144 Opuscula. 
C^c:C::\/A'. f; ighurA = ^^r'-» Qiiare xquatio fiet 
— d s , Facile eflet redigere primam acquatio- 
ms partcm ad multiplum arcus circularis , cujus radius 
— £jZ/ |.j & fmus =r : verum ut eumdem retineamus 
num totum , qui antea , ita formulam diftribuamus 
c - 
r .dz, 
C — c 
__^—ds. Atqui prima pars aequationis exhibet 
t--^ ... c 
elementum arcus circularis , cujus radius r= r , finus = -^-^ z : 
c 
ergo integrando -^-3^» = S c . / , quiaquumz,, / debeant fi- 
mul evanefcere , fuperflua eft additio conftantis : igitur a 
Determinatio velocitatis eruitur ex formula u — —7-^ • 
a s 
Nam quum {\t x — s — (— ^ . S c . /, erit diiferentiando 
^;.:r=^/-(-^^Sc./:^^/-(-£^.^^-^; ergo fada 
(C — s 
—y- . CC . i-. 
Ex tribus aequationibus z r= . S c . r , x — s — 
^£^-L S c . X , « r= C — (^^7-^ . C c . j definiantur valores 
z, //, dum X aequat multiplum quadrantis — w 
c 
^ = r C 2C— c C c C ec 
Su- 
