Clavius, Christoph
,
Geometria practica
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quoque angulum à linea ſecante, & illa alia, quæ per interſectionem diametri
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cum prædicta chorda perpendiculari ducitur, bifariam. # 258
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XXIX. Deſcriptionem pentagoni æquilateri, & æquianguli ſupra datam
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rectam ab Alberto Durero traditam, & quam omnes ferè architecti, atque arti-
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fices approbant, falſam eſſe, demonſtrare. # 360
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SCHOLIVM. Deſcriptionem eiuſdem pentagoniab aliis nonnul-
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lis traditam, falſam quoque eſſe, demonſtrare. # 362
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XXX. Inuentionem lateris heptagoni in dato circulo non rectè à quibuſ-
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dam tradi, demonſtrare. # 362
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XXXI. Octogonum æquilaterum, & æquiangulum circulo inſcriptum, me-
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dio loco proportionale eſt inter quadratum eidem circulo circumſcriptum, &
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quadratum inſcriptum. # 364
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XXXII. Si ex diametro quadrati detrahatur ipſi{us} lat{us}: Reliqua linea
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erit lat{us} alteri{us} quadrati, cui{us} diameter eſt linea, quæ relinquitur ſi lat{us} in-
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uentum bis ex diametro prioris quadrati auferatur: vel ſi idem lat{us} inuentum
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ex prioris quadrati latere tollatur. # 365
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XXXIII. Octogonum æquilaterum, & æquiangulum ad datam altitudi-
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nem, latitudinemue conſtituere. # 365
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XXXIV. Ambitumterræ ex edito aliquo monte metiri. # 366
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XXXV. Priſmati cuicunque cylindrum æqualem, & Pyramidi conum æ-
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qualem: Ac viciſſim cylindro Priſma æquale, & cono æqualem Pyramidem
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conſtituere. # 367
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XXXVI. Dato cylindro, aut Priſmati æqualem conum, vel Pyramidem
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ſub eadem altitudine: Et viciſſim dato cono, vel pyramidi æqualem cylindrum,
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aut Priſma eiuſdem altitudinis conſtituere. # 368
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COROLLARIVM I. Tam Cylindrum, quam Priſma, mu-
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tare in Pyramidem, aut conum; Et Pyramidem tam in cylindrum, quam
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in priſma æquale conuertere. # 368
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COROLLARIVM II. Cylindrum, Priſma, Conum, ac Pyrami-
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dem commutare in parallelepipedum rectangulum æquale, cuius baſis
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ſit quadrata. # 369
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XXXVII. Datum cylindrum, vel Priſma: Similiter datum conum,
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vel pyramidem cuiuſcunque altitudinis, in æqualem ſub data qualibet
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alia altitudine, & ſupra baſem quotcunque angulorum reuocare. # 369
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XXXVIII. Dato parallelepipedo rectangulo cubum æqualem deſcri-
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bere. # </
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