# 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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