262 BORENIULUS 
eritque 
de [(R4’ + mm’) x + kil Æ mn'] DS ELCAkSs + mms)x + klg Æ mns] 
VAZ + m2 VA2 LE m2 
B _ @E@em! — mk')x + kn! — ml] a. e[(kms — mky)x + kny — ml] 
ai VA2 + m2 Fe: VA2 + m2 
= (AK mm) x + AU + mn Pa (kk4 ka + mms)x Al + mns 
V1+ 42 + m2 À V1+42+ m2 
__ e(Ak" + mom’) re e(Xk4 + mms) 
SE Vk3 + m3 LT Ls/pn 2 
+ m 
B— o(Æm — mk') ARE e(Æmy — mk;) 
an ETES y 
+ m 
Aequatio vero antecedentis $, cum sit, id quod substitutione valorum facile 
probari potest 
DA FA DC CD + AF= TES 
Es Be "PB PE 1 she culs 
er 1 LEE TS 
PEN = PC ten ob fls"s 
1 L GERS 
abibit in 
v'(d Cos u — eSinu V1 + À? + m')— v, (a Cos u — 8 Sim v V 1 +4? + m°) 
ae — Bô TT “ de (e— B;) Cos v 
ES ser dir TP) Sin v ] FE rPnRs V1+A24 m2 
; D 6Sinv—,eCosvy m 
HV En —(aSinu+8Cosu) Emi SEINS 
+ (0 Sin v He Cos v V1 E Æ + m°) see Es Eur En — = 0; 
eruntque igitur aequationes quibus determinabuntur 4, æ et v ut functiones 
quantitatis g 
d'h(8Cosv — eSinv V 1 +4? +m°) + dg(aCosv—BSinvV 14m?) = 
dx(d Gosvu — eSinvuV1 + #? + m°) — dg =; (e7—8:)Sin | = 
! 
