Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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<
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_MAM_, vel _MINIMAM_ Hyperbolen, inſcriptam, vel circumſcriptam
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cuilibet datæ per punctum intra, vel extra Hyperbolen datũ in locis poſſibili-
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bus, ad eandem regulam, aut concentricè adſcriptam, vel cuius centrum pro
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inſcripta cadat infra centrum datæ, & </
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eidem datæ Hyperbolæ ſimilem eſſe.</
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">PAtet quoque, _MAXIMAM_ Hyperbolarum datæ Hyperbolæ ſimilium,
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per datum intra ipſam punctum inſcriptarum, eſſe concentricam, cum
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hæc, inter ſimiles, ſit _MAXIMORVM_ laterum. </
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rum datæ Hyperbolæ ſimilium per datum extra ipſam punctum in angulo
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aſymptotali, circumſcriptarum, eſſe pariter concentricam, cum eadem, in-
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ter ſimiles, ſit _MINIMORV M_ laterum.</
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metri ſegmento, & </
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dato etiam tranſuerſo latere; </
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bere.</
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& </
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Hyperbola, & </
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AF, quod pro Hyperbola in ſecunda vltra BA ipſi in directum ponatur, & </
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tertia, ex A ad partes B: </
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CD, quæſitam coni-ſectionem deſcribere.</
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AB ad BC, ita BC ad BE
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ipſi BC in directum poſitã,
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& </
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ducta EG parallela ad BA,
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vel in ſecunda, & </
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cta FE, occurrat AG, (quæ
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ipſi CD æquidiſtet) in G, & </
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per verticem A cum data
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diametro AB, datiſque la-
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teribus AF, A G deſcriba-
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tur quæſiti nominis
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huius.</
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CAD, cuius ordinatim du-
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ctæ ad angulum ABD </
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