad re-
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ctum B F, ita E H ad
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16. h.</
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G, ac ita G I ad I E, & </
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ex H, I, ducantur H L,
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minori axi A C, & </
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maiori D B parallelę, quę
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ſimul occurrent in L, & </
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in angulo H L I per pun-
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ctum E (quod eſt cen-
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trum Ellipſis) deſcriba-
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tur Hyperbole M G
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diconic.</
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N, quæ neceſſariò
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ſibit per G (cum ſegmen-
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ta G H, E I rectæ H I ap-
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plicatæ in angulo aſym-
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ptotali H L I, ſint ęqua-
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lia,) & </
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punctis M, N, Ellipſis
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peripheriam ſecabit. </
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co has interſectiones da-
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re puncta quæſita: </
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eſt iunctam G N in ſepti-
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ma, octaua, & </
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gura eſſe _MAXIMAM_, & </
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G M _MINIMAM_, in ſe-
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ptima, & </
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">octaua figura, tantùm, quoniam in nona ipſa _MINIMA_ abit in
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punctum.</
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contingens M P maiori axi occurrens in P; </
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conic.</
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<
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