ex proprietatibus Vartationis Curvatura. 405 
° e ° e VA i . 
Exempl. 2) (eit jam variatio curvature Teo erit 
i x 
Sf Td = — ty v= et pofita y= 
; : v9 se 
fecta integratione habetur 'y + of des —r -  TLheore- 


V oax+ x? PER 


matis itaque auxilio erit 2" (= Hei BPA hy 
; atxV 2axtx ~ y+ f Tdx ve ae? 
es e aie 
antes Fatione f= =e SF ea AG S= » fi vero arcus ille 
aLeV 2ax+x" 
conitans C=o0 ceteri funt zquales boinc finus et cofinus, 
ee V 2ax +x pax adx 
unde /1-p* a aL ae ty( SAS )=/FE=: 
gequatio indicans curvam effe catenariam. 


(TB EoOR © M Avy BY. 
Dicatur cofinus anguli BCD 4, pofito radio 1, cexterifque 
eee acl 
Vas Coe 
na dg 
Eft enim = “q> qua per /i—g- q- ‘divifa, dat 5 SS 
hie oe OD (i) .CG= RTP fed dz dy. 
Tdz : Tay cujus integrale eft AE= ft Tg, unde CG = 
AE — AB) = JI Tdy-x, quaproR /1—g* fubftituta, prodit 
ie 
S Taye Yi-¢ 
Cor. 1. Semper Tay —dx admittit perfectam integrationem, 


manentibus denominationibus erit 






WV T= 
Etenim Tdy= lay At Ct dues Las quibus Tdy—dx = 
aq Vi-¢ 
ddyVi-g _ _ay Ce ete Aa, eae 
Fug oy ae © ecg rations Pe Tay — oe 
Rrra Cor. 
