Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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numerum particularum ſolidi A B C, æquale quadratis di-
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<
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ſtantiarum à plano A D . </
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xml:space
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xml:space
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huj.</
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æquale {1/20} quadrati B C.</
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<
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<
s
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xml:space
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">Itaque, totum ſpatium applicandum, æquatur hic {3/80} qua-
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drati A D, cum {1/20} quadrati B C. </
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<
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hic, poſita fuerit in A, vertice pyramidis, ideoque diſtan-
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tia, ad quam applicatio facienda, A E æqualis {3/4} A D; </
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<
s
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hinc E S, intervallum quo centrum agitationis inferius eſt
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centro gravitatis, æquale {1/20} A D, atque inſuper {1/15} tertiæ
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proportionalis duabus A D, B C. </
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<
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A D, præter dictam {1/15} tertiæ proportionialis.</
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<
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">Quod ſi A B C conus fuerit, omnia eodem modo @e habe-
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bunt, niſi quod ſpatium Z hic fit æquale rectangulo Δ Ρ Φ
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xml:space
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">Prop. 15.
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huj.</
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hoc eſt {3/2@} quadrati P V vel B D, ſive {3/80} quadrati B C.
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<
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">Quare, totum ſpatium applicandum, in cono erit {3/80} qua-
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drati A D, una cum {3/80} quadrati B C. </
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<
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ſuſpenſione ex vertice A, fiet E S, qua centrum agitationis
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inferius eſt centro gravitatis, æqualis {1/20} A D, & </
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<
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proportionalis duabus A D, B C. </
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<
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">ſive tota A S æqualis {4/5}
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A D, una cum {1/5} tertiæ proportionalis duabus A D, D B. </
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Atque hinc manifeſtum eſt, ſi A D, D B æquales ſint, hoc
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eſt, ſi conus A B C ſit rectangulus, fieri A S æqualem axi
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A D.</
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<
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">Sequitur quoque porro, ex propoſitione 20, conum hunc
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rectangulum, ſi ex D centro baſeos ſuſpendatur, iſochro-
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num fore ſibi ipſi ex vertice A ſuſpenſo, quemadmodum & </
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de triangulo rectangulo ſupra oſtenſum fuit.</
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<
s
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xml:space
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">Si A B C ſit ſphæra, erit figura plana proportionalis, à
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">TAB. XXVI.
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Fig. 2.</
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latere adponenda, O V H, ex parabolis compoſita, qua-
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rum baſis communis O H, æqualis ſphæræ diametro A D.
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<
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