Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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tionalis S N, quæ terminetur in N, (qualis fuit tertia proportionalis S N, dua-
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bus K N, & </
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xml:space
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xml:space
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">Quando enim ter-
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minatur in N, erit rectilineum inter B I, & </
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<
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">vltimam parallelam comprehenſum
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æquale quadrato K M, hoc eſt, rectilineo A, vt oſtenſum fuit de rectilineo BH,
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paulo ante hunc Num. </
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<
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xml:space
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">Quando autem terminus tertiæ proportionalis ca-
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dit vltra N, videlicet in b. </
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<
s
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xml:space
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">ita vt rectangulum Y d, ſit æquale vltimo quadrato
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inuento, hoc eſt, rectilineo D H; </
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<
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xml:space
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">ac proinde totum rectilineuminter BI, & </
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<
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mam parallelam, hoc eſt, rectangulum K d, maius quadrato K M, vel rectilineo
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A; </
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<
s
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xml:space
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">erit vltimum rectilineum D H, maius rectangulo N d, propterea quod K Z,
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ipſi BH, æquale eſt, & </
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<
s
xml:id
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xml:space
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">Y d, ipſi D H. </
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xml:space
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">Quare ſi ſuper rectam D a, inter rectas D V,
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a H, conſtituatur trapezium D f, per parallelam e f, rectangulo N d, æquale, vt
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ſupra Num. </
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<
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">e f, parallelas conten-
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tum æquale quadrato K M, hoc eſt, rectilineo A.</
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non eſt neceſſe, vt ſemper à proximo angulo parallela duca-
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tur in figura B F. </
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">Quando namque ſenſus iudicaret plus minus, parallelam ex
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aliquo angulo non proximo ductam auferre rectilineum minus quadrato
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K M, vel non multò maius, ducenda eſſet parallela ex eo angulo, & </
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lineo abſciſſo conſtruendum æquale quadratum, & </
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prius.</
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ſi aliquando deprehenderetur, rectilineum abſciſſum non eſſe
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multo minus quadrato, conſtituendum eſſet, vt Num. </
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lelam illam trapezium æquale rectangulo, quo quadratum KM, rectilineum ab-
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ſciſſum ſuperat.</
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