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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que {{1/4}ggoo/pp}, invenitur y = l - {nx/z} + √- mm + ox + {ppxx/gg}
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Eademque eſt demonſtrandi ratio in caſu quarto, & </
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quibusvis, habita ratione ſignorum + & </
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">Cum non habetur {nx/z} in æquatione, puncta M & </
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ſunt, tunc vero ſi p = g, hoc eſt ſi habeatur + xx pro
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{ppxx/gg}, erunt ſemper aſymptoti ſibi mutuò ad angulos rectos,
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quia ut p ad g, ita fecimus {1/2}o ad I X & </
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">ita IX
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ad I V; </
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">fiunt enim jam æquales I X, I Y, I V, & </
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{1/2}o, unde punctum V eſt in ſemicirculo ſuper X Y & </
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de angulus X V Y rectus. </
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">Item quia I M = {{1/2}aogg/zpp}, patet
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quod ſi ag = zp, hoc eſt ſi g ad p ut z ad a, tunc erit
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I M = {{1/2}og/p}, ac proinde æqualis ipſi IX & </
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{{1/2}og/p}. </
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los rectos; </
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rentia circuli deſcripti ſuper X Y centro I.</
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