[ 2 97 ] 
4 H — 16 H z 
4 G = 24 HG 
4F--4H- 16HF4-9 G 4 
4 E — 4G— 8 HE-]- 12FG 
4D-— 4 F = 6GE + 4F 2 
— 4 E = 4 FE 
— 4 D — E’ 
led e methodo communes divilbres inveniendi con- 
Hat has asquationes inter fe contradibtorias efte, & 
confequenter curvam haud generaliter efte quadra- 
biiem. 
T H E O. 
Sint x,y, v, abfcifla & ordinatss curvarum A BCD 
EFGHI&C.&A § ejkc. & fit y— p x\ & “Urr: 
JLpa^x'^n pa n -^x^ nx ~ 1 ^ 
2-3 
X n - 
X 
30 X 2 x 3 
42 X 2 X 3 
— .‘lilful h a n — -5 S 77 x 77 — 1 x n — 2 x n — 3 x 4 x n ~5 
x x 5 "30x2x3 x 4 x 5 x 6 x 7 
X 72 6 , 72 7 7 
pa ' x 1 4 
572 X 77 1 X 72 2 X 72 3 X 72 4 X 72—5 
X 72 6 X 77 7 x 72 
~ 
X 72 4 X 72- 
X7 x8 X9 xio xii 
66 x 2 x 3 x 4 x 5 x 6x 7 x 8 
2^0 6 9 J x 72 x 72 1 x 72—2 X 77— —3 
r ' 2730 X 2 X 3 X 4 X 5 x6 
5 X 72 6 X 72 7 X 72 8 X 72 Q X 72 10 72-11 
pa 
x" + &c. cujus ultimus terminus debet efte x 1 vel 
71 2 
x , prout (;z) eft par vel impar numerus. 
Sit AP = a, bifecetur A P in T in duas 
asquales partes, & ducatur linea E T < 5 , & ft AE, 
EAI, AM, jungantur; erit triangulum AEM = 
TP e A T areas. 
Deinde,, 
