}i8 Opuscula Posthuma. i3.
IJ f accy by-\-abc — ab ,
^ ^ ccy—y-\- bc ~ a >
vnde patet etiam quaefitum.
Nunc, ex prima figura, quaero duos alios focos curvse inventae, qui Tint G & H, & fumo
G E "^ g + cy — dy, H E =o /r + y + dy, 5
GD=o^-x, HD=oA-x,
vnde quaero x vel DC, & fit
HP -« »<rr +rr + »c^rr — c^yy 4- igdy — igcy + ^hdy 4- 2/ij -
quod sequatur priori DC, nempe
DC =» "rr-rr + »y- + 2&cr .^
& primo facio aequationem inter divifores, nempe
g ^ a + b + h,
deinde aequationem inter terminosjj, & denique in- ter terminos j, & habeo J^ txt? fiquidem c fit major vnitate (d ^ c — i, hoc eft differentia quse efl inter i5 proportionis terminos), ac deinde
^ ^ ^ ^.c + a.c+^^c + 2a + _. ^gj jj^^^ (.jij^
& linea HE ^ "cc + ^ac + .jc^ + ^a + b _^ ^^^
& linea GE - cc + 2bcc + ^ac + .bc + a _^ ^
N. B. — CG - ei±^A^^ CH - '-^^4:^', & tune ûx GH ^ a + b.
Si a & A fint sequales, fit ^ ^ TTT "^ ^•'-
�� �
