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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additis ad 6978128, fiunt 10471980. </
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cedunt {1/60} circumferentiæ, & </
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<
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polygona adhibeamus laterum 10800, quorum inſcripti qui-
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dem latus, calculo Ludolphi Colonienſis, Arithmetici nobi-
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lis, inventum eſt partium 58177640912684919 non unâ am-
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plius, ſubtenditurque duobus ſcrup. </
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autem latus 58177643374063182 non unâ minus. </
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<
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latus polygoni ſubduplo laterum numero inſcripti, quod eſt
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116355276902613523 non unâ minus. </
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<
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gitudo invenitur major quam partium 6283185307179584;
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<
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1000000000000000. </
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<
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xml:space
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pti circumſcriptique polygoni iſtius lateribus, invenietur
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tantum majorem eſſe peripheriam partibus 62831852, & </
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norem 62831855. </
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duplum numerum eſſe à nobis inventum. </
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præcedentibus ita ſe habet, ſemperque evenire neceſſe eſt quot-
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cunque laterum polygonis utamur. </
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<
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trademus, triplum numerum notarum facile obtineri appare-
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bit.</
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<
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II.
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. XI.</
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tera dempto circuli radio minora ſunt peripheriâ dimidiâ.
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</
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quit. </
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dini ſic inventæ, jam dimidiam peripheriam excedet. </
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ſic fiet manifeſtum. </
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latus dodecagoni inſcripti circulo eſt amplius quam 5176 {3/8}. </
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Unde latera octo majora quam 41411. </
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erit reliqua major quam 31411. </
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<
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">cui ſi addantur partes 5,
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hoc eſt, {1/4000} diametri, fient jam 31416; </
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circumferentiam dimidiam liquet ex præcedentibus. </
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