Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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XIMAM Parabolen inſcribere: </
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<
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<
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AEC, quæ à diametro AE ſit bifariam ſecta in E, & </
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diametrum ED, & </
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AB, CB ſectionem contingent, vnde Parabo- le erit dato angulo inſcripta; </
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quoniam quælibet Parabole per D ipſi ADC
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adſcripta cum recto, quod eius recto ſit minus
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ipſa ADC minor eſt, quęlibet verò
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roll. 19. h.</
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cum recto, quod prædictum excedat licet ea-
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dem ſit maior, ſecat tamen latera dati anguli.</
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">ibidem.</
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Quare Parabole ADC eſt _MAXIMA_. </
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primò, &</
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ſam datum ſit pũctum B, per quod ei opor-
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teat _MINIMVM_ angulum rectilineum circum-
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ſcribere. </
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taque AEC, iunctiſque BA, BC, Erit angulus ABC _MINIMVS_ quæſitus,
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vt ſatis perſpicuè patet. </
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">Nam cum ipſæ BA, BC ſectionem contingant om- nes aliæ ex B ductæ minorem angulum dato ABC adſcriptum conſtituentes,
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ſectionem ſecabunt, quare, &</
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problematibus; </
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velinſcribi, aut circumſcribi proponitur, quæſita coni-ſectio,
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vel circulus; </
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">è contra, dum datæ com-ſectioni, vel circulo
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per datum punctum adſcribitur, velinſcribitur, aut circumſcribitur quæſi-
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tus angulus; </
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<
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">id ſemper à nobis accipi intelligitur in eodem ſenſu quintæ ſe-
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cundarum definitionum huius, qua in præcedentibus hactenus vſi ſumus;
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">nempe lineam, quæ per datum punctum educta diameter eſt datæ, vel quæſitæ
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ſectionis, eſſe quoque diametrum dati, vel quæſiti anguli, ſiue eius verti-
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ci occurrere; </
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catis com-ſectionis, velcirculi, ſint quoque ab eadem ſectionis diametro </
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