Clavius, Christoph
,
Geometria practica
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LIBER OCTAVVS.
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idem parallelogrammum quadrilatero dato ABCD, æquale eſſe. </
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<
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xml:space
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primi.</
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parallelogrammum FD, triangulo ABD, & </
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CBD, æquale eſt; </
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<
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æquale.</
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quod eſt propoſitum.</
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quam per propoſ. </
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rectangulum A B C D, cui ſupra datam rectam conſtituendum eſt re-
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ctangulum æquale. </
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mirum A B, capiatur B E, æqualis datærectæ, ſiue ea
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ſit maior latere AB, ſiue minor: </
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recta ducatur ſecans AD, productam in F, complea-
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turque rectangulum AH, & </
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cantur vſque ad G, I. </
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CH, complemento CA, ęquale. </
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ſit lateri BE, id eſt, datærectæ æquale: </
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rectæ BE, & </
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quarta proportionalis C G. </
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comprehenſum, rectangulum videlicet C H, æquale erit dato rectangulo AC,
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ſub ſecunda AB, & </
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<
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per duas præcedentes propoſ. </
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linea in triangula reſoluatur, conſtituent quælibet duo commune latus haben-
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tia trapezium, cuius latus commune eſt diameter. </
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"> Igitur ſi ſingulis trapeziis ſingula rectangula fiant æqualia, atque etiam vltimo triangulo, ſi fortè nume-
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rus triangulorum eſt impar. </
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<
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<
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vni lateri primi rectanguli, & </
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proportionalis; </
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<
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& </
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<
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<
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tus prope aſſumptum in primo rectangulo producatur, & </
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datur recta æqualis quartæ proportionali, compleatur que totum rectangulum,
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habebitur rectangulum ex duobus compoſitum æquale duobus primis tra-
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peziis. </
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<
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ta proportionalis, & </
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