CENTRUM INERTIAE IN IPSORUM &c. ;6z

t prodit v = f(ee - +4$$ggtf)i tang 9 = 2 ^ s f g -

k ‘

X

— et - Y= ~~U~* Porrotan g| =

e {k - 2 igt)

"f

,? A, k/ ififgkt

tang(| - A) - —----

p ppnn

4 Mg> ,

Ofl& 0'

ee — zfigkt

-Sefgt

t a ng( ? + &)= a j, /g r‘

8 — / (ceElapfo autem tempore £ —

ff

■ i et w = k— tSg (i + —y tui

oa£

ff (*«jf +

2^6 (na +ff)

erit tangtp —

eaa

>

v —

— B — 90° et tang| =

e/

+/)

ee Qaa -f- ff) — fln/c£

od + ff— . gg( fl n +/)

/(ec — e e a a)

C 0 R 0 L L, z.

iaoo. Si angulus DZO= fesset = l go°, eaedem formulae motumindicabunt, fumta celeritate angulari e negativa feti motu gyratorio in con-trarium vei-fo. At fi fit e — o, feu globo folus motus progressivus fue-rit impreflus, fit k = e, igo 0 , v =. et cigt) <p — O, X — ^ (e —

§gt), Y = o; £=i8o°; Z- — 90°, L — -—; et elapfo tempore

aa

aae

t -

, itt v —

# _ __f/_ etX _ e* ( aa + 2/)

««+/’ 2 (««+/)

(aa+ff)

_ aaee (aa+2ff)

“ 4 4 '( fl «+/) z *

S C H O L I O N.

iioi, Cafusluc, (]uo globus initio nullum motum gyratorium eftadeptus, in genere valet, neque ad ullam hypothefin angulorum f et £efl adllriphis. Tum igitur globus in diredhim progreditur motu progref-fivo retardato , motumque paulatim gyratorium accipiet, donec elapfo

CIC 16 , » 1 *

tempore t = —- motum mmormem acquirat, quo demceps

*$g (aa+ff) , . . .

continuo progrediatur,. Hinc deducimur ad catum, quo globus initio mo-tum tantum gyratoriiyn acceperit fine ullo motu progressivo, cujus evo-

Bb bb 2 lutio

i

s