Iordanus <Nemorarius>
,
Iordani opusculum de ponderositate
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049/01/012.jpg
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<
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id.2.6.02.01
">Sit responsa a, c, b, et sit a, c, longior
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quám c, b. dico quód appensis aequa
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libus ponderibus, quae sint a, et b. </
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<
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clinabit ex parte a, dimissa enim perpen
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diculari c, f, b, circinentur duae quartae cir
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culorum circa centrum c, quae sint a, b, et
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b, f, et eductis contingentibus ab a, et b,
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quae sint a, e. </
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<
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id.2.6.02.03
">et b, d, palam est minorem
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esse angulum e, a, b, contingentiae, quám
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d, b, f, et ideo minor obliquus descensus
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per a, b, quám per b, f. grauius ergo a,
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quám b, in hoc situ.
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<
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">Quaestio sexta.
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<
s
id
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id.2.7.01.01
">Si fuerint brachia librae pro
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portionalia ponderibus appe
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nsorum ita, ut in breuiori grau
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iter appendatur, aeque gra
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uia erunt secundum situm ap
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pensa.
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<
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id
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id.2.7.02.01
">Sit ut prius regula a, c, b, appensa
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a, et b, sitque proportio b, ad a, tam
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quam a, c, ad bc. dico quód non
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nutabit in aliqua parte librae. </
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<
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id
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id.2.7.02.02
">sit enim
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ut ex parte b, descendat, transeatque
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in obliquum linea d, c, e, loco a, c, b, et
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appensa d, ut a, et e, ut b, et d, b, linea orthogonaliter descendat, et e, h,
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ascendat. </
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<
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id
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id.2.7.02.03
">palam quoniam trianguli d, c, b, et e, c, h, sunt similes, quia pro
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portio d, c, ad c, e, quám d, b, ad e, h, atque d, c, ad c, e, sicut b, ad a, ergo d, b,
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ad e, h, sicut b, ad a, sit igitur c, l, aequalis c, b, et c, e, et l, aequatur b, in pon</
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