140 DEMONSmJTlO THEOREMATIS 



II. Si / et ^ fmt datd , erit : 



_ hbq^f {bb—fn b b — n ff) ^bbfi/jb b -^ g q ) {b b ~ ngg) 



P b* nffqq 



i//; / * *N 6V(6 b -^fj) {bb-^qq}-i- bf q Vib b — nf f)[b b^nqq) 



y{b b'pp)^ b^^ir^jTi ■ 



tVA/ *.^n b^Vjbb^ nff){bb~n qq) -t- nbfqVlbb^ff){bb — qq) 



III. Si p et ^ fmt data , erit : 



- lbqy {b b —pp){bb-^ n p p ^ — bbp ^/ ^b b — q q\{bb — nqq) 



J b* nppqq 



t/n / JX\ b ' ^/{b b — p p){b b ^ q 1) -^ b p q -^ {b b ~ n pp){bb — nqq) 



y{bb-jj)^ b^—'nppl[7i 



-WfLL „ir\ b ' ^f{b b — n p pyb b ~ n q .fi-h 'L b p q ^/{bb ^p p ){bb--jqj 



r {& '- fijf ) ^* nppj^ 



Hae autem fbrmulac omnes ex hac na(cuntur : 



o——b^ff-{-b*pp-{'^*qq-2bbpqV{bb-ff)ibb -nff)-nffppqq 



quae adeo ad hanc rationalem, in qna /,/), et ^ aequa- 

 liter infunt , reducitur : 



o-b\ /♦-f-p*-f.^*)-j-4(«^- 1 )hffpp qq-^b^[ffpp-^^ffqq 

 -tppqqJ-znbyfppqqiff-^pp-^-qq^+nnJ^p^q^ 



Coroll. 2' 



23. Harum formularum igitur ope , (i trium 

 pundlorum / p et q data fint bina quaecunque, tertium 

 inueniri poterit , vt arcuum A/ et pq difFerentia geo- 

 metrice fiat affignabilis : Erit enim 



Aic. Af- Atc pqzz Aic. Ap - Ai[c.fq —%l^, 



Coroll. 4. 



24 Denotat autem b femiaxem ellipfis CB , et 

 pofito altero CAzza, fecimus ^^j~^n', vadefi»-o 



ellipfis 



