MOMENTANEA AXIS GYRATIONIS A &c. 2Z9

cofA =

cof£

cofu —

cofy

f* r /e

cofy co fx

finA - ; ./> - —

JOt J b

cofy cof«

tangA — -; tang/x

cofy = —

cofi»

fy

cofC

/V

erga

cof£

cof<\

; tangy =

cof£

cofos

ideoque tangA tang^ tnngy =. 1 5 quae efi relatio inter ternos angulosA» /u, v, ex quibus arcus u, §, y ita definiuntur, ut fit:

tangv cotjw „ tangA coty

tangas —

cofAtang fx

fin A 3cot A

tatigS’ =

cof,

f*

fin

ix

tangy

co fy fin v

His relationibus notatis ex datis BAOniuntur, ut fit

A et AO = os reliqua fic defi-cof£ = fin» cofA; cofy = fin«/A; tangat =

cot«

fin A

tangy

= tang« cofA.

Quodfi jam ob vires follicitnntes tempufculo dt axis gyrationis IO abeatinio, totum corpus, qua fi interea circa axem Io ellet gyratum, cotifi-derari potefi, quo motu puncta A, H, C, fuas difiantias a puncflo oconlervabunt; ita ut elapfo tempufculo dt, polus gyrationis o a polisprincipalibus A, B, C, habiturus fit difiantias Ao, Bo, Co. Quare fidetur angulus elemcntaris OA o = a?A, et Ao = as + dec, variatio reli-quorum per differentiationem confuetam elicietur:

dxfafx - d«cof« cofA

a b — - -r— -—

i fin 6

— d\fct cofA — det cof «/afin y

— dxfk — dhfct cofascofA . ^ __ dx cofA — dh fx cof«/A .

cof os* -j- fx z fh z ’ cof« 2 +/«*

dy ~dfx~

cofA 2

in cor-

C O R 0 L L. 1.

6?y. Si ab his differentialibus ad integralia progredi liceret, ... ^ u .-pore ad quodvis tempus ille axis, circa quem tum fit gyraturum, ejusquepofitio refpecfiu axium principalium aflignari poflet.

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