QVADRATrRAS COMTJRANDL iii 



vertice pnraboke A nnngis ftjerit remotum, quim puii- 

 £t\im e\ <ontra autem arcum pq proditurum effe mi- 

 norem. Ac fi qiiidem fit pT~o, erit Arc. ef— Arc. pq 

 zzef(jy{i-\-ee)-eVit-{-ff))-^ minimus autem' omnium 

 arcus pq euadet, Ci cdpkiur pzz-y'i{y{i-\-ee){i~\-ff) 



-ef-i) et ^—+Vi(V(i -4-^0(1 -i-#) -^/'i) tutn- 

 que erit : 



AK.ef-Axc pq — \{e+f){y{i H-/)-V(H-^f)) 

 Arcusque pq vtrinque aeque circa verticem A erit 

 difpofitus. 



Problema ^. 



74. Dato arcu parabolae ef a pundlo dato p Tab. 11. 

 abfcindcre arcum pz^ qui fuperet datum Multiplum ar- S' ^* 

 cus ef quantitate geometrice alfign^ibili. 



S o 1 u t i o. 



Pofito parabolae latere redo = 2, fint in verticis 

 tangente ablcifilie datae AE — ^, AF~/, et AP~p; 

 tum capiantur abfciifae AQ_~^; ARirr; AS::r:j^ 

 ATzi^; et vltima fit AZzz 2;; quae ita determinen- 

 tur , vt fit : 



pn" m n "L-^Jl - ^ ^ n) __ /- 4- V (^ -^ff) 

 riiUJU ^^y(, _^pp^ — e^V(i_^.eO 



eritqiie ex §. 71. / 



Arc pq- Arc. ef zziqy{i-\-qq)-'^py{i^pp)-ify{i^ff) 



-\-'^ey{i-\-ee). 

 Deinde ex pundo q fimili modo definiatur pundurti r, 

 vt fit : 



' ••-t-V(f+ -rr) /-t-V(i-f-//) r r-t-Vd-t-t^r) /' /-t-V( i-H//)\a 



5-+-V(i-hi'2) «H-V(i-+-e«?)) *^^^ f-*-V( i+Pi') ~^' *^e-j_V(i-|-ee)/ 



eritque 



