I 



44. mVESTlGJTlO CVBJ^AR, QVAE EVOLVTAE 



integrale completum erit hoc 



\bi notnndnm cfl efle fin. A Ittiz:- j fm. A | tt ih 7 i cof. 

 AiTTzzl etcof A. |7ri=:-^ 



§, 59. Ponnmus nunc vrz^ fen hanc contemplemur 

 aequationem d*sz:imsdv* ^ ac primo fit 4i^'zi:o, erit 

 g:=f^ hzzo^ et »2=:/4 /vnde /fit izzC^-^'". Deinde 

 fit 4 z:; =: TT feu w—\i: erit ^ =:/ cof. A . i tt et ^ — / fin . 

 A.iTT, atque mz='-j* vnde fit izzC^^'^'^^-^- ^ ^^10. A 

 (y 17 fin. A. 5 TT -f- ^ ) hanc enim formam priefiat ad- 

 h;bere quam alteram , in qua infuper cofinus arcus b 1; 

 occurit. Tertio fi ponatur ^ivzz 2.1: Cq[i wzzlIiz erit^zr/ 

 cof A?7r:=zo; h zzfCm. A-ii:z=fct m—J * , vnde fit 



^--^Cef^ cqj-.A^Tr ^jj, A (fv fin. A I TT -1- (? ). Qiiarto fi 

 ponatiir 4 <::? ~ 3 tt feu w 3= | tt , fit iterum 



mz=.-J* et ^^^^^^^''"^''-^-'^^'^fin.Af/^fm.A .|7r -!-(?). 

 Ex hisjgitur colligitur huius aequationib ^^j-zz — J* j ^«y* 

 integrale completum hoc : 



s =:C^^^ -I- D./^cq/-.A-7r fin^ A(/^fin. A.|7rH-(^ )-f-E^--^^ 

 Alterius \ero aequationis huius d^^s ~ — J* j ^i;* 

 integrale completum erit hoc : 



s zz Qef"'''S.^^^^ fin. A(/^fin. AittH-v) -I- 



D e^'' ''S- ^'^^ fin. A (/c fin. A 1 7r -{- ^ ). 



§. 70. Non opus efi:, vt iiaec vlterius profequ&miir^ 

 ciTm tam ex his f()rmis quam methodo ipfa iam pateat 

 lex progreflionis, Habebimus igitur generalitcr huius ae- 



quatio- 



