Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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CHRISTIANI HUGENII
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jecta eſt linea C F, erit rectangulum A F C cum quadrato
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E C æquale quadrato E F. </
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<
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eſt quadrato E G. </
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<
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drato C E, æquale rectangulo A G B cum quadrato B E.
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<
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Ergo & </
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A G B. </
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<
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xml:space
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">Quare ſicut F A ad A G ita B G ad C F. </
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<
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tem F A ad A G ita eſt D B ad B G, & </
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<
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">ita quoque F C ad
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C D. </
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<
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F C, & </
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Quod autem dictum eſt, etiam deſcriptâ hyperbole inveni-
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ri quomodo linea F D G ducenda ſit, hinc conſtabit: </
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ctum enim ſit, ut E F, E G ſint æquales, & </
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<
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æqualis D F. </
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<
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deſcribetur per D punctum circa aſymptotos F A, A G .</
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xlink:label
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Sed idem punctum N eſt quoque ad circuli circumferentiam
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cujus centrum E radius E D: </
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quia triangulus F E G eſt æquicruris, & </
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Itaque datum eſt punctum N ad interſectionem hyperboles
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& </
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">circumferentiæ dictæ. </
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poſitione linea F G ducenda per puncta N, D. </
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ſitio manifeſta eſt.</
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Fig. 5.</
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circulus deſcribatur & </
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lis, & </
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ducatur ex centro E recta E H G eâ ratione ut H D, H G
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ſint inter ſe æquales. </
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<
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<
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G L.</
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jungatur A K, eique parrallela ducatur B O. </
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que ſunt trianguli A E K, B H O; </
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E K, etiam B H, H O æquales erunt. </
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inter ſe æquales ſunt. </
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