Jordanus de Nemore
,
[Liber de ratione ponderis]
,
1565
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<
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">Quaestio quarta.
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<
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id
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">Quum fuerint appensorum po
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ndera aequalia, non faciet nutum
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in aequilibri appendiculorum in
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aequalitas.
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<
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id
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">Sit responsa a, b, c, centrum c, et
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appendicula a, d, et b, e, longius au
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tem b, e, appensa b, e, descendatque c,
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z, y, orthogonaliter quantumlibet, et
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ductis d, z, et e, y, aeque distantibus re
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spondere, et positis centris in z, et y,
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circunducantur quartae circulorum
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per d, et, e. </
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id
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id.2.5.02.02
">Et quoniam d, z, et e, y,
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sunt aequales, erunt et quartae circu
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lorum aequales. et quia per illorum
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circunferentias est descensus d, et c,
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quum aeque ponderosa sint d, et e, et
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aeque obliquus, descensus in hoc situ
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aeque grauia erunt. </
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<
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id
="
id.2.5.02.03
">Non ergo nuta
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bit hinc, uel inde responsa. </
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<
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id
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">Quod
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autem per illas sit illorum descensus,
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sic constet. </
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<
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id
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id.2.5.02.05
">Describatur enim semi
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circulus circa centrum c, secundum
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quantitatem b, et a, et dimittatur a,
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in m, et b, in n, descendantque ab m,
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et n, ad quartarum circunferentias
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lineae m, x, et n, h, aeque distantes c,
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x, dico quód m, x, adaequatur a, d, et
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n, h, aequalis est b, e, quod patet ductis
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lineis z, x, y, h. </
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<
s
id
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id.2.5.02.06
">Quum ergo semper de
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scendant a, et b, per hunc semicircu
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lum descendunt etiam d, et e, per de
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scriptas quartas, et hoc fuit demon
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strandum. </
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<
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<
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id
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">Si brachia librae fuerint inae
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qualia, aequalibus appensis ex
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parte longiore nutum faciet. </
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