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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xml:space
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& </
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rentius ſequentem tabulam dedit in L’Hiſt. </
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<
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Latitudo. # Altitudo. # Firmltas. # Soliditas.
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12 # 12 # 1728 # 144.
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11 # 13 # 1859 # 143.
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10 # 14 # 1960 # 140.
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9 # 15 # 2025 # 135.
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8 # 16 # 2048 # 128.
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7 # 17 # 2023 # 119.
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6 # 18 # 1944 # 108.
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<
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a vi minima laterali facillime rumperetur, quamobrem certa requiri-
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tur latitudo reſpectu altitudinis, quam in ſequenti Propoſitione
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determinabimus.</
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facere parallelopipedum R S V T maximæ Cohærentiæ.</
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<
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xml:space
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">Sit baſis Cylindri circulus R A S V B T, cui ſit inſcripta baſis pa-
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rallelopipedi rectangula R S V T maximæ reſiftentiæ, & </
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mum, quod huic circulo inſcribi poſſit: </
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quæ ſecet A B in Q, ſit S V ipſius altitudo: </
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rari ut abſciſſa, quam voco x. </
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Triangulum rectangulum C Q S: </
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R S dupla ipſius Q S, erit = 2 rr - xx.</
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xml:space
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dratum S V per R S, ut habeatur omnis firmitas, dabitur 4 xx X 2
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rr - xx ſive 8 xx rr - xx.</
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<
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xml:space
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"> hujus valoris ſumendo maximum,
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habebitur {8dx X 2rrx - 3x
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/rr - xx} = 0. </
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quadratum Q S eſt = {1/3} rr. </
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.</
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:</
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& </
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