Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XXIX.
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libus ponderibus tenſis; </
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">hæ æqualibus ponderibus æqualiter
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inflectuntur , & </
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agunt gravitates, quæ ſunt inversè ut quantitates materiæ
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in chordis , id eſt, ut quadrata diametrorum; </
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<
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iterum invertenda eſt ad habendam proportionem quadra-
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torum durationum vibrationum ; </
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<
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">Ideo diametri ipſæ
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ut durationes.</
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<
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">Datis chordis ejuſdem generis quibuſcunque, vibratio
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num durationes ſunt in ratione compoſita, ex ratione inver-
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ſa radicum quadratarum ponderum, quibus chordæ tendun-
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tur , ratione longitudinum chordarum , & </
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<
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metrorum . </
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<
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dividendo productum per radicem quadratam ponderis,
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quo chorda tenditur, ſi pro variis chordis eadem operatio
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inſtituatur, quotientes diviſionum erunt inter ſe ut vibra-
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tionum tempora.</
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<
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">Lamina elaſtica pro congerie chordarum haberi poteſt:
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quando lamina inflectitur, fibræ quædam producuntur, & </
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productiones inæquales ſunt in diverſis laminæ punctis, & </
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ex iis, quæ de chordis dicta ſunt, curva, quæ a lamina in-
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flexa formatur, detegitur.</
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<
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<
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">Comparando inter ſe varias ejuſdem laminæ inflexiones,
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hæ proportionales ſunt viribus quibus lamina flectitur. </
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<
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fig. 5.</
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lamina AB, cujus extremitas A fixa eſt, duabus inflecta-
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tur viribus, quibus perveniat ad ab & </
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alterius dupla, bb & </
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brationibus motus laminæ eodem modo acceleratur ac
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motus chordæ , & </
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næ .</
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<
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5.</
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cæ B inſeritur, ibique ad latus utrumque movetur inter re-
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fig. 6.</
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gulas cd, cd; </
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& </
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dus ſemi-libræ filis appenditur, & </
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ſemi-pollicis; </
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