Iordanus <Nemorarius>
,
Iordani opusculum de ponderositate
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id.2.9.02.08
">Esto linea recta i, k, e, n, z, et circa centrum c, hinc inde duo semicirculi y,
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a, e, z, k, b, d, n, et transeat lineae aequedistantes á diametro a,f,e, et b, l,
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d, directequeque perpendiculares hinc inde fiant aequales ut b, l, et e, f, pertra
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ctis recte lineis e, b, c, a, d, c, e, positio quód pondera sint aequalia m, a, b, d,
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e, f, in hoc situ aeque ponderosa erunt. </
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">Ducte enim lineae b, a, b, x, f, b, e, d,
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a, d, f, d, e, omnes secabuntur per aequalia apud diametrum, veluti b, x, f,
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et ita omnes diuisae erunt per medium. quare ergo in medio omnium sint
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centra posita, sicut sunt pondera posita aequaliter, ergo ponderant: subti
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lius tamen quaedam differentia potest perpendi: ut sit a, ponderosius quám
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b, et b, quám f, et f, quám d, et d, quám e, nec tamen potest d, eleuare e,
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statim enim proportio lineae d, e, uersus e, fieret maior, sed e, potest nutu facto
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trahere b, et b, similiter a, et d, a, et a, d, et b, f, et f, b. </
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<
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">donec circumuo
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luta dependeant ut sit angulus supra centrum, sub ipso enim motu b, infe
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rius crescet semper pars lineae b, a, uersus b, et fiat b, grauius.
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<
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">Aequalitas declinationis identitatis ponderis.
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<
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">Declinationis aequalitas tantum in uia recta conseruatur, et ipsa sit
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in linea a, b, et recte descendens linea sit a, c, sintque in a, b, duo loca
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d, et e. </
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<
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id.2.10.02.02
">Sive ergo á d, descendat quodlibet pondus, siue ab e, eiusdem
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ponderis erit, aequales enim partes sub d, et, c, sumptae aequaliter capiunt
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de directo, quod patet ductis perpendicularibus ad a, c, a, b, eisdem locis
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quae sint e, f, h, 6. l, et dimissis orthogonaliter super illas d, k, et e, m, li
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neas, vnde siue excedatur pondus supra a, b, siue simul ponatur vnius pon
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deris est.</
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