CVRVARVM ALGEBRAICABVM, 197 



CircuU vel Hjperbolae^ nempe a qUcUlratura Circuli, fi 

 b habeat fignum negatiuum ^ et HjferboJap ^ fi habeat 



-P (3 



affirmatiuum ; adeoque cum fit M (rr .ra^— p^ja^— (3>) 

 rr.v^j/ ^ , fi R fignificat arcum Circuh, cuius radius 

 ^, et fagitta m.z:ix^y ^\ ^tt Jjdx = {^x^y ^-H 

 ,m)VN-fl^|, exiftente N^^iV (^-^aV^J, 



Sin vero b fit coefficiens affia-matiua : ad axem CB Tabuia xjit. 

 €onfl:ruatur Hypcrbola aequilatera BD, cuius latus trans- *^' "^" 

 uerfum fit AB — -J, et eapiatnr abfcilHi BE( — Mjnr 



x^y ^ , dudaque femiordinata ED, dicatur fedor CDB 



— S, tnt fy(fx'^'f^^^x'^j~'^i^}-'' -I y. {a-\-bx^y '•J')^ 



ExemplLUTi 2. 



XII. j5 — «a'^-h-Z'vx-°>'~'^., Smt. ergo wzz»- 

 =:3,^=r20,r— 13, adeoque azr^, (3=r|7 ,'y— ^^, ^ 



^n:l|, hiac yi{-=za-\-y)-^, e C^r (3-f- ^):r: J° 

 = 2-+-i;, adeoque Ti^: 2, et^zz^; X — ^. Ex hisce 

 autem. inueniuntur M — a*' V~' % N ( — ^-h/^M } — ;« 

 -h/J.v' V' % nec nonEzr-^, F( — Azr^, adeoque 



V(zrENi-hAN2):z:(|^x' V~'^-i-45«)N^; 

 adeoque jO ^.v ( =: M^ V -|- (^-i- 1 j A^R) — (,j b^x ' >" ' » 



^9t.^w"Tj,-Vn--}-"1R. SitSrr/-— ^ _, 



erit R:rry(<?M-i-^MM)-h^tfS, fietque j>^;»; feu 



Bb 3 u^-d. 



