Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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& lateri A B æqualia prop. 34. lib. 1. </
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>Sint & totidem G Q,
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E F, H R ſecundum latitudinem extenſa, interſe quoque, & la
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teri A C æqualia per eandem.
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Sit ſecunda forma
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in eadem ratione laterum, & ea
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dem magnitudine ſeruata, & linearum ſed obliquarum æquali nu
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mero, quæ ſint
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tum
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quæ quia pa
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rallelæ ſunt, & aduerſæ in ſuis parallelogrammis, omnes inter ſe
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æquales ſunt prop. 34. lib. 1. </
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>Nam poſito quod
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ſit ab angulo
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ad
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medium lateris
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: erit hæc æqualis ipſi
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quia latera
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æqualium quadratorum. </
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g c,</
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vel quod idem eſt ex
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prop. 47. lib. 1.
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Dico ergo quod lorum K N cum G Q, id eſt A C, A B ma
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ius eſt
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& duo pariter accepta duobus pariter acceptis eſſe
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maiora: ſicque totum lorum in lecto A B C D maius eſſe toto,
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quod eſt in lecto
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Demonſtratio. </
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">Quia rectangulum ſub A C, A B comprehen
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ſum duplum eſt quadrati ex A C prop. 1. lib. 6. & rectangulum ſub
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duplum
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eſt quadrati ex A C. </
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quadratum
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ſit. </
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Nã
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&
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ſunt æquales ex fabrica, æquale eſt prop. 47. lib. 1.
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duobus quadratis ex A C & C F: ſed quod idem eſt ex
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&
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æqualibus ex hypoth. erit
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ſub A C, A B comprehenſum
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rectangulo ſub
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comprehenſo. axiom. 6. & per idem rectan
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gulum bis ſub A C, A B comprehenſum, rectangulo bis ſub
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