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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 16
# Folio 4r, page id 00068013:0007
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Calculus 1
prosequenda pagina rda
x 10 X + 11 =0 et 20X + 21 = 0 Tolli debet X
fiat 10. 20X + 11. 20 =0 et 10, 20X + 10. 2180. Ergo 410. 21 - 11. 2020
vel aliter 10. 21. X + 11. 21 =0 et 11. 20 , + 11. 21 = 0 fiet rursus aeg. 5.
Calculus 2 1aX ~HX + 1220 20X1 2140
10 X + n0 C 28X4 10X + 1X + 12 =0 20X + 2120. 1. 20X + 11. 20XY 12. 2020
et 1020X + 10. 21X= 0 het F11. 20X + 12. 2020 Et jungendo aeq. 4 et 2
10. 21
fit ope calcli aeq. 5. calcli 1. +11. 20, 21 - 10. 21. 21 - 12. 20. 20 =0 seu
10. 21. 21 - 11. 20.21 4 12.20. 20 0
Calculus 3. (el 10X3+ AX + IX + 1=0 et 20X + 21 = 0, fiet 10. 21( - 1. 21. 20 4 1. 21.20. g2b
Et ch porro.
10X + 1 = 0 et 20X + 21X + 22 =0 fit 20. 11 = 21. 10. 11 + 22. 10. 10, seu fit
1
105 1o H. 21 + 1. 20=8 10. 22810. 11. 21 + 15. 20
Cal. 5 10 X + 11X + 1) et 20 X + 2X + 2220 Ergo 10. 20X + B. 11. 20 X 1 12. 20 =0 et 20 XAIOHIX 410. 12 =0
Cale 4
fictus 21O. 21X + 10. 22 =0. quam conjungendo cum aeq. proxima eo X + nX in ∞O
secundum calculum praecedentem 5. fit +10 2 2, 10 H. 20. 2 + 1, 20. 2F
 12. 20
-11. 20
+ 18 Et C102. 28. 2F - 10. 11. 20. 21 7 11. 12. 29. 21
F10. 25, 22) - 2. 10. 1129. 21. 22 + 11. 20.22
- 10. 21. 22. 21) + 10. 12. 20. 21. 27 4 10, 11. 20. 22. 21 -11. 12, 20.21
+ 10. 22. 20 - 2. 10. 12,20., 2220 + 1. 20.20
et divisii omnibus per
20,
10. 10. L2. 22.
12, 12.20. 20
10. 17. 21.
10. AD. 21. 22
IV. 11, 20. 2L
+ 10. 21 X + 10. 22 20
= 1L. 20
fi
11. 12) 12. 12, 20. 20
11.1, 20. 21
10. 12. 27.8I = 2. 1. X 2D. 22
2.10.11. 21. 22
H1. 11. 2022
: --
P10. 32. X + 11 22X (F12 22) . 1. Au τ10. 2I X + 11 22
-12. 20 = 12.21 - 12. 22)
unde fiet: (+ 10.10. 21. 22 X) + 10.10, 22. 22.
11. 20.
0
Cer 10. 10 22. 22
10.10. 2
= 10. 12. 20. 21
= 10. 11. 20. 22
4 11. 12, 20.20
= 2. VDA, 20. 22
+ 1X1L. 20. 20
9997
4 10. 10. LL- LL
4 12. 12. 20. 20
-2 10. 12. 21. 2)
-2 U1. 11. 20. 22
2)
deest vE. 22
volc. 6. 10X + 11X = 1X + 13 =0 et 20X121X +22 =0 fiet
deest. II. 1. 21. 21
410. 20 X + 11. 20X F 12. 20X +13.20 =0 Et ex aeq. 2 et 3. habebitur per calculium 5
= 10. 20 X) = 10. 21X - 10. 24X 14. s. + 11. 11. 2028. 22.22 +12. 13, 20.20. 25.21 1
13. 13. 2 20. 2020 +12. 13, 2020. 20. 21
12.12,20,20. 20,22 31113. 24, 20. 2922
11. 1 20. 29. 2121
11. 15. 20. 20. 2. seu
13. 13. 20. 20.20
1. 10. 22, 22,22
(rI 20, 20. 22
ZII.II. 20, 22.2
(11. 13. 20. 21, 21
10+. 2. 2. 22
3. 1b y rocer
=4 . (3. 10. 11. 28.21
F10.10, 21.21
---, - 10. 17. 20. 22 20. 21 n
3
+3
=, Z. I. 13. 20. 20120. 22 11 42.5
Z10. 13. 20.21 20. 22 1.
13
4 10. 11. 21,22
= 10. 12. 21. 21
11. 11. 20. 2
11. 12, 202]
11. 2. 20.
I2. 2
10.12 20, 22
10. 12. 20. 22
10. 11. 21. 22
ut anite X
+9 1 + 13, 13. 20. 20. 20. 20
-12. 20 = 12. 21
3. i 4 11. 13. 20. 2I. 21
+3 . - 10. (3, 20,21
=2 1 + 12. 12. 20. 20 20. 22
A v =2. 10. 12, 2,21
18 v +10. 10. 22. 22
+11. I2. 20.40 2. LL1V
-10. 11. 222L)
10.12
E
+ 1.10 21. 23
8
-