Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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circulus æqualis ſitrectangulo ſub AB, BEF, erit quo que ſector A B C D,
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ctangulo ſub AB, BC, æqualis. </
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ratione procreabitur ſector A B F D A, ex ſemidiametro A B, in ſe-
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miſſem arcus BFD.</
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<
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deinde ſegmentum BCD. </
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<
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xml:space
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gnitis per aliquam menſuram lateribus trianguli A B D, & </
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menſura, vt Num. </
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<
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<
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guli ABD. </
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<
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">Hæc enim detracta ex illa relinquet aream ſegmenti propoſiti BCD.</
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<
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præterea figura lenticularis duobus arcubus G H I, GKI. </
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</
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<
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area. </
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">Summa enim ex duabus hiſce areis conflata, erit area propoſitæ figuræ
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GHIK. </
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">Quod ſi ſegmenta GHI, GKI, ſint æqualia, ſatis erit vnius areaminue-
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ſtigare. </
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<
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aliter metiemur figuras ex varijs circulorum ſegmentis coagmen-
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tatas, ſiue omnes circumferentiæ extrorſus vergant, ſiue introrſum, ſiue partim
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introrſum, & </
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dantur chordæ, metiemur in prima quadrilaterum ABCD, vt cap. </
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mus: </
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nim hæc ſegmenta quadrilatero adijciantur, quod omnia extrorſum tendant,
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conſlabitur area figuræ A E B F C G D H, ex quatuor arcubus compoſitæ.</
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ſecunda autem metiemur pentagonum ABCDE, per ea, quæ cap. </
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pta ſunt: </
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">Ex quo ſi dememus quinque ſegmenta introrſum vergentia, quæ qui-
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dem ex ijs, quæ Num. </
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<
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guræ A F B G C H D I E K, ex quinque arcubus conflatæ.</
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<
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tertia denique pentagono A B C D E, adij ciemus tria ſegmenta, A F B,
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A G E, C H D, extrorſum vergentia, & </
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B I C, D K E, introrſum vergentia tollemus, vt area relinquatur figuræ AFBIC-
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HDKEG, ex quinque arcubus compoſitæ. </
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uis irregularem metirilicebit.</
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denique in prima figura huius cap. </
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prehenſum duabus rectis L M, N O, & </
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vt Num. </
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<
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area P N O, detracta ex maiori PLM, reliquam ſaciet aream propoſiti ſegmenti
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L M O N.</
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<
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quartus hic liber concludatur, lubet hic appẽdicis loco regulas quaſ-
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dam alias à noſtro inſtituto non alienas ſubiungere.</
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