Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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GEOMET. VARIA.
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PROBLEMA AB ERUDITIS SOLVENDUM:
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A
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JOHANNE BERNOULLIO
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IN ACTIS LIPSIENSIBUS
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ANNI MDCXCIII.
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PROPOSITUM.</
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fig. 5.</
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proprietatem, ut, ducta ubicunque tangente
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B D terminata ab axe A E, portio ejus abſciſſa
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A D ſit ad tangentem B D in ratione conſtan-
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te M ad N.</
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<
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<
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corum applicationem meretur. </
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<
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">In quacunque enim ratio-
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ne ſit M ad N, curva A B C ſemper eadem facilitate mo-
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tu quodam continuo deſcribi poteſt, non obſtante, quod
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curva pro ratione M ad N magis vel minus compoſita
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evadat; </
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<
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">in caſu quippe rationis æqualitatis illico patet,
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curvam A B C eſſe circulum: </
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">in reliquis ſi M ad N eſt ut
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numerus ad numerum, erit quidem curva geometrica, ſe-
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cus autem tranſcendentalis eſt. </
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matio puncti in curva.</
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