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Theoria motus corporum solidorum seu rigidorum ex primis nostrae cognitionis principiis stabilita et ad omnes motus, qui in huiusmodi corpora cadere possunt, accommodata / auctore Leonh. Eulero
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384 CAPUT XVII. PLENIOR EXPLICATIO

Ccc

(l -*’ p+ 'y) + zz)= +

y

yt/ + zz =

(Ccc - 4 fgp +/(B -

A aapcc

cc /

cc +ff-ffpp

(Ccc - 4 fgp)(i-pp)-cc(B-

(qz-nj)*=: cc+ ff-ffff~ '

Cum ergo jam has quantitates qy + rz, yy+zz etqs —rt/per folamp defini-verimus, fiatim prellionem n per eandem folam p ita rcperimus expreflam

2g"+/«« A ( B -— fccp{Ccc-4fgp +/(B- — a l\ \

n cc / cc J /,

M “ a g (cc+ff-ffpp ■ ig (cc+ff—rjffpp ) a

deinde vero etiam elementum temporis dt obtinebimus

dt -_ d pf (« yff-ffpp) _

\T (\.Ccc - + fgp )(i —pp) — cc (B — ^

ex quo pariter per /7 erit dx —

-*(B- ^« /

r - M

atque celeritas angularis g ita definietur, ut fit

C/c-4/«P+jf(B-—’Y

88=AA+ -:-—:-

n+ff-jrpp.

Ex 8 autem porro cognofcitur arens AO — «, ita ut, quoniam tempus t perp datur, quantitates g, «, p et A ad datum tempus nflignari queant, Deni-qflc etfi parum refert, nolle quantitates y et z fcorfim: tamen ex i ° et 2 ° fit

, A (aa — cc)(tjy + zz) . csYlfgdtzdq — ydz - dt -—-- (rz + qy) ideoq

cc

me

ydz - zdy ' A (na _ cc) dt

yy+ zz

cc

mfgdt (B _ —— (cc+ff-ffpp')cc y

(Ccc- 4 fgp +/(B- ^

quae