Ceva, Giovanni
,
Geometria motus
,
1692
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dera ſubmoueantur ex B, et C funiculis cæſis, fore vt eæ
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dem extremitates reſtituantur in H, et G æqualibus tem
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poribus. </
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<
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per idem graue B, quæ ſit EF, æqualis GC; propterea li
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beratis funiculis ad B, et C, eodem tempore reſtituetur C
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in G, ac E in F, quo tempore etiam B in H reſtitutum fue
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rit; nam vno puncto in primum ſuum locum redito, etiam
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alia ſingula in ſuum locum perueniſſe, opportebit. </
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Tab.
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8.
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fig.
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5.</
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Exemplum.
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<
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">HAc occaſione de funiculis erit non iniucunda diſer
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tatio, remque ſic adhuc intactam promouebimus,
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ſimulque demonſtrabimus. </
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mus. </
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, quæ ſupra, ſcilicet conceptis in filo AB quot
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libet partibus interſe æqualibus,
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lõgitudinẽque
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totam im
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plentibus, hæ ſingulæ æqualiter à pondere B trahentur,
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eritque BH ſumma omnium dictarum partium elongatio
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num, & eodem pacto EF erit ſumma elongationum
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partiũ
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omnium in AE contentarum, ab eodemque pondere effe
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ctarum; propterea vt AB ad BH, ita erit AE ad EF; quamo
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brem velocitas etiam puncti B ſublato pondere B erit ad
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velocit atem puncti E ob eandem detractionem, vt BH ad
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EF, vel BA ad EA (nam quot ſunt partes conceptę iņ
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vtraque fili longitudine, totidem ſunt etiam impetus inter
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ſe æquales) idem oſtenderemus ſi loco ponderis B, minus
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quodcumque ſuſpenderemus, vt ſcilicet puncta B, et E ad
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quemuis locum ſuperius remanerent, librarenturque cum
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reſiſtentijs
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partiũ
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eò elongatarum, ergo tranſitus ex B in H,
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& puncti E in F ſubducto pondere B erunt motus ſimilium
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ſimpliciumque; ſed motus ex C in G exempto pondere C
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eſt prorſus idem, ac motus E in F, ergo motus ſimiles, ac </
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