Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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PHYSICES ELEMENTA
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in eadem ſunt ratione cum lineis cB, cB, CB. </
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ideo C verſus B & </
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aut CA proportionalibus; </
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<
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xml:space
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<
s
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xml:space
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">vis qua chorda inflectitur, cu-
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jus directio eſt per c C, duplicatæ ſagittæ rationem ſequi-
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<
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xml:space
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tur , & </
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<
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xml:space
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">eſt ut ipſa ſagitta. </
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<
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xml:space
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">In omnibus ergo chordæ
<
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juſcunque inflexionibus minimis, ſagitta creſcit & </
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<
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in eadem ratione cum vi qua chorda inflectitur.</
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<
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2.</
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<
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<
s
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">Chorda AB, pondere quocunque tenſa, inflectitur pon-
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xml:space
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">679.</
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deribus unius unciæ, duarum, & </
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<
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fig. 2.</
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ſus puncti g, id eſt, ipſæ ſagittæ, ſunt inter ſe ut unum,
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duo, & </
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</
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<
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<
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">In chordis ejuſdem generis, craſſitiei, & </
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<
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">680.</
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ſed diverſæ longitudinis, productiones, quæ ex ſuperadditis
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æqualibus ponderibus oriuntur, ſunt inter ſe ut chor darum
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longitudines. </
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punctis ſit æque tenſa; </
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dupla productionis dimidiæ partis, aut chordæ dimidiæ lon-
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gitudinis.</
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</
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<
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<
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<
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AB, ab, chordæ ejuſdem generis & </
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<
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fig. 4.</
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longitudinis, æque tenſæ & </
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illius; </
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milia: </
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<
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ut CB ad db; </
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<
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nes producuntur, & </
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nes bd, ad, BC, AC trahuntur ; </
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<
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autem triangulorum ſtatim memoratorum vires etiam juxta
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cC & </
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<
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Dd ſunt ut chordarum longitudines; </
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<
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paribus, in chordis inæqualibus & </
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net.</
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<
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3.</
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<
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Priſmatibus H, H, ab utraque parte ad ſextam diviſionem;
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<
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fig. a.</
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inflectatur pondere quocunque, ita ut ſagitta ſit ſex </
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