Clavius, Christoph
,
Geometria practica
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LIBER SEPTIMVS.
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Quamobrem rectangulum ſub GI, & </
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maius erit rectangulo contento ſub HK, & </
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<
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">dimidio ambitu figuræ DEC, quiæ-
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qualis ponitur dimidio ambitus figuræ A B C, Quocirca cumillud
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oſtenſum ſit æquale figuræ ABC, hoc autem figuræ DEF, æquale; </
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<
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</
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<
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maior eſt illa &</
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<
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<
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triangulum
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Iſoſcel{es} con-
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ſtituatur Iſo-
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perimetrum
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cuiuis trian-
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gulo non Iſo-
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ſceli.</
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">PROPOSITO triangulo, cuius duo latera ſint inæqualia, ſupra re-
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liquum latus triangulum priori Iſoperimetrum, ac duo habens latera
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æqualia, deſcribere.</
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<
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triangulum ABC, cuius duo latera AB, BC, ſintinæqualia, nempe AB,
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maius, quam BC; </
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<
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AB, BC, ſimul, diuidaturque bifariam in F. </
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">Et quoniam latera AB, BC, ſimul ma-
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iora ſunt latere AC, erunt quoque DF, FE, ſimul, maiores quam linea A C. </
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que ob id tres lineæ AC, DF, FE, ita ſeſe habebunt, vt quęlibet duæ ſintreliqua
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maiores. </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/327-01
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AGC, effectum erit, quod proponitur. </
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<
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latera A G, G C, & </
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æqualia lateribus AB, BC, ſimul ſumptis: </
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tur communi A C, erunt triangula ABC, AGC, Iſo-
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perimetra. </
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tera ſint inæqualia, ſupra reliquum latus triangulum,
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&</
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autem neceſſario punctum G, extra triangulum ABC: </
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caderet in latus AB, vtad punctum H, eſſet ducta recta HC, minor, quam
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BC, ſimul, & </
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cuius contrarium ex conſtructione eſt demonſtratum. </
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ctum G, intra triangulum ABC. </
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angulum ma-
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i{us} eſt trian-
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gulo ſibi Iſo-
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perimetro non
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Iſoſcele.</
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ſim, quorum vnius duo latera ſint æqualia, alterius verò inæqualia;
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</
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<
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<
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triangulum ABC, cuius latus AB, maius ſit latere BC,
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que ſuper baſim AC, triangulo ABC, triangulum Iſoperimetrum ADC, habens
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latera AD, DC, æqualia & </
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