Ceva, Giovanni
,
Geometria motus
,
1692
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torum motuum ex ſimplicibus geneſibus, quæ ſint in ea
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dem altitudine DFG, KFG, ſunt in reciproca ratione am
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plitudinum, ſeu primarum velocitatum KG ad DG, vel
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BC; ex æquali igitur ſpatia acceleratorum motuum ex
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propoſitis ſimplicibus geneſibus BAC, KFG nectentur ex
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ratione duplicata altitudinum AC ad FG, & reciproca
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amplitudinum KG ad BC earundem geneſum BAC,
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KFG. </
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Tab.
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7.
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fig.
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6.</
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28.
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huius.
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29.
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huius.
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Scholium.
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At quia in ſpatijs, quæ accelerato motu peraguntur; non
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ſeruatur ratio altitudinum geneſum ſimplicium, ex quo ori
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tur in hac methodo quædam percipiendi difficultas; ideo ſe
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quenti problemate, alijſque iam notis veritatibus, rem planè
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illuſtrabimus, ac ſimul doctrina vſum trademus.
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PROP. XXXI. PROB. VI.
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">EX datis ſpatijs accelerato motu confectis, cognitiſ
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que primis, aut poſtremis ſimilium, ſimpliciumque
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motuum velocitatibus, reperire tempora ipſorum de
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curſuum. </
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">Spatia motibus acceleratis exacta ſunt C, D, & velo
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tates, ſeu amplitudines geneſum ponantur eſſe A, B, ſcili
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cet A principio motus per C, & B initio motus per D, quæ
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ritur ratio temporum, quibus exiguntur propoſita ſpatia.
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dia proportionalis. </
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<
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ne quadratorum temporum, & ex ea amplitudinum, ſeu
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homologarum velocitatum in ſimplicibus motibus, ſimili
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buſque ſumptarum; & ideo temporum quadrata necten
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tur ex ratione ſpatiorum C ad D, & ex reciproca ampli-</
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