CIECA SUPERFICIES CURVAS. 
251 
etc. sive 
/ — /°+y> +/>P ~h etc. 
9 =9°-\-9P+9"PP- i r etc. 
h — /¿°-j-Jip-}-ii'pp-f- etc. 
n = i-\-fqq+f'pqq-\-f"ppqq-\- etc. 
+^V -\~9P ( f + etc. 
-f-/i 0 ^ 4 -J- etc. etc. 
24. 
Aequationes art. 22 in casu nostro suppeditant 
d r , 
ftsin<j> = 
d p ’ 
dr ^ i dcp 
-j—, —W COS ([) = m. 
djp’ 
sin ^ 
dtp 
= m.ji 
dq 
/drK 2 . ,dr N 2 
nn = nn[ Tj ) +(^). 
d r d<p . dr dcp 
nn -dr q 'd¿+dp-ár P — ° 
Adiumento harum aequationum, quarum quinta et sexta iam in reliquis continen 
tur, series evolvi poterunt pro r, cp, <[», m, vel pro quibuslibet functionibus harum 
quantitatum, e quibus eas, quae imprimis attentione sunt dignae, hic sistemus. 
Quum pro valoribus infinite parvis ipsarum p, q fieri debeat rr = pp-\-qq, 
series pro rr incipiet a terminis pp-\-qq: terminos altiorum ordinum obtine 
mus per methodum coefficientium indeterminatorum*) adiumento aequationis 
1 drr N 2 , /drn 2 
(« *'d^) +(d^) ~ ArV 
dq 
[1] rr = pp + $f 0 ppqq-\-i/yqq +(l/“A/ # /V?? etc - 
q*+ j t9'pV 
+ №—t*/°/°)PPÏ 
Dein habemus, ducente formula r sin ÿ = ^^, 
[2] rsinij) =i> — — ifppqq — (+/"+*/°/°)/?i etc. 
\9PPT 
(+A°-A/ 0 /°W 
*) Calculum, qui per nonnulla artificia paullulum contrahi potest, hic adscribere superfluum duximus. 
40 *