Full text: Gravesande, Willem Jacob: Physices elementa mathematica, experimentis confirmata, sive introductio ad philosophiam Newtonianam

919.
Velocitates. # Reſiſtentiæ # Reſiſtentiæ # Summæ # Reſiſtentiæ
exprimâcauſâ. # ex 2 2 . cauſâ # ambarum. # in Exp. 1. # 1 x 20 = 20. # 1 x 20 = 20 # 40 # 50 - 2. # 2 x 20 = 40. # 4 x 20 = 80 # 120 # 125 + 3. # 3 x 20 = 60. # 9 x 20 = 180 # 240 # 250 - 4. # 4 x 20 = 80. # 16 x 20 = 320 # 400 # 400 5. # 5 x 20 = 100. # 25 x 20 = 500 # 600 # 600 - 6. # 6 x 20 = 120. # 36 x 20 = 720 # 840 # 850 7. # 7 x 20 = 140. # 49 x 20 = 980 # 1120 # 1100

Qui tabellam hanc examinaverit, vix quicquam magis ac-
curatum in talibus experimentis poſſe ſperari, facile vide-
bit.

Conferendo hoc Experimentum cum primo , confirma- tur n. 912.

341.1.

908. 919.

Liquet etiam quoad reſiſtentiam ex ſecunda cauſa, hanc
in hoc caſu ſe habere ad reſiſtentiam globiejuſdem diame-
tri ut 26. ad 20 .

908. 919.

Ut nunc computationem ineamus de hiſce reſiſtentiis; ſunt
hæ inter ſe ut {2/3} v b ad ſemidiametrum baſis : ſi hæc ſemidi ameter dicatur 1. , erit coni altitudo 2. ; & valebit vb radicem
quadratam numeri 5 ; ſunt ergo reſiſtentiæ ut {2/3}√5. ad I. Sed in ſuperiori parte, ut in vertice conus ſuſpendi poſſit,
figura conica non ſervatur, quare reſiſtentia augenda
eſt.

341.1.

920.
916.
47. El. 1.

Ad latera foraminis per quod filum transmittitur, duæ
exiguæ dantur ſuperficies planæ, quæ ſimul circiter valent
{1/25} ſuperficiei circuli cujus diameter eſt bd, quare vigeſi-
ma quinta pars reſiſtentiæ coni augenda in ratione reſiſten-
tiæ coni hujus ad reſiſtentiam cylindri, id eſt, in ratione I
ad √5 . Sunt ergo reſiſtentiæ quæſitæ ut {25 x 2/3} √5. ad

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