Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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ab aliquo angulorum ſuſpendatur, motuque hoc laterali agi-
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tetur, pendulum illi iſochronum eſſe {2/3} diagonii totius.</
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<
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">In triangulo iſoſcele, cujuſmodi C B D, ſpatium appli-
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Fig. 4.</
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candum æquatur parti decimæ octavæ quadrati à diametro
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B E, & </
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">Unde, ſi
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ab angulo baſeos ducatur D G, perpendicularis ſuper latus
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D B, quæ occurrat productæ diametro B E in G; </
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<
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A centrum gravitatis trianguli; </
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<
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">diviſoque intervallo G A
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in quatuor partes æquales, una earum A K apponatur ipſi
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B A; </
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<
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xml:space
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">erit B K longitudo penduli iſochroni, ſi triangulum
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ſuſpendatur ex vetrice B. </
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<
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">Cum autem ex puncto mediæ ba-
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ſis E ſuſpenditur, longitudo penduli iſochroni E K æquabi-
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tur dimidiæ B G.</
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<
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">Atque hinc liquet, triangulum iſoſceles rectangulum, ſi
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ex puncto mediæ baſis ſuſpendatur, iſochronum eſſe pendu-
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lo longitudinem diametro ſuæ æqualem habenti. </
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<
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ſi ſuſpendatur ab angulo ſuo recto, eidem pendulo iſochro-
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num eſſe.</
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">In parabolæ portione recta, ſpatium applicandum æqua-
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tur {12/175} quadrati axis, una cum quinta parte quadrati dimi-
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diæ baſis. </
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">Cumque parabola ex verticis puncto ſuſpenſa eſt,
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invenitur penduli iſochroni longitudo {5/7} axis, atque inſuper
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{@/3} lateris recti. </
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erit ea longitudo {4/7} axis, & </
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<
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style
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">Centrum oſcillationis Sectoris circuli.</
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<
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">In circuli ſectore B C D, ſi radius B C vocetur r: </
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Fig. 5.</
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arcus C F, p: </
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dum æquale {1/2} rr - {4b b r r/9 p p}, hoc eſt, dimidio quadrati B C,
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minus quadrato B A; </
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<
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ctoris. </
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