Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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ET HYTERBOLÆ QUADRATURA.
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<
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">PROP. XXXIV. PROBLEMA.</
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xml:space
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">Ex dato logorithmo invenire ejus
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numerum.</
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<
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fig. 1.</
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ac ſi quis proponeret; </
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xml:space
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una recta uni aſymptotorum parallela illud comprehenden-
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te, alteram invenire idem ſpatium comprehendentem, & </
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eidem aſymptoto parallelam. </
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<
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xml:space
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arithmeticis conſtet logorithmus denarii arbitrarius; </
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<
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xml:space
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">& </
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<
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xml:space
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tur logorithmi vel ſpatii dati talis pars aliquota nempe ſpa-
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tium L I K M, ut pentagoni ſpatio L I K M regulariter cir-
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cumſcripti, & </
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<
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xml:space
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">hexagoni eidem regulariter inſcripti toties
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multiplicia, quoties ſpatium datum multiplex eſt ſpatii
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L I K M, concordent in tot notis arithmeticis, quot conti-
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net radix quadrata logorithmi arbitrarii; </
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<
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xml:space
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ri poteſt ex inſpectione tabellæ 32 hujus: </
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L I K M menſura & </
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L M, z; </
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regulariter circumſcriptum & </
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inſcriptum, inter quæ ſpatium datum L I K M eſt ſecunda
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duarum mediarum arithmeticè continuè proportionalium;
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</
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<
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">ideo duplum haxagoni una cum pentagono æquatur triplo
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ſpatii, cujus æquationis reſolutio manifeſtat ignotam z ſeu
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numerum L M, cujus toties multiplicatus, quoties ſpatium
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L I K M eſt ſubmultiplex ſpatii vel logorithmi dati, eſt nu-
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merus quæſitus, quem invenire oportuit.</
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<
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lius & </
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tum.</
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