# Full text: Musschenbroek, Petrus: Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes

INTRODUCTIO AD COHÆRENTIAM momentum = arxx. quod ponatur æquale momento dimidiati
cylindri { 2 /3} ar 3 . utraque quantitate diviſa per ar, remanet {2/3} rr = xx. unde {2/3} r. x: : x. r. cum igitur A O ſit = x, mediæ proportionali
inter {2/3} r & r. habebit parallelopipedum A B C K O idem momentum
gravitatis, quod dimidiatus cylindrus.

Corol. 3. Si, adb, fuerit chorda circuli, cujus arcus, a E b, vo-
cetur {p/e}, & chorda, a d b = c. etiam cognoſcetur ſinus verſus
dE, qui ſit = k. ductis rectis D b, Da, erit Sector circuli D b E a
= {pr/2e}. ſed Triangulum D b a, eſt {1/2} cr - {1/2} ck, quo ſubducto ex Se-
ctore {pr/2e}, remanet area, a d b E a = {pr/2e}-{ 1 /2} cr + {1/2} ck, quæ
multiplicata per B C = a, dabitSolidum a d b fe a = {apr/2e}+{1/2}ack-{1/2}acr. Centrum vero gravitatis in Segmento b Ead, diſtat a centro D, in recta
D E = {cek. /3p-3ce} adeoque cum Dd ſit = r-k, diſtabit â d quan-
titate {cek/3p+3ce}-r+k, quæ diſtantia ducta in magnitudinem ab d E e f,
dabitmomentum ex gravitate ={apr/2e}+{1/2}ack-{1/2}acrX{cek/3p-3ce}
{/-r+k. }

## 534.PROPOSITIO LV.

Tab. XXV. fig. 10. Sit parallelopipedum, conſideratum abſque
gravitate, ope diagonalis bifariam ſectum in duo priſmata, quo-
rum unum ſit C A B M N, cujus latus unum A M horizonti paral-
lelum ponatur, baſis C A B muro, ad horizontem perpendiculari,
affixa, pondus, æquabiliter ſupra latus A M diſper ſum, habebit ad
Cohærentiam baſeos A B C eandem rationem, quam pondus incum-
bens parti a M, habet ad Cobærentiam ſuæ baſeos, abc, ubicunque
baſis, abc, ponatur.

Concipiatur fluidum grave æquabiliter impoſitum plano A M ad

## Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.