Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ad M, ſuntque latera AK & BL æqualia interſę
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ergo ſe mutuò bifariam ſecabunt rectæ coniungentes
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AB, & KL in eodem puncto G; idemque continget
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translatis ponderibus in N, & O, & ideo punctum G
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erit centrum, ſeu ſtabile
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libræ AB quo
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modolibet reuolutæ: ducatur tandem per I recta li
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nea IP parallela funibus ſecans libras KL, & NO iņ
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punctis M, & P patet libras in eadem proportione re
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ciproca ſecari in punctis I, M, P, quam habent oppoſi
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ta pondera proindeque eadem puncta erunt centrą
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grauitatum, earumdem librarum cum ponderibus ap
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penſis; quapropter licet minus pondus B aſcendat per
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BLO, tamen ambo pondera A, & B in communi
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grauitatis eorum I ſuſpenſa circa centrum
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G, & in extremo fune-penduli GI deſcendunt noņ
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circulari, ſed directo motu perpendiculari ad hori
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zontem ab I per M & P, quod fuerat oſtendendum. </
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Cap. 2. de
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momentis
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grauium in
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fluido inna
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tantium.</
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PROP. VII.
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Id ipſum osten ditur, cùm pondera in peripherijs inæqua
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libus, & concentricis eiuſdem trochleæ reuoluuntur.
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<
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">SIt trochlea CDE circa axim F conuertibilis, & in
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ea ſit alia concentrica circumferentia RSQ, &
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funi SQB alligetur pondus B, alij verò funi DEA alli
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getur pondus A
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abbr
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ſintq;
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funes nullius ponderis; oſten
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detur, vt in præcedenti, funes EA, & BQ eſſe interſe
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parallelos; poſtea
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coniũgatur
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recta AB, atque vt
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põ-dus
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dus</
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A ad B ita reciprocè fiat diſtantia BI ad IA; patet </
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