Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
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CORPORUM FIRMORUM.
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gulum in B, & </
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horizonti parallelum, angulus ſolidus C C ſuperior, erit Cohæren-
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tia ejus reſpectiva ad eam parallelopipedi baſin A D B C duplo ma-
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jorem habentis, uti ſumma omnium quadratorum linearum f f,
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g g, h h, i i, B C perpendicularium in latus A B, ad ſummam
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omnium quadratorum A D, f F, g G, h H, i i. </
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<
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">Sit latus A B diviſum in partes infinite parvas A f, f g, g h, h i,
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i B: </
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">concipiantur ductæ ex his omnibus punctis rectæ f f, g g, h h,
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i i, B C, perpendiculares in A B; </
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producantur rectæ uſque in F. </
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<
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">erit Cohærentia rectæ
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f f in Priſmate, ad Cohærentiam rectæ f F in parallelopipedo, in
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ratione duplicata altitudinis f F ad altitudinem f F per Prop. </
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<
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">eodem modo erit Cohærentia g g ad g G in ratione duplicata g g ad
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g G, atque ita porro comparata erit Cohærentia aliarum rectarum
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h h, i i, B C in Priſmate, ad Cohærentiam g G, h H, i I, B C in
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parallelopipedo A D B C. </
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rectarum f f, g g, h h, i i, B C, ad ſummam omnium quadratorum
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A D, f F, G g, H h, I i, C B, ita eſt Cohærentia reſpectiva Priſma-
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tis Trigoni, ad Cohærentiam parallelopipedi, baſin planam A D B C
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habentis duplo majorem.</
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tervallo remotæ complent integrum Triangulum A B C, veluti eæ-
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dem productæ uſque ad D, F, G, H I, C complent Quadratum A D
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C B, quare erit Cohærentia Triangularis baſeos A B C, ad eam Qua-
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dratæ baſeos A D B C, uti quadratum Trianguli A B C, ad quadra-
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tum quadrati A D B C. </
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drati A D B C, ſive uti 1 ad 2. </
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baſeos A D B C, uti 1 ad 4.</
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ferne ponatur, & </
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ſpectiva eadem Priſmatis A B C.</
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