Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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AV pars quinta EV. </
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<
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>Et quia quadratum E Veſt æquale re
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ctangulo contento AV,
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huius complemento ad diame
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trum circuli; EV verò aſſumpta partium 10, qualium AV eſt
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2; erithuius complementum partium 50: & tota diameter 52. </
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>Rurſum quia CG eſt tripla AC: illius verò quadratum æqua
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le rectangulo contento AC, atq, huius complemento ad dia
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metrum circuli; eſt verò quadratum CG partium 900, & AC
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partium 10; erit reſiduum ſegmentum partium 90: tota verò
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diameter partium 100. eſt verò eadem
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partium 52. </
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>Non igitur linea motûs AEF GHI eſt peripheria circuli. </
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<
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eſſe parabolam. </
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bolæ. erit
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ut recta AC ad rectam AV, ita quadratum
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ſemiordinatæ CG ad quadratum ſemiordinatæ VE. et quia
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CG eſt tripla VE; erit eiuſdem quadratum noncuplum ad illud
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quadratum. </
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<
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>At verò AC ad AV eſt ut 10 ad 2, hoc eſt quin
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tupla. non igitur ut AC ad AV, ita quadratum CG ad qua
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dratum VE: ac proinde linea AE FG &c. non eſt parabola. </
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