Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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C eodem modo, quo inuentum eſt centrum F quadrantís rotati: </
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ter inueniatur centrum grauitatis TAI rotati; </
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<
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">connectantur rectâ hæc
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duo centra inuenta, ſitque vt duplum BAC ad CAI, ita ſegmentum
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connectentïs centra, quod terminatur in centro CAI ad aliud ſegmen
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tum; punctum diuidens ſegmenta erit centrum grauitatis quæſitum, à
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quo ſi ducatur perpendicularis, eo modo, quo diximus, hæc dabit cen
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trum percuſſionis. </
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">Octauò, ſi aſſumatur ſector maior ſemicirculo, v.g. AVBL, eodem
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modo procedendum eſt; quippe PAV æquiualet CAB, & IAL æquiua
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let CAI, & BAP æquiualet BAI, nec eſt noua difficultas. </
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">Nonò, hinc ſi circulus integer circa centrum voluatur, centrum per
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cuſſionis erit in K, ſed ictu quadruplo ictus inflicti à quadrante. </
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Theorema
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21.
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Si rotetur circulus circa punctum circumferentia vel circa Tangentem,
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determinari poteſt centrum percuſſionis
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; </
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">ſit enim centro B, ANCP, rota
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tus circa TA, in quam diameter AC cadit perpendiculariter; </
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RC 1/3 AC: </
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">dico R eſſe centrum percuſſionis; quia motus C eſt ad mo
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tum R, vt CF ad RH, & ad motum B, vt CF ad BL, &c. </
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">igitur perinde
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ſe habet planum ANCP, atque ſi ſemicylindrus ACF ipſi incubaret,
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vt patet, ſed centrum grauitatis huius ſolidi eſt X in quo CL & FB de
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cuſſantur; </
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">ſed vt demonſtratum eſt ſuprà, ſi ducatur HXR, RC eſt 2/3
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totius AC; igitur R eſt centrum percuſſionis. </
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Corollarium.
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<
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">Primò colligo, ſi ſegmentum circuli voluatur: </
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centrum percuſſionis, inuento ſcilicet centro grauitatis baſis vtriuſque
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v.g. ſi ſegmentum OAQ voluatur circa TA, inueniri debet centrum
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grauitatis eiuſdem & ad illud à puncto H recta ducenda; </
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<
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ueniendum eſt centrum grauitatis ſegmenti Ellipſeos HAI, & ad illud
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à puncto R ducenda recta; nam vtriuſque decuſſationis punctum dabit
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centrum grauitatis huius ſolidi, ex qua ſi ducatur perpendicularis in AR,
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extremitas dabit centrum percuſſionis. </
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">Secundò, ſi voluatur circulus CNAH circa PN, habebitur centrum
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percuſſionis eodem modo, inuentis ſcilicet centris grauitatis ſemicir
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culi PNC, & ſemiellipſeos, cuius altera ſemidiameter ſit BF, altera BP,
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vt conſtat ex dictis, </
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Theorema
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22.
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Si voluatur circulus circa punctum circumferentia in circulo parallelo ſuo
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plano, determinari poteſt centrum percuſſionis, quod diſtat
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2/3
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diametri à cen
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tro motus
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; </
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<
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">ſit enim circulus ACFG, centro B, qui voluatur circa cen
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trum A; </
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<
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">motus puncti F eſt ad motum puncti B, vt recta AF ad rectam
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AD, & ad motum puncti C, vt AF ad AC; </
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<
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ſit EH æqualis AF, diuiſa bifariam in F, quæ tandiu voluatur, donec </
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