Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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AD RESP. JAC. GREG.
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ctum quam præcedentem {16c + 2d - 3a/15}, ſequetur, cubum c - a non
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fore majorem nihilo, & </
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<
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theſin, uti facile videre eſt per calculum analyticum, obſervan-
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do quod d ſit = {cc/a}.</
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<
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xml:space
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rum inſcriptorum, quorum unum ſubduplum laterum ha-
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bet numerum; </
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<
s
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xml:space
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">Et tum terminus a + {10cc - 10aa/6c + 9a} eſt longitu-
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do circumferentiæ Circuli, aut arcus ſectoris parum admo-
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dum excedens, ut ſi notarum triens in a & </
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<
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xml:space
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ror dari non poterit niſi in ultima nota, & </
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dem in quatuor vel quinque notis ſequentibus ultra illas quæ
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dantur in numeris a vel c.</
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<
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<
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">ut illi, qui contem plationes has negligunt, tamen
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quid commodi ex noſtra controverſia capiant, addam hic
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Geometricam conſtructionem ex ultimâ approximatione
<
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deductam qua invenitur longitudo arcus Circuli dati adeo
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acurata quam ad uſum deſideratur.</
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<
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fig. 3.</
note
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A B C, cujus ſubtenſa ſit A C; </
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partes æquales linea B D.</
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<
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xml:space
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in producta lineâ C D; </
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ducatur F B, & </
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A G æqualis arcui A B, vel dupla linea æqualis arcui A B C,
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quæ tam parum excedet, ut tunc etiam, quum arcus erit æ-
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qualis ſemicircumferentiæ Circuli exceſſus non ſit {1/1400}. </
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gitudinis; </
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{1/13000}, ſi autem arcus tantum ſit pars quarta circumferentiæ er-
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ror non erit {1/90000} longitudinis.</
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<
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omnino ſimilem pro quadratura Hyperboles, paulo magis
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accedentem ad veram quam media Arithmetica D
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. </
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