f 



a et c valores tam exadc definire pueat quam Inbuerit^ valo- 

 res autem quas liipra airignauimus, iam tam pjrum a veritatc 

 dilcrepant, vt pro nortro inflituto abunde fufficcre pofHnt; 

 quandoquidem hic de eo tantum agirur, vt valores inuenti 

 calculum fubducendo comprobari qu^ant, quamobrem ad 

 alias iufienes proprietates huius curu:ie progrcdiamur. 



Problema III. 



Tab. II. Propo/lto iii curua elajfica arcu quocunque "? Q^ , a 



f 'S- 5- fun^o dato R abfcindere arcuin R S , qui ilU arcui ? Q_ Jit 

 aequalis. 



Solutio. 



§. 40. Quoniam igitur in curua quatuor putKfla 

 P, Q, R, S confideranda vtniunt, fint abfciflae iliis rc6- 

 pondcnrcs Cp—p, C q :zz q ^ Crzzr, C s z^ s , pro qui- 

 bns ponamus breuiratis gratia formulas irrationales 

 V(i-f) = ?, V{i-q*)i=(l, V(i-r*)=zK ct i(i-j*)r=S. 



His pofitis, quoniam arciis RS aequahs cfTe dcbet arcui 

 PQ, rcquiritur vt fit CS-CR = CQ-CP, hoc eft 

 © : s - (~) : r - Q : q—Q. p, cui aequationi vt pcr regulam 

 fupra datam fritisficiamus, quaeramus arcum : v, vt fic 

 & : v — Q : q ~ Q : p, et fccundum praecepta fuperiora elTc 

 debet v zz nP—cQ- vnde fit 



1 -f- p p q q ' 

 V(t By') V (■ — p g^u)_PQ ,-4- , p q[p p -^- tj q) 



Hoc iam arcu inuento effe debet U : s — 11 : r -\- 11 : v; 



qiiare pcr cadem praecepta fiet x — ^^ '^rW * ^'"cque 

 porro 



<;< (1 — r r V v) ^ V — irt>(rr-4-vt >) 



*^ - (1 -f- •. r V oi/ 



Sub- 



