Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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QVÆSTIO SECVNDA
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De Libra
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243</
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Cvr ſi quidem ſurſum fuerit ſpartum, quando deorſum lato pondere, quiſ
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piam id amouet, rurſum aſcendit libra? </
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<
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">Si autem deorſum constitutum
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fuerit, non aſcendit, ſed manet? </
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<
s
id
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s.002671
">An quia ſurſum ſparto quidem exiſten
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te plus libræ extra perpendiculum fit, ſpartum enim eſt perpendiculum,
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quare neceſſe est deorſum ferri id, quod plus est, donec aſcendat, quæ bifariam li
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bram diuidit ad ipſum perpendiculŭm, cum onus incumbat ad libræ partem tractam.
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ſit libra vbi recta B C, ſpartum autem
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A D: hoc igitur ſurſum erecto, perpendi
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culum erit vbi A D M. ſi igitur in ipſo B,
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ponatur onus, B, quidem deſcendet vbi E;
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C, autem aſcendat vbi H, quamobrem ea,
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quæ bifariam libram ſecat, primò quidem
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erit D M, ipſius perpendiculi; incumben
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te autem onere erit D G, quare libræ ip
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ſius vbi E H, quod extra A M, perpendi
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culum eſt, vbi eſt D D H, maius eſt dimidio. </
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<
s
id
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s.002672
">ſi igitur amoueatur onus ab ipſo E, ne
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ceſſe eſt H, deorſum ferri, minus enim eſt ipſum E D. ſi quidem igitur ſurſum ha
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buerit ſpartum, propter hoc aſcendit libra. </
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<
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id
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">ſi autem deorſum fuerit, id quod ſub
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stat, contrarium facit; plus enim dimidio fit libræ, quæ deorſum eſt, pars, quàm
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quod perpendiculum ſecet; quapropter non aſcendit, pars enim eleuata leuior eſt.
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ſit libra vbi N G, perpendiculum autem
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K L M, bifariam igitur ſecatur N G. im
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poſito autem onere in ipſo N, erit quidem
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N, vbi O, ipſum autem G, vbi R; K L, au
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tem vbi K P, quare maius eſt L P O, quàm
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L R, ipſo P L. </
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<
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id
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s.002674
">Ablato igitur onere, ne
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ceſſe eſt manere; incumbit enim, ceu onus
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exceſſus medietatis in quo P L.)
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Aduer
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te textum græcum eſſe mendoſum, la
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tinum vero mendoſiſſimum. </
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<
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id
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">Ego partim ex certa rei intelligentia, vti vi
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des reſtitui. </
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<
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abbr
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Idemq́
">Idemque</
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; circa figuras præſtiti. </
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<
s
id
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s.002677
">Porrò quoniam Piccolomineus,
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& ſi plurimum, vt ipſe fatetur, inſudauerit, non tamen ſolutionem huius
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quæſtionis eſt aſſecutus, eam tibi ex Mechanicis Guidibaldi tradam. </
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<
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id
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">Ariſt.
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igitur ponit duas libræ ſpecies, ſiue potius duas eiuſdem libræ poſitiones,
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vnam, quæ habet ſpartum, ſiue perpendiculum ſupra; alteram, quæ infra.
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vt in præſenti figura, ſit libra B C, cuius
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ſpartum, ſiue perpendiculum A D, ſit ſur
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ſum, ita vt in puncto A, ſit affixum perpen
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diculum, & circa idem punctum A, tan
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quam circa centrum tota libra circum
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uertatur. </
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>
<
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id
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">hæc eſt prima libræ collocatio. </
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>
<
s
id
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s.002680
">ſit deinde libra B C, cuius ſpartum,
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ſiue perpendiculum A D, ſit deorſum, vt in altera figura,
<
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abbr
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ſitq́
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; circa </
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