Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
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Ioan. de Sacro Boſco.
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<
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cuiuslibet circuli æqualis eſt rectangulo comprehenſo
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ſub ſe-
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quicunque
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cui rectan
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-
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gulo æqua-
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lis ſit.</
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midiametro, & </
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circulus A B C, cuius ſemidiameter D B: </
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121-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/121-01
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D B E F, comprehenſum ſub D B, ſemidiametro circuli, & </
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æqualis ſit dimidiatæ circunferentiæ circuli. </
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lem eſſe rectangulo D B E F. </
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<
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">Producatur enim B E, in continuum, ponatur-
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q́ue E G, æqualis ipſi B E, ut ſit B G, recta æqualis toti circunferentiæ circu-
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li. </
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">Archimedis de Dimenſione circuli) circulus A B C, æqualis eſt trian
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gulo D B G: </
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ſcholio propoſ. </
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baſis rectanguli, (Id quod etiam ex demonſtratione antecedentis propoſ. </
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quet, ubi oſtendimus, triangulum D E F, æquale eſſe rectangulo D E H I:) </
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erit quoque circulus A B C, rectangulo D B E F, æqualis. </
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libet circuli æqualis eſt rectangulo, &</
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quædã triã-
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guli rectan
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guli.</
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omni triangulo rectangulo, ſi ab uno acutorum angul orum ut-
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cunque ad latus oppoſitum linea recta ducatur, erit maior proportio
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huius lateris ad eius ſegmentum, quod prope angulum rectum exi-
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ſtit, quàm anguli acuti prędicti ad eius partem dicto ſegmento late-
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ris oppoſitam.</
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<
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triangulum rectangulum A B C, cuius angulus C, ſit rectus; </
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