DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit vectis AB, cuius fulcimentum C; ſitq; pondus D ex A ſu
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ſpenſum AH, ita vt AH ſit ſemper horizonti perpendicularis:
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ſitq; potentia ſuſtinens pondus in B. </
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<
s
id
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">Dico potentiam in B ad pon
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dus D ita eſſe, vt CA ad CB. </
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<
s
id
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">fiat vt BC ad CA, ita pondus D
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ad aliud pondus E, quippè quod ſi in B appendatur; ipſi D æque
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ponderabit, exiſtente C amborum grauitatis centro. </
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<
s
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">quare poten
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tia æqualis ipſi E ibidem conſtituta ipſi D æqueponderabit, vecte
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AB, eius fulcimento in C collocato, hoc eſt prohibebit, ne pon
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dus D deorſum vergat, quemadmodum prohibet pondus E. </
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tentia verò in B ad pondus D eandem habet proportionem, quam
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pondus E ad idem pondus D: ergo potentia in B ad pondus D
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erit, vt CA ad CB; hoc eſt vectis diſtantia à fulcimento ad pon
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deris ſuſpendium ad diſtantiam à fulcimento ad potentiam. </
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<
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demonſtrare oportebat. </
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6
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Primi Archim. de æquep.
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Ex
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7
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quinti.
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<
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">Hinc facilè oſtendi poteſt, fulcimentum quò
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ponderi fuerit propius, minorem ad idem pon
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dus ſuſtinendum requiri potentiam. </
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">Iiſdem poſi
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tis, ſit fulcimen
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tum in F ipſi A
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propius, quàm
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C; fiatq; vt BF
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ad FA, ita pon
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dus D ad aliud
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G, quod ſi appendatur in B, pondera DG ex fulcimento E
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æqueponderabunt. </
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<
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">quoniam autem BF maior eſt BC, & CA
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maior AC; maior erit proportio BF ad FA, quàm BC ad CA: </
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