[ 2 95 ] 
—45 q z r* — lyotr* s\- 140 r 2 5 ^4-960 r z s ' 1 q-\- 1 875 
t r" 4- 1 000 t r s'" — 5000 f q s 4- 1 750 f a 1 4- 40 t r <? 4 
4- Ooo t r 3 q — 1650 trscqy w r 4- 36 r— 224 q ' s L 
4-320 q i 4 4- 4 r 4 4-27 r 6 — 40 r 2 4- 434 r 2 q r s ’ — > 
24 r~ s q 4 — 198 q s 4- 5000 / 2 s ' — 450 t r' s - — 6250 
V ^4-675 f q A — 3750 f q x s 4- 3000 f r 2 q-\-bo tr 3 q z 
4- 200 t r s z q — 3^0 t r q 3 syw 4-3125 f — 375° q r ? 
4-2000 s" q 4-2250 r ? \y — 900 jt ^ 5 4- 8 2 5 r 2 ^''4- 108 q 5 
X f — 1 600 j 3 r — 560 r q 2 / — 16 r 3 ^4-630 r 3 q s -{- 
72 r — 108 r 5 x^4" 2 5^ ^ — J2 % <1 ^4- 144 r 2 q s 3 
4- 16 ^ 4 f — 27 r 4 r — 4 r 2 ^ 3 j 2 — o. continuo muten- 
tur de 4- in — j & — in 4- j nulias impoffibiles ra- 
dices habet data aequatio. 
2 d0 . Si figna terminorum aequationis haud conti- 
nuo mutentur de 4- in — & — in 4- ; duae vel 
quatuor datae aequationis radices erunt impoffibiles, 
prout ultimus ejus terminus fit negativa vel affirmati- 
va quantitas. 
3 d0 . Si ultimus ejus terminus nihilo fit aequalis, & 
figna terminorum aequationis haud continuo mutentur 
de 4- in — & — in 4- ; turn vel quatuor vel duae ra- 
dices datae aequationis erunt impoffibiles, prout duo 
& non plures ultimi datae aequationis termini nihilo 
fint asquales, necne. 
PRO. 
Sint x, y, v 3 abfcifia, ordinata & area datae curvae, 
& fit y" y y +c+dx+ex x yy + j 4- g x 
~+h~~9f+k x 3 x y*~+ o* invenire, utrum area 
(•u) quadrari poteft, necne. 
Supponamus aequationem ad aream efie v r ‘ 4- 
A-^Bx^Cx z v~+ D 4- E*4-F <+ j Gx 3 4-H^x 
