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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 86v, page id 00068200:0174
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ex. gr. si 30 sit constans  etit
une (16t
 ut sit 30y9_ idem quod 320yy, erit 314)
= 3I1Xy + 310aV et 32aa = 3~ 302XX + 30IaX 4 300aa
4320477
Sin 30 yy sit = 321X9y (erit 3Iay = 312XXy + 31IaXy + 310aay
ita
et 32 aa = 303X + 302aX + 301 a X + 900a
ubi 300, 3dd, 2301, etc suntconstantes
Itaque Eos valores pro 21pt22, vel 31730 es 22:30 substituendo
et 12 repertis
in valoribus Ho
EmbabuO
valores a et 12 ad communem
s
es reducendo
0
denomnalorem qui potest fieri = 10. habebimus
et jam H. et 12 et quidem alteratque aliter prout
3oyecassurgit ad ryu vel ad  xju vel ad Xyy
en
de
et ita porro. Et pro quolibet ita gradu habebitur sanon
320yy
quadratorius sic si β309y sit _effiet 30 conslans
eisen
 d21 =  318: 320 et
e
i et 31,31= 311X + 310a, 320
a 22 sert 32 : 30 -= 302XX + 30l aX + 300aa,: 320da et
22 = 2, 302X + 1. 301a, : 320aa
et fiit 1=
10
113 X + 310. 3Ia -
3207a
E
e.
2. 2
X311’aX + 310. 311aa - 2
329 aa
+6D + 3I13aX + 310.31aa
==.(302. 3IIa X
302. 311 aX +2. 1. 301311aa
02∞ + 2. 1. 301 a
=2. 329.301. 311aa
+ 3dD. 3I1’ a X + 320. 310311aa
A32o3OraX - 2. 326.301 aa
329aa
820a
jam pro valore ipsius 12 erit, 421. 22 a = 4302. 311X3 + 301. 31IaXX
+306. 3IIaaX + 3∞2. 300axx + 301. 310aa x + 310. 3104,: 320. a
et L1 = 3W X + 3. 311= 3IOAXX + 3. 311. 310a aX + 310a,: 320’a
et 10. enb
a
C pive
1o
ducto in dalor  (ipsius 421. 22a - 21.
et II. erit numerator ipsius 11 ductus in valorem 421. 22a-2)
12 pagina
O
oblata
et 12 erit numerator qui in valore ipsius
superiore posito  sed explicato, orietur
ergo aequalio data ad Y et X 4 figurae quadrandae
 exaltabitur multiplicaudo per albitrariam formulam sits.X O
donec Canonicae frat simplis, et ita constantium deoefficien
tium valoresquaerantur. Hinc etiam apparet