GENERATIONE IN CORPORIBUS RIGIDIS. 247

/RIWM = ACTV+coiv/SO + B ( cof »i*+/»i a y^ # )+Ccor&*4 lD/jj CO C V COl' 3- 2 — 2E CoffJ fB C 0 f& 4 zVfyj fB Cof$fXYdM = __ A co [„»/& co(& - B fu* fB cofA 4 C fB cofA+2 D/^o^/aco^+Ecor^cof^ 2 -/^ 2 )- F/^coIS *-/B*)/XZdM. — A/n cntu co fB - fi AcofjjcofS 4 Dcof^cof-,; 2 — /j^ 2 )4 E fy/Sr + 1' coGj /S

quibus valoribus fubfiitutis binae aequationes inventae induent has formas:

I. — A cof>; /B 2 — Bcofjj-C co G) cof$ z —D f*i co/$ 2 4 E(i 4 cof>j 2 )

fB cofA — F fyj cofjj/ 3 - cof$ =r o

II. — A fin 3 - — B fin B 4 E cof>j cofA — F J\ cofA — o

_ , „ Ecofn_Ffiii>i ... r

quarum pofienor praebet tangS- = -—--- ; —. At Ii. coljjy^

— I praebet

B cof?j cofS- 2 4 C co fy; cofB z 4 D/jj cofA z — E fB cof$ = o,

(B 4 C) cof>j + D/fj

— -; Juncque tandetn

E

unde colligitur tangS-

* EE — (A 4 B) ( B 4 C)

g ’ ? (A 4 B) D 4 EF

AID = B atque adeo axis gyrationis ID innotefcit.

unde ambo anguli RIA = jj et

C O R O L L. 1.

633. Propofitn ergo vi quacunque R.r — V, cui fimul aequalis inipfo centro inertiae l contrarie fit applicata, fi per I planum ad direillio-nem vis normale ducatur PIR, atque ad id recta IQperpendicularis, histernis diietflricibus IR, 1 P, IQ^ pro quovis elemento corporis dM. in Zjfito parallelae capiantur coordinatne IX — ac, XY = y, et YZ — z, hiuc-que ex indole corporis colligi debet fequentes fex valores:

fxxdM = A, fyydM — \), fzzd M = C; fxydhl — E)',fxzdM = E; fyzdU = F,

C O R O L L. 2.

634, His inventis in plano RIP ad direftionem vis normali ex op-pofito coordinatarum XY — y pofitivarum, ien in regione negativarum

EE — (*A 4 B) (B4 C)

capiatur angulus RIA - n ut fit tangjj, - - (T4 B) D4 EF-'

quo invento fuper illo plano in regione coordinatarum YZ— L pofitivarum

eriga-