Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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ut AF menſura plagæ ad EF reſiduum impulſum, ita circulus
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H, ad quadratum ABCD: erit permutando AF ad H, ut FE
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ad ABCD: ac proinde per poſit. 4. eadem velocitas motûs in
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utrâq;
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figurâ. </
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<
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>Quadratum ergo ABCD nullam à circulo per
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cuſſo recipit plagam. </
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>Et quia præpondium eſt in E, propterea
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quòd impulſus in AF defecit ex illâ plagâ; neceſſe librationem
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fieri in G. </
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>Nequit autem revolui centrum E, niſilatus AB ſe
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cet circulum H, aut hic à plagâ velociùs ſe abducat. </
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>Quia ve
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rò eadem velocitas motûs, neceſſe motum in E per lineam fi
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eri parallelam lateri AB. </
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LEMMA II.
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Si figura maior in motu percutiat minorem; habeat verò ſegmentum
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ſemidiametri figuræ motûs, quod eſt inter lineam hypomochlij & extre
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mum motûs, minorem rationem ad alterum ſegmentum, quod eſt inter
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eandem lineam hypomochlij & figuræ centrum, quàm habeat figura
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minor ad maiorem, motus figuræ maioris erit parallelus lineæ mediæ
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inter tangentem circuli, & lineam productam à centro maioris ad con
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tactum.
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<
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>Habeat AF ad FE
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minorẽ
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rationẽ
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, quàm circulus H ad qua
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dratum ABCD: dico, motum E figuræ maioris eſſe
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parallelũ
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lineæ GK mediæ inter GB & GE. </
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<
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>Quia enim minorem ra
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tionem habet AF ad FE, quàm circulus H ad quadratum
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ABCD; & permutando AF ad H, quàm FE ad ABCD, mi
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nori velocitate movebitur ex illâ plagà circulus H, quàm
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quadratum ABCD: eandem ergo recipit à circulo percuſſo,
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quam dedit plagam. </
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>Et quia præpondium in E; ob tardita
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tem motûs circuli ad lineam determinatur parallelam lateri
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AB per 1. Lemma: impulſum verò recipit à circulo H per </
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