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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 2r, page id 00068049:0003
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# Lines: 113 recognised, mean confidence 0.79
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(1)
fit O=
 a el
et fet 2 ((t 2. 30. 52
=2. 30. 509)-
2.3250y3: (2)50yy+52
( 403o y +40 230. 329y + 40432. 32
Jau 
30yy +32
8y 1 509y+52
41430. 509 = 41a 30. 5299 + 41432. 51
2.50
grat. 2oytq . 22021 9y + 42R. 21 21: 10 X etc. explicundo cex
mod sec. aeq. 2
+20309y +2032 in 5097+52
+21 4509y +2157)
Nondum possum solutionem obtindere pro eo casu, quo numentor et
(e seu sartere csre
2aco+. at 0
yu
et dL dx sebs 2. 3050y 23052y
(254
40X+ aXM LWXXL UX+ 12. sib x
AF 20X + 2
nominator sunt dimensionis aequalis. Nisi forte ascendendo ad 5.
ut si sit (. = ax (40F + 41 su XX A uIX. sit  Z = 30gy+ 31y+ 3
et fit ax =
20X + 21
230y +31. 50y+51 +50. 30yg +317 +32 
e
50y+51
A 30y+51. 5094et
......
a. 30y+31. 509451 + 50. 30yy +31y131 44A1 ....
 (3750y +51
20x + 21
Quia ex data coydus datur (yydio, ideo late quid
tenlemus ad progrediendum: Ditur  summa sit co- e.
sit co- +Bg +14. datur utique 5 codu, quaeritur jam yy deo
Wdd
seu +209uycdco + 2. 20. 21y C010 = 21, 21C4 Noter
20y+ 21
1294+ 13y+14
202yy +, 20 21y+ 21. 21
fit c yu=
Ergo quaerenda  restat
jam yu +
2. 20. 21coco - 13
- 12 yy - 13 y - 14.
2. 20. 21 4 coco - ] 13 y - 21. 21 c0c - 14
E.33 - 12
2. 20. 210e0 -(3 y dy 
2000 = 12
+ 4, 20. 21. c = 4. 20. 21. 1718+13. 8 1420. 210 - 4, 20. 21. 13c0 + 1
I) 20=n
20c0- 12 3
4. 20c= 820. 12104+4 12
=p28. 2. 2114. 2000
+ 13. 21. 21C0 - 12.14
sed ita evanescit co+ nec proinde novi aliquid him discinus Et 20 co 4. 20 12+ 12
potest etiam  qu deo aliter quaeri nemper
quia cd =  B(2gy + 13y + 14=
20G +2)
jam d sa = e  da: sa et
sed hinc unt luciamur
co-
1agy + 159+16
209y +219 +22
Ja fis deo - b dva - db sa
da = 212y + 13 dy et ab = 20 dy
est enim una tantum irationatis
datur scdco du ergo dabitur et coydco
y, 2Ococo yy + ycocdy = 22c0c0
1c1
= 15.
+ 2126 - 21. 15. C L15
seu  yy + 21c0c0 - 15 y +  (25. =, 20. 221 t 20. 1660
et habetur
2000-19
= 16
14. 22 c0∞ -14. 16
(doco p= 920 32. 4 4. 14. 12. - 4. 14 b,
20 cor- 14
d = saxsoX + 11. sit X -  +1, fiot: O st Vydys Si y F 21. H summi datur
O=X dx sit X = Svroyy +ngt fit dx = 2 g 2. 10y 411 eonnestet
relatione
O = (dx suxx + 12 O sit  X = hogy + 21y+ 22 fit dx = 2. 20y +21, dy
sec et fit
(10XX + 12
20Xx + 22
et (dx XX SIOXX+ B2
20XX + 22
4. 20. 31. 3+4. 10. 31. 22. 32 + 271
(4. 20. 1. 31 + 4. 20. 22. 31. 31
10. 20yy +10219 +10.22 S20 Gy +219+22
20yy + 219 +22
( = (2. 20y + 21. dy
sit Xx 31y+32 fiet Xdx = 31 dy et dx = L dy 131913
Ergo C = 3( dy. Sio3i9 + 10.32
= 3. Sdy (13194105
YL
20.319 + 20. 32 in, 31y+32
in31t3222
V +12
20. 31 yf20. 32
Aa XX + Zab X + bb
et debel esse
16. L3F9+223
420. 31220.32 = (3) 2. 20. 31. 32.
Aatv se (4. 20 31. Dt 4. 20  -1. 28. 357 4. 20. 1 Z ( + 21; 32
52=, Lu: 10
-22.10
20. 3C9G +l26. 3l. 5CG+205C