Clavius, Christoph
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Geometria practica
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cular{es} ad baſ{es} productæ ab aliquo puncto medio ſint æqual{es}, maior eſt. # 310
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XVIII. Sphæra omnib{us} corporib{us} ſibi Iſoperimetris, & circa ali{as} ſphær{as} cir-
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cumſcriptibilib{us}, quæ ſuperficieb{us} conicis contineantur, ita vt latera omnia conica ſint
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æqualia, maior eſt. # 311
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XIX. Sphæra quolibet cono, & cylindro ſibi Iſoperimetro maior eſt. # 313
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XX. Dato ſemicirculo, vel quadranti, veloctauæ parti circuli, aut decimæ ſextæ,
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&c. rectangulum conſtituere Iſoperimetrum, & æquale, ſi linea recta peripheriæ detur
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æqualis. # 313
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XXI. Dato triangulo cuicunque parallelogrammum æquale, atque Iſoperime-
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trum conſtituere. # 314
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XXII. Dato rectilineo parallelogrammum rectangulum æquale, & Iſoperime-
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trum conſtituere. Oportet autem lat{us} quadratirectilineo æqualis mai{us} non eſſe ſemiſ@
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ſe dimidiati ambit{us} dati rectilinei. # 316
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De circulo per lineas quadrando. # 317
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Arabum, quam Ioſephus Scaliger in ſuis cyclometricis
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approbat, Alberti Dureri, & quæ Campano perperam aſcribitur, falſa eſt. # 318
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Hipocratis Chijper lunulas, acuta quidẽ, ſed falſa quo-
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que eſt. # 318
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I. QVADRATRICEM lineam deſcribere. # 320
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COROLLARIVM. Si ex centro Quadratricis recta ducatur ſecans
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quadrantem, & quadratricem: ita ſe habebit arcus quadrantis ad eius arcum
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abſciſſum, vtſemidiameter ad perpendicularem ex puncto quadratricis demiſ-
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ſam. # 323
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II. Siquadrantis, & quadratricisidem centrum ſit: erunt arcus quadran-
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tis, ſemidiameter, & baſis quadratricis continuè proportionales. # 324
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COROLLARIVM I. Rectam reperire arcui quadrãtis, ac proinde &
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ſemicircumferentiæ, immo & toti circumferentiæ æqualem. # 325
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COROLLARIVM II. Si baſis Quadratricis ſtatuatur ſemidiameter
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alicuius circuli: erit eius latus quartæ parti circumferentiæ illius circuli æquale,
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&c. # 326
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COROLLARIVM III. Siduæ lineæ eandem proportionem habeant,
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quam latus Quadratricis, eiuſque baſis, minor autem fiat ſemidiameter alicu-
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ius circuli: erit maior quartæ parti circumferentiæ illius circuli æqualis, &c.
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# 326
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III. Dato circulo quadratum æquale conſtituere. # 327
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FACILIS inuentio rectæ lineæ, quæ quartæ parti circumferentiæ dati cir-
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culi ſit æqualis. # 327
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FACILIS inuentio quadrati dato circulo æqualis. # 328
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IV. Dato quadrato circulum æqualem deſcribere. # 329
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COROLLARIVM. Circulum cuicunque figuræ rectilineæ æqualem:
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Et contra, cuicunque circulo figuram rectilineam qualemcunq; æqualem con-
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ſtituere. # 329
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V. Datæ rectæ lineæ circumferentiam circulireperire æqualem. # 329
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