Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XIX.
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dendo poteſt percurrere diametrum AB ; </
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nem duplam longitudinis penduli: </
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<
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ſcendet per chordam BF ; </
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<
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xml:space
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">in tempore ergo integræ vibr
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nis, corpus cadendo poſſet percurrere quatuor diametros ; </
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longitudinem octuplam longitudinis penduli. </
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<
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ſus & </
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<
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">adſcenſus per omnes chordas fiat in tempore æquali, o-
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mnes vibrationes per chordas, ſive magnas, ſive exiguas, ſunt æ-
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què diuturnæ. </
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<
s
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">In vibrationibus exiguis harum durationes, dum
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in circulo movetur corpus, cum durationibus vibrationum in
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chordis conſtantem rationem habent, nempe quæ datur inter
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circuli peripheriæ quadrantem & </
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<
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penduli vibrationes exiguæ, licet inæquales, ad ſenſum ſunt
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æque diuturnæ.</
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<
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.</
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dem temporis momento dimittantur, eodem tempore per-
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fig. 3.</
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venient in B & </
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tinuabunt per arcus PBF & </
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pore.</
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<
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">Hæc autem æqualitas plenius explicanda eſt, & </
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brationes in circulo ad vibrationem per chordas quam dixi
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rationem habeant.</
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">Rotetur circulus FEBſuper lineâ AD donec punctum B
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in A ad lineam hanc perveniat; </
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fig. 4.</
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bit curvæ portionem BPA: </
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portio B| D deſcribitur, totaque curva ABD vocatur Cy-
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cloïs, circulus FEB generator dicitur.</
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<
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">Dividatur in duas partes æquales in B, portioneſque BA
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& </
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ctum vero B cum punctis A & </
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</
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flectantur, ita ut filum penduli in C ſuſpenſi, motu ſuo vi-
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bratorio, ab utraque parte ſeſe laminis iſtis applicet, & </
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dem curvaturam cum iſtis adipiſcatur. </
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tudine penduli CB, corpus P in vibrationibus ſuis deſcri-
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bet cycloïdem ABD, ut in ſequenti ſcholio 3° </
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