Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
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Ioan. de Sacro Boſco.
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turq́ue rectangulum B E F C, quod erit duplum trianguli A B C; </
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rectanguli A D B E. </
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<
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ſub perpendiculari A D, & </
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<
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uidat ſecundo perpendicularis A D, baſim B C, non bifariam, uel etiam ca-
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dat in baſim C B, protractam, ut in 2. </
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<
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<
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<
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<
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xml:space
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A F, in utramque partem æquidiſtans rectæ B C, compleaturq́ue rectangulũ
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A D C F. </
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<
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A D, æquidiſtantes, eritq́ue G H, æqualis perpendiculari A D. </
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<
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tur rectangulum B C E F, duplum eſt trianguli A B C; </
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li B E H G; </
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<
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G H, uel A D, & </
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<
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iuslibet trianguli æqualis eſt, &</
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cuiuslibet figuræ regularis æqualis eſt rectangulo contento ſub
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figura quæ
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cunque cui
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rectangulo
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ęqualis ſit.</
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perpendiculari à centro figurę ad unum latus ducta, & </
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tu eiuſdem figuræ.</
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figura regularis quæcunque A B C D E F, & </
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G, à quo ducatur G H, perpendicularis ad unum latus, nempe ad A B: </
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quoque rectãgulum I K-
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L M, contentum ſub I K,
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quæ æqualis ſit perpendi-
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culari G H, & </
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cta, quæ æqualis ponatur
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dimidiæ parti ambitu fi-
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guræ A B C D E F. </
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huic rectangulo æqualem
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eſſe figuram regularẽ A
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B C D E F. </
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ex G, ad ſingulos angulos
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lineæ rectæ, ut tota figura
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in triangula reſoluatur,
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quæ omnia æqualia inter
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ſe erunt, ut in corollario
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propoſ. </
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monſtratum eſt à nobis;
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</
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<
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tera triangulorum à pun-
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cto G, exeuntia ſint inter
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ſæ æqualia, habeantq́; </
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ſes æquales, nempe latera
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figuræ regularis. </
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nim efficitur, omnes angu
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los ad G, æq uales eſſe, ac proinde, ex dicto corollario, triangula ipſa inter ſe
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<
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quoque eſſe æqualia. </
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