(77) 



lus Cj) =z tang. w — w. Ad has formulas conftrnendjis centro 

 A, radio hC:zza^ defcribamus circulum, in quo capiamus 

 CR-«tang.aj, cui aequalem fumamus tangentem circuli RM, Tab. I. 

 ita vt fit RM — fltang. co, vnde ducfta refta AM, ob ARrfl Fig- 5- 

 euidens efl: fore angulum RAM = co, hincque ipfam redam 

 AM — -1— , flcque haec reda AT.I aequatur noftrae lineae 2. 

 Praeterea vero cum fit angulus CAR ~ ^ — tang. u,' fi an- 



gulus M A R r co ab eo fubtrahatur, remanebit anguhis C A M 

 ir: tang. oj — oj, ideoque C A M — <$), iicque pundum M rc- 

 Tera erit in curua quaefita , quam ergo ob M R ~ C R patet 

 generari ex euolutione arcus circuli C R, quae eft prior folu- 

 tio initio commemoratar 



§. 9. Altera vero folutio petenda efl; ex aequatione 

 differentiali ^Vnzo, fiue 



cuius integrale dat p -\- Y {a a — 1 1) rzi c. Quia vero eft 

 t zn]/ {zz — p p) , erit }/ {a a — 1 1) :=.]/ (,a a — zz -^-pp)^ 

 ficque aequatio noftra crit: ^/(aa— zz-hpp^^c — p; fum- 

 tisque quadratis aa — z z ■=^ c- c — ^.cp^ vnde deducimus 



jy c c — aa-t-gg 



* "~~ 2 c 



Modo ante autem vidimus, pofito angulo C A M zn Cf), effe 



* zzd(P . 



quare fi breuitatfs gratia ponamus cc — aazi^bb^ erit 



:c % z 'd<^ 



z=zb b -\- z z, 



y i <^ a-' -+- z z j cp2 

 ex qua aequatione elicitur: 



g ^ (b & -f- g g) 3 z 



' zj/[4CC2» — (6 &.+-az)']' 



quae aequatio, quantumuis pcrplexa, tamen praeter clrculos 



K 3 nuUas 



