c* -+- e"" * 



EM = -^^[x-4-/(x2-i)J.--i[x~/(x2-i)], et 



quos binos valores aequales efTe fed oppofitos, cuivis patet. 

 Veritas horum ratiociniorum ex ipfa integratione patet (J. n.), 

 cuius ope noitram aequationem naSi fumus, in qua utrum- 

 vis fignum -±: radici praeponere licebat. Peifpicuum quo 

 que eft, five ftatuatur 



X =: l [f -h Y (y^ — i)], five 



x = l[y — V(f—^)]> 

 eundem pro / valorem refultare. Eft enim 

 e«_y — H-/(^_i), 



vnde fumendis quadratis utroque cafu reperitur/ 



2 



h. e. eidem valori ipfius y, nempe B M et D N duplex ab- 

 fciffae X valor refpondet , puta 



CB z=il[y-\-y(f -i)], et 



CD = /[7 — /(j^-i)], 



feu permutatis coordinatis , ad eandem abfciffam CE:=zx, 

 duplex ordinata y peitinet, 



EM=il[x-{-]/(x-~~i)], et 



E N =: / [X - ]/ (x- - i)] — - Z [X -)- / (x- - i)] , 

 vnde femper E N i= — E M , feu C E eft curvae diameter. 

 Ceterum patet, fi x << i, j femper fore impofTibilem. Pofito 

 autem x ~ i, flt j zz: Z i zz: o. Cafu x zz oo, pro figno (■+■) 

 eft EM~-|-Z2ooz=:-}-oo, pro figno (— ) autem eft 



EMiz: — lozz:4-oo- 



eodem modo eft 



E N zz -f- Z o zi: — ^ oo , et 

 E N zz: — l 2 oo zz: — ©o . 



Z 3 Am- 



