Analysis slterficiei etc. 207 



4 a- R sen o 

 ■^ 8 a'^-H-U'-i-G a R cos o 



(4 «'-+- R'-+- 4 rt R cos o ) ^ 

 ~ 8 a--l- UM^G"all cos o 



in quibus posilo cos«=1 aut cos o = vel cos « = — — , 



rirculi obsculantis radius nee non ejus centri ordinalae eiunt, 

 pro puHClo C 



, 2«(2aH-R)' ' {2a^V.f_ 



*''""8«^-hR--+-C)«R'-^ ' ~8a-^H-R'-l-GrtR 

 pro puncto B 



2ai2a — V.) „ „, (2a — R)3 



X : 



,jr'=0, R'= 



•8a'-f-R''— GaR' ' 8«'-i-R-— G«R 



pro punclo b vel b' 



2rt(4rt''-HR-) 4«'R (4rt'-HR2)l 



x' — 5^ - r'= R'=- - 



8 « '_(_ Tx- '■' 8 « -h R^ ' 8 «^H- R^ 



pro punclo A 



4a'— IV- R|/(4^2_R2) i/(4rt?_R2) 



4 a 4 a 



Ad oI)linendatn nunc curvae evolutae aequalioncni, ope va- 

 loruni x',y' angnlum o eliminare oppoilet, sed liaec climi- 

 natio, donee quaeciiinque inter a el R relalio reiincuir^ efli- 

 ci nequaquam potest: sumplo vero 2 r/ = U , cum sit 



R ( 2 -H cos o ( 1 — cos o 'O R sen « ( 1 — cos o ) 



x'= , r = 



elitnluatio tunc anguli o locum habel, el Evolutae luijus pe- 

 culiaris eurvae, nempe Cnrcljoidis aequatio est 



^.._ ./ 2 { 3(GK.r'— G.r'^— R') j^R|/ 3R(3K — 4.r- \ 

 Formula 



pro curvae recli6calioiie praebet 



