Si v|^ :r: o erit — o et c? rr: o, 500. a 



v|y zn 66° 4.5'' . . (|) — o . . ;s ~ 3,209.5 



^^/-zzzSc, cs ..Cp— iSo" ..j^ — 18,228.5 



v|/ = S3i 5- . . (J) :zr 360' . . z :=: +3, 802, a 



vjy — S5% 23 I . . z=: 540° . . ^ =z 77, 463. a 



•Curuac ii^itur iiiitium, ob primos anguli C|) vaiores ncgatiuos, 'p^j^ jj 

 formain iiabcbit C FH M in figura tcrtia cxprcflTam, \bi lci- Fig. 3. 

 licet AC=l.a; AF — a; A H =^3, 209. <?; A M zi: 7, 4.64. a 

 et anguli B xV F = — 32", 42'' et B A M = + 63°, 50^. 



§. ig. ExprciTiones autem illae pro angulo (P et di- 

 flantia z Ira funt coinparatae, vt baud ditlicuJter gcometrice 

 conllrui queant, id quod ita oftenditur : Centro A, radio 

 A E =: 5, dcfcribatur circulus DEF, isque ope fili, in cx- 

 trcmirate E niluin gerentis, euoluatur in curuam E R, cuius 

 radius oscuii in punvfio R crit reda R D circulum in pundo - 

 D tangens. Quodfi iam , ducla rc^fla AR, vocetur angulus 

 D A R zr: v^, erit rcda D R zir. 5 tang. vj./, ideoque etiam arcus 

 euolutus E G D zzza tang. vj; , confcquentcr angulus R A D — 

 tang. v|/. Porro ex R ducatur rcda Rl, circulum tangcns in 

 punc"to I, eritque etiam angulus lARzrvjy, confequcnter 

 D A I zr 2 v[y , vndc colligitur angulus 



BAIzrDAI — DAEiz:2v|y — tang. v|y, 

 idcoque B A I 1=: — 0. Bifccetur iam re(fla AR, in K, et ob 

 A R = fl fec. v|. = ^^, erit A K r ^-^_. Vnde fi ex pundo K 

 erigatur recla KY normalis in AR, quac recftae AI produ- 

 <ftae occurrat in Y, erit rccla 



AYz=:RY = -A^—=:. ' z=zz. 



COl K A Tf 2 COJ. vj/= 



Hoc igitur modo formulac ilhic pro conftrudione curuae in- 

 ventae geometricc funt aifgnatae. 



Koua ASla Acad. Imp. Sc. T. IV, P §. ip. 



