OBLIQUUM QUEMCUNQ. GYRANTIS &c. 615

tempore t =

aae

fit v =

•ff

2$g(aa oa+ff

at (oa+ 2ff) ciaee {na -s- ijf)

2 (a« +/)

4<te ( na +/)

8 —

*/

na +/

et X

SCHOLION.

tagg, Cnfushic, quo globus initio nullum motum gyraforium eftadeptus, in genere valet, neque ad ullam liypothefin angulorum f et he/i adflvidus. Tum igitur globus in diredum progreditur motu progref-fivo retardato, motumque paullatim gyratorium accipiet, donec elapso

tcmnore t — _^- motum uniformem acquirat, quo deinceps

i$g (aa -fijf)

continuo progrediatur. Hinc deducimur ad catum, quo globus initio mo-tum tantum gyratoriimi acceperit, fine ullo motu progreflivo, cujus evo-lutio efi facilis. Polito enim e = o erit k ~ e J fiu f, hincque fit lin^ = —cof(5 et cof£ = fm h, ergo ^ — h — 90°, ubi pro axe gyrationis initioiuiprdliie IO efl ZO — f et DZO — h, exiflente celeritate angulari iu fen-lum ZKTD — x. Elapfo ergo tempore t fit A = fcilicet fublato abungulo DZO =. h angulo redo PZO, erit PI diredio motus progrefiivi,quem globus acquiret, cujus celeritas erit v — i$gt, ideoque tempori pro-portionalis. Tum vero erit tang£ — o et tang(£ — &) = ao, ergo ob9 + b- 90° erit £ = 0 et D = 90°, liinc DZO = £+ 90* = £,

ita ut polus gyrationis O in "eodem perpetuo circulo verticali reperiatur.

f 4 sfg t fin f

Denique ex §. i 2 g 3 , e ft a fin/ = / ( ee finf 2 -‘—

aa

— e fin f-et a cofs — 5 coff, unde lit tangx

a" aa y

2 Sfgt .. - .

tangf-- —, ita ut arcus ZO diminuatur, mii tuent qua-

scta coff

4 sfg t fmf 4$WSPj t

+

drans vel eo major, et a — s —

Motus cutem ad uniformitatem reducetur elapfo tempore t

r f/(«* finf+(fl«,+ /) a ' cof R).

ntque tum a = —-— -

)•

aa+ff

v —

s ou/Tinf

'■dg( an +ffy

eaaf Jinfaa+ff

ct