C 15 ^9 ) 
Ccgrales per Metbodos notiffimas immlmiut x-i=:: m 
%/ a' — IP \ 
£x<f^^/>. 4. fnveiiire Gurvam xqmkm ParaboJx Cubicali 
mjus acquatio fit 3 ^ * sz=zw K Unde d — ^^/^^ 
& proinde dy=i V^a^wT'TlP^ 2mdm dz^m^ dz' ; 
VD * d IV 
Uc hsec fit fummabilis affumatur mdzz=z ^ — Undc 
n> ^ dw — . 
dx = <f — " V 3 + 4 ^1 Quarum intcgraks 
per Mcthodos vulgo ootas funi; «? jjr-? ? 
3 -^44% 
Ex aliis infifiids valoribus quantitatis mdz debiteaffumptk 
infinitas invenias Ciirvas datse ^quales. Tu vero, w Eru- 
dit 'iffme^ facile percipias hoc Probkma aliquam habere cuiii 
Probkmate qaodam Diophantseo afEnitatem : Problema Dio* 
phaoti eft, dividere fuaiinam duomm Qiiadratorum in duo 
alia quadrata^ quomm latera fint rationalia 1 & Probkma 
Bernoullii eft, dividsre iummam doorum Qciadratoruofi in 
alia duo Quradrata, quorum latera fint fymmabilia. Sicut 
Pfobleoiatis Diophantm folutio a vulgari fant&m Algebra de- 
^nd^t^ (\c B€rn0ulkani Probkmatis (blutio communes tan- 
turn Fluxionum Methodos inverfas requirit % utriu% art^fi- 
Cium in debits laterum quseficoruiB slfumprsone confiftit ; fell; 
Biophantmm ut fioE rationaliaj Btrnoullianmn ut fint fum- 
mabjlia* 
