Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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<
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primò parallelo grammum A B C D, per rectam ex puncto E, exteriori
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ductam ſecundum bifariam. </
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">Ducta diametro B D, eaque ſecta bifariam in F,
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ducatur ex E, per F, recta EH, quam dico parallelogrammum
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partiri bifariam. </
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<
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monſtrauimus, recta G H, diuidens diametrum B D, in F, bifa-
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riam, ſecat parallelo grammum bifariam. </
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latera AD, BC, ſecans bifariam, diuidatur bifariam in F, & </
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F, extendatur recta E F, propterea quod I K, diametrum ſecat
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bifariam, ac proinde per F, punctum medium diametritranſit.
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Cum enim anguli IDF, F I D, angulis alternis KBF, FKB, æquales ſint, & </
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I D, KB, quibus adiacent, æqualia; </
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F, K F, inter æqualia.</
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modo ex puncto interioriL; </
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ducta LF, vel GF, parallelogrammum bifariam diuidet.</
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inuenire.</
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<
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Geodæſia noſtra prioribus quinq; </
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">& </
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">nouem alijs propoſitionibus, ijs demonſtratis, quæ addenda eſſe cenſuimus
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adidem argumentum ſpectantia: </
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figuris in data proportione, vt in titulo huius lib. </
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ſicutid in planis figuris effi ci non poteſt ſine inuentione medię proportionalis
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inter duasrectas propoſitas, quam inuentionem Euclid. </
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<
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tradidit: </
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">ita idem abſolui in figuris ſolidis nulla ratione poteſt, niſi inter duas
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rectas datas duæ mediæ reperiantur proportionales. </
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poſ. </
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">in medium afferemus, quæ antiqui Geometræ nobis hac de reſcripta relin-
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querunt. </
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e torſit, quamuis ne-
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mo ad hanc vſque diem, verè, ac Geometricè duas medias proportionales inter
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duas rectas datas inuenerit. </
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nis; </
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bolę, tum ope duarum parabolarum; </
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mis ſubtiliſsimiſque: </
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Byſantio, Philoppono, Diocle, & </
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modiores, facilioreſque, & </
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rationes deſiderat, legere eas poterit in Commentarijs Euto cij Aſcalonitæ in li-
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brum 2. </
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Norimbergenſis de ſectionibus Conicis. </
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introductionibus, & telis fabricandis: qui etiam Apollo-
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nio Pergæo aſcribitur.</
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duæ lineęrectę AB, BC, inter quas oporteat duas medias proportio-
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nales in quirere. </
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