Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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ſpatium B D percurreretur. </
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xml:space
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<
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ex æquabili quo percurſurum eſſet ſpatium B D, & </
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<
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tu gravium cadentium, quo deprimi neceſſe eſt per ſpatium
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ipſi A B æquale. </
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<
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xml:space
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">Quare ad B D addita D E, æquali A B,
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ſcimus tempore ſecundo grave perventurum ad E.</
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<
s
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">Quod ſi vero inquiramus quam velocitatem habeat in E,
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in fine ſecundi temporis, eam inveniemus duplam eſſe debe-
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re velocitatis quam habebat in B fine temporis primi. </
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>
<
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xml:space
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">Dixi-
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mus enim moveri compoſito motu ex æquabili cum celerita-
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te acquiſita in B, & </
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<
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">ex motu à gravitate producto, qui
<
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cum tempore ſecundo idem plane ſit ac primo, ideo decur-
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ſu temporis ſecundi æqualem celeritatem gravi contuliſſe
<
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debet atque in fine primi. </
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<
s
xml:id
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xml:space
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">Quare cum acquiſitam in fine pri-
<
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mi temporis celeritatem conſervaverit integram, apparet in
<
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/>
fine ſecundi temporis bis eam celeritatem ineſſe quam acqui-
<
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ſiverat in fine temporis primi, ſive duplam.</
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<
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<
s
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">Quod ſi jam, poſtquam pervenit in E, pergeret deinceps
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tantum moveri celeritate æquabili, quantam illic acquiſivit,
<
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apparet tempore tertio, prioribus æquali, percurſurum ſpa-
<
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tium E F, quod duplum futurum ſit ſpatii B D; </
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<
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xml:space
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">quia hoc
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percurri diximus dimidia hujus celeritatis, motu æquabili,
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& </
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<
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">temporis parte æquali. </
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<
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xml:space
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">Accedente autem rurſus gravitatis
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actione, percurret tempore tertio, præter ſpatium E F,
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etiam ſpatium F G, ipſi A B vel D E æquale. </
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<
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">Itaque in
<
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fine tertii temporis grave invenietur in G. </
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<
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">Velocitatem vero
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hîc habebit triplam jam ejus quam habebat in B, in fine pri-
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mi temporis: </
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<
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xml:space
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">quia præter celeritatem acquiſitam in E, quam
<
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diximus duplam eſſe acquiſitæ in B, vis gravitatis, tempo-
<
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ris tertii decurſu, æqualem rurſus atque in fine primi cele-
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ritatem contulit. </
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<
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xml:space
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">Quamobrem utraque celeritas, in fine tem-
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poris tertii, triplam celeritatem conſtituet ejus quæ fuerat
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in fine temporis primi.</
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<
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<
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xml:space
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">Eodem modo oſtendetur tempore quarto peragi debere & </
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<
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ſpatium G H triplum ſpatii B D, & </
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">ſpatium H K ipſi A B
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æquale: </
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<
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">velocitatemque in K, in fine quarti temporis, fo-
<
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re quadruplam ejus quæ fuerat in B, in fine temporis primi.</
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