Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
"/>
ſit longitudo. </
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<
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xml:space
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">Itaque & </
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xml:space
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">pendulorum ſimplicium longitudi-
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<
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<
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.</
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nes, duplicatam rationem habebunt temporum, quibus o-
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ſcillationes minimæ tranſiguntur.</
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<
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xml:space
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">Quod ſi quis oſcillationum numerandarum, quæ horæ aut
<
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ſemihoræ tempore tranſeunt, laborem non defugiat; </
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<
s
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xml:space
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">horo-
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logiumque adſit, cujus index ſecunda ſcrupula demonſtret;
<
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/>
</
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>
<
s
xml:id
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echoid-s4116
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xml:space
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">quæcunque accipiatur penduli ſimplicis longitudo, ejus nu-
<
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merus oſcillationum, quæ hora una continentur, hoc modo
<
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/>
cognoſcetur; </
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>
<
s
xml:id
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echoid-s4117
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xml:space
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">atque inde longitudo penduli tripedalis, ad
<
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ſecunda ſcrupula, ut antea, calculo prodibit.</
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<
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">PROPOSITIO XXVI.</
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">SPatium deſinire, quod gravia, perpendiculari-
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ter cadentia, dato tempore percurrunt.</
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<
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<
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<
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xml:space
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">Hanc menſuram quicunque hactenus inveſtigarunt, expe-
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rimenta conſulere neceſſe habuerunt; </
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>
<
s
xml:id
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xml:space
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">quibus, prout hacte-
<
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nus inſtituta fuere, non facile ad exactam determinationem
<
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pervenitur, propter velocitatem cadentium, ſub finem mo-
<
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tus acquiſitam. </
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>
<
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xml:space
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">Ex noſtra autem prop. </
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<
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xml:space
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">25, de Deſcenſu
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gravium, cognitaque longitudine penduli ad ſecunda ſcru-
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pula, abſque experimento, per certam conſequentiam,
<
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rem expedire poſſumus. </
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>
<
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xml:space
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">Ac primo quidem ſpatium il-
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lud inquiremus, quod unius ſcrupuli ſecundi tempore grave
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præterlabitur; </
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>
<
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xml:space
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">ex quo quælibet alia deinde colligere lice-
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bit. </
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<
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xml:space
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">Quia igitur penduli, ad ſecunda ſcrupula, longi-
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tudinem diximus eſſe pedum Horariorum 3: </
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>
<
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xml:space
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">tempus au-
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tem unius oſcillationis minimæ, eſt ad tempus deſcenſus
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perpendicularis ex dimidia penduli altitudine, ut circumfe-
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rentia circuli ad diametrum, hoc eſt, ut 355 ad 113: </
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>
<
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">ſi
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fiat, ut numerus horum prior ad alterum, ita tempus unius
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ſecundi ſcrupuli, ſive ſexaginta tertiorum, ad aliud; </
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>
<
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xml:space
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">fient
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19″′ {1/@0}, tempus deſcenſus per dimidiam penduli altitudinem,
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quæ nempe eſt pedis unciarum 18. </
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>
<
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xml:space
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temporum, ita ſunt ſpatia illis temporibus peracta, </
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