Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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ad I Y, hoc eſt, ita quadratum G, ad rectangulum I Z: </
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B C F, maius quadrato G, ſiue rectilineo A: </
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rum, qui duo bus rectis minores ſunt, conſtruendum eſt trapezium dato recti-
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lineo æquale, debet eſſe triangulum maius rectilineo) erit quo que
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lum V C T, maius rectangulo I Z. </
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trapezium V b, rectangulo I Z, æquale: </
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ta quarta proportionali B D, (tranſibit autem recta ducta C a, per D,
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quarta B D, ritè eſt inuenta, ita vt viciſsim recta C a, ſi ex quiſitè ducatur, ex- hibeat quartam proportionalem quæſitam B D,) demittatur D E, ipſi B C, pa-
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rallela. </
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trapezium B E, trapezio V b, ſimile eſt, per ea, quæ ad propoſ. </
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clid. </
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rectam X, hoc eſt, vt recta HI, ad IY, hoc eſt, vt quadratum G, ad rectangu- lum I Z. </
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que trapezium BE, quadrato G, hoc eſt, rectilineo A, æquale. </
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ſitum.</
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aliter ex alia parte angulorum R B C, S C B, qui duo bus rectis ſunt
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maiores, etiamſi punctum concurſus F, non habeatur, trapezium conſtituemus
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rectilineo T, æquale, cuiuſcunque magnitudinis illud ponatur. </
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hoc caſu neceſſe eſt, ipſum eſſe minus triangulo B C F, ſi perficeretur. </
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namque ex quolibet puncto T, rectæ C F, ipſi BF, parallella T V, eaque pro-
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ducta, inueniatur duabus rectis B C, C V, tertia proportionalis X. </
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