Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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">Si fuerit rectangulum ABC, ęquale rectangulo DEF, ſitque AC
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maior DF, erit BC minor EF.</
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">SI enim dicatur BC æqualem, vel maiorem
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eſſe EF, cum ſit data AC maior DF, eſſet
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omnino AB maior DE, & </
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<
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">BC dicitur æqualis,
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vel maior EF, ergo rectangulum ABC eſſet om-
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nino maius rectangulo DEF, ſed æquale poſi-
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tum fuit. </
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<
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">Si recta linea ad alterũ terminũ cuiuſdam applicatæ coni-ſectio-
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nem, vel circulũ cõtingat, ipſa omnino ſecabit ſibi adſcriptã eiuſdẽ
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nominis ſectionẽ circa eandẽ applicatam, & </
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<
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">cum æquali tranſuerſa
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diametro, ſi ſectiones fuerint Hyperbolæ, vel Ellipſes, aut circuli.</
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">ESto quæcunque coni-ſectio, vel circulus ABC, cuius diameter BD, yo
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vna applicatarum ſit AC. </
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EAF, quæ diametro occurret in F; </
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pr. conic.</
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quolibet puncto G, cum diametro GD, & </
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ſed etiam, pro Hyperbola in ſecunda, & </
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cum dato tranſuerſo latere GM, quod æquale ſit tranſuerſo BL datæ ſectio-
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nis, deſcribatur eiuſdem nomin@s ſectio AGC: </
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<
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contingente EAF.</
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t AGC, cum
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eius diametro conueniat in H.</
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<
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