Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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<
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xml:space
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pſes & </
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venire iisdem curvis æquales.</
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</
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<
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xml:space
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">Sit ellipſis vel hyperbole quælibet A B, cujus axis trans-
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Fig. 2. & 3.</
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verſus A C; </
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A E. </
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xml:space
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tur ordinatim ad axem recta B K, & </
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<
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xml:space
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tangens ducatur quæ conveniat cum axe in F; </
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<
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ipſi F B perpendicularis, axique occurrat in G; </
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<
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catur B G usque ad H, ut B H ad H G habeat rationem
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eam quæ componitur ex rationibus G F ad F K, & </
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ad D E.</
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</
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<
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<
s
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xml:space
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">Dico curvam E H M, cujus puncta omnia inveniuntur
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eodem modo quo punctum H, eſſe eam cujus evolu-
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tione, unà cum recta E A, deſcribetur ſectio A B. </
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<
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autem B H tangere curvam in H, & </
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lem. </
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portioni curvæ H E æquabitur. </
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væ puncta quævis indifferenter, certaque ratione invenian-
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tur, eſſe eam utrobique ex earum genere, quæ merè geo-
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metricæ cenſentur. </
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<
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rum ad puncta axis A C, æquatione aliqua exprimi poterit,
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quam æquationem ad ſextam dimenſionem aſcendere invenio;
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</
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<
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cujus latera transverſum rectumque æqualia. </
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<
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cta ex quovis curvæ puncto, ut H, ad axem C A N per-
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pendiculari H N; </
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y; </
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Sed hoc caſu brevius quoque multo, quam prædicta con-
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ſtructione, curvæ E H M puncta reperiri poſſunt, ut in ſe-
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quentibus oſtendetur.</
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<
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gularum linearum evolutione deſcribi; </
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