DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO XV. </
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<
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">Quia verò dum pondera vecte mouentur,
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vectis quoq; grauitatem habet, cuius nulla ha
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ctenus mentio facta eſt: idcirco primùm quo
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modo inueniatur potentia, quæ in dato puncto
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datum vectem, cuius fulcimentum ſit quoq; da
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tum, ſuſtineat, oſtendamus.
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<
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">Sit datus vectis AB, cuius fulcimentum ſit datum C; ſitq;
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punctum D, in quo collocanda ſit potentia, quæ vectem AB ſu
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ſtinere debeat, ita vt immobilis perſiſtat. </
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<
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">ducatur à puncto C
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linea CE horizonti perpendicularis, quæ vectem AB in duas di
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uidat partes AE EF, ſitq; partis AE centrum grauitatis G, &
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partis EF centrum grauitatis H; à punctis〈qué〉 GH horizon
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tibus perpendiculares ducantur Gk HL, quæ lineam AF
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in punctis KL ſecent. </
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<
s
id
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">quoniam enim vectis AB à linea CE in duas
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diuiditur partes AE EF; ideo vectis AB nihil aliud erit, niſi
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duo pondera AE EF in vecte, ſiue libra AF poſita; cuius ſu
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ſpenſio, ſiue fulcimentum eſt C. quare pondera AE EF ita erunt
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poſita, ac ſi in kL eſſent appenſa. </
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<
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">diuidatur ergo kL in M,
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ita vt kM ad ML, ſit vt grauitas partis EF ad grauitatem par
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tis AE; & vt CA ad CM, ita fiat grauitas totius vectis AB ad
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potentiam, quæ ſi collocetur in D (dummodo DA horizonti </
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