DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Iiſdem poſitis, duca
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tur FCG ipſi AB, &
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horizonti perpendicula
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ris; & centro C, ſpatio
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què CA, circulus deſcri
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batur ADFBEG. erunt
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puncta ADBE in circu
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li circumferentia; cum li
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bræ brachia ſint æqualia. </
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& quoniam in vnam con
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ueniunt ſententiam, aſſe
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rentes ſcilicet libram DE
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neq; in FG moueri, ne
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que in DE manere, ſed in AB horizonti æquidiſtantem rediré. </
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hanc eorum ſententiam nullo modo conſiſtere poſſe oſtendam. </
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Non enim, ſed ſi quod aiunt, euenerit, vel ideo erit, quia pondus
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D pondere E grauius fuerit, vel ſi pondera ſunt æqualia, diſtantiæ,
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quibus ſunt poſita, non erunt æquales, hoc eſt CD ipſi CE non erit
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æqualis, ſed maior. </
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<
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">Quòd autem pondera in DE ſint æqualia, &
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diſtantia CD ſit æqualis diſtantiæ CE: hæc ex ſuppoſitione pa
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tent. </
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<
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">Sed quoniam dicunt pondus in D in eo ſitu pondere in E
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grauius eſſe in altero ſitu deorſum: dum pondera ſunt in DE, pun
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ctum C non erit amplius centrum grauitatis, nam non manent, ſi
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ex C ſuſpendantur; ſed erit in linea CD, ex tertia primi Archi
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medis de æqueponderantibus. </
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<
s
id
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">non autem erit in linea CE, cum pon
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dus D grauius ſit pondere E. ſit igitur in H, in quo ſi ſuſpendan
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tur, manebunt. </
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<
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">Quoniam autem centrum grauitatis ponderum
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in AB connexorum eſt punctum C; ponderum verò in DE eſt
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punctum H: dum igitur pondera AB mouentur in DE, centrum
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grauitatis C verſus D mouebitur, & ad D propius accedet; quod
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eſt impoſsibile: cum pondera eandem inter ſe ſe ſeruent diſtantiam. </
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Vniuſcuiuſq; enim corporis centrum grauitatis in eodem ſemper
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eſt ſitu reſpectu ſui corporis. </
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<
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id
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">& quamquam punctum C ſit duo
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rum corporum AB centrum grauitatis, quia tamen inter ſe ſe ita à
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libra connexa ſunt, vt ſemper eodem modo ſe ſe habeant; Ideo
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punctum C ita eorum erit centrum grauitatis, ac ſi vna tantum </
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