BASI SPHAERICA PRAED 1 TOR. SUPER &c. 417

P = cof/— cof<f = —

deinde veroI fin £ 4 coi St

Scc cos», coi Z-

. r _I lin ? 2 cofScofSt Hu* 'na — cc) cof?cof£rcofj v /

Q — colhl COl fj =. -—-— --- 1 —-—

Scc coi $ S' (r -aau 1 )^ - ccn')

, — I fln ? 2 coi? cof^ H«' (na -rc' cof?cofi,cofj 1 '/'

r = coin - cof3 — -£-—-+ ;-- : —

Jwcofjj $‘(i-aau){i-ccn<)

,. n aa — cc — aacc

tibi e it-—-—7 —jZ TJT"*

(i __ acm') {1 — ccu') (na — ce) lm? coi ? 2

„ . ®S» cof», cofa # u _ §S'(aa - cc) (in cof?

VeMi ponamus I --—5-- ct ri —--—■——

lm? a

t an coi ? 4 + cc fin ? 2aacc

\f afg(aa cof ? 2 -f cc fin ? 4 )ac

— fin? 4 find'/

ponamus

ob u — - et «

cc

aacc

, ideoque F — ^ 2 — et S 1

erit x = n cofcc =

aa

y = L cof /3 = ^ /C °^ C0 - f?? - n -— + ©«T co0 fin St

CC

r QS' cof?cofi 9 -fin J'f ^ p r r .

Z da cofy = —---- ®S CO ftj fin

cc

p — cof/ — cof? — G fin?^ coi St

q = colwt - cof», — — G cof? cof» cofjf + cof^ cof S'tr = cof» — cosA = _ © cof?col& coi St — S)n' cos», cof^tquae formulae jam fine ulla difficultate ad omnes cafus accommodari pofiunt,

C O R O L L. ?.'

912, Haec integralia adliuc latius extendi poffimt, cum #, y, z etP, q, r partes conflantes recipiant; ac forma litterarum G et H mutata,habebimus:

x — cos?(E + © (1 — bfm) (l — ccu) fin F/ 4 H (1 — bbu*)(1 _ ccu 1 ) fin S't) t

y = cof», (E d-G (1 - anu'} (t - ccu) fin^ + -0 (J — actu*)(l — ccti J ) fin S't)

Z = cof 3 - (© + ©(c _ anu) (1 — bbu) fin St -j- H (i — aan 1 )(1 — bbu') fin S‘t)

v Ggg atque