Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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<
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<
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<
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<
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>
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<
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<
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.</
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>
& </
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<
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xml:space
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">jungatur E A, quæ parabolam A B C in A continget.
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</
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<
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xml:space
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">Porro ſecetur A D in G, ut ſit A G ad G D ſicut E A ad
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A D. </
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<
s
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xml:space
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H. </
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<
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xml:space
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<
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xml:space
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">inter H
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& </
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<
s
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xml:space
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">L media proportionalis inveniatur K. </
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>
<
s
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xml:space
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">qua tanquam radio
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circulus deſcribatur. </
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<
s
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xml:space
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">Is æqualis erit ſuperficiei curvæ conoi-
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dis A B C. </
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<
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xml:space
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">Hinc ſequitur, ſi fuerit A E dupla A D, ſu-
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perficiem conoidis curvam ad circulum baſeos fore ut 14 ad
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9. </
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<
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xml:space
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<
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xml:space
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ut 14 ad 5. </
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<
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xml:space
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">Atque ita ſemper fore ut numerus ad numerum,
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ſi A E ad A D ejusmodi rationem habuerit.</
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invenire.</
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<
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<
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">ESto ſphæroides oblongum cujus axis A B, centrum C,
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<
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Fig. 4.</
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ſectio per axem ellipſis A D B E, cujus minor diame-
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ter D E.</
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<
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xml:space
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">Ponatur D F æqualis C B, ſeu ponatur F alter focorum
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ellipſeos A D B E, rectæque F D parallela ducatur B G,
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occurrens productæ E D in G. </
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<
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xml:space
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">centroque G, radio G B,
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deſcribatur ſuper axe A B arcus circumferentiæ B H A. </
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<
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xml:space
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">In-
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terque ſemidiametrum C D & </
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>
<
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xml:space
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">rectam utrisque æqualem, ar-
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cui A H B & </
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<
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xml:space
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">diametro D E, media proportionalis ſit recta
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K. </
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<
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xml:space
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">Erit hæc radius circuli qui ſuperficiei ſphæroidis A D B E
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æqualis ſit.</
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</
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xml:space
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æqualem invenire.</
head
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<
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<
s
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xml:space
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<
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.
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Fig. 5.</
note
>
per axem ellipſis A D B E.</
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<
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in G, intelligatur parabola A G B quæ baſin habeat axem
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A B, verticem vero punctum G. </
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& </
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<
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xml:space
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