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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 2v, page id 00068220:0004
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resumamus: a r 29y + ry + Sy + t aequ 0. cy b5 + cy.+ d aequ. 0
Multiplicando per crucem et componendo: eqy + ery r esys + et aequ ab y + ac y + ad y
et rursus:  + abbus + abcy + abdy
Resumamus. 10y + 1 y + n y 4 1y 4 149+15 aequ. 0. et 20y + uy + 219 +23 equ.0
+ ae
et multiplicando per crucem atque componendo:
+m2o 3 +12. 2o y+ 13. 20 Yy + 14. 20Y, + 15. 20 aqu. 9.   H 1 on y + 10ns y 
- 10. 21
(0
= 10. 21.  10. 23. cau cs
+ 12. 20. 20 y + 13. 20. 20 y + 14. 2099Y + 15. 20. 20. cqu 0
Et aequ. 7. et 8 rursus componendo fiet:
= 10. 20.2d. - 10, 20. 23
- 11. 20. 21 - - 11. 20.22. - 11. 20.23
+ 10. 21. 21 1 + 10. 21. 22. + 10. 21. 23.
Sed et puo 10, 11, 12, 19, 14, 1 20, 21, 22, 23  invertendo terminos, fit:
scribendo.
(10)
15, 14, 13, 12, 11, 10 33, 22, 21, 20
10. 23. 23 y + 11. 23. 23 y + 15. d. 15
=14. 20. 23.
= 15. 21. 23
- 14. 21. 23 ∞14. 22. 23
+ 15. 20. 22: +. 15. 21. 22 + 15. 22. 22
lnde componendo cum aqug c aequationesu cum aeq. 3. fit
F 13. 20. 30401- + 14. 20. 10. 20y +15. 20. 20. 20
10.10
-11. 20. 
et
= 11. 20, 20, 24
+10. 20. 21. 22.
+ 10. 2D,21. 23.
+ 10, 20. 21. 22. 410, 20. 28. 22. + 10, 253, 22. 23
= 12 20. 20. 21. - 1
a 11.
4 1. 20. 21. 22. + 11. 20. 21. 22
2. 4. 21. = 10, 21. 21. 22 = 10, 21. 21. 23
+ 10. 23.2323y = 11. 23 23. 23y + 12. 23. 23. 23 9
et componendo aequ. 10. cum aequ. 3 fit:
Et rursus scibendo oppositus.
aeg. 0
1- 20, 23. 2
- 14. 2. 23. 23.
+15. 20, 12. 23. 14, 21. 23, 23
213. 21. 23. 23. 415. 21, E2. 23
PX 20. 23. 23
+1g. 2021. 23
15: 20, 22. 22. +15. 21. 21. 23. - 13, 22, 23. 23
9. 21. 22. 23. 4 15, 21. 22.83
-15. 21, 22. 22. + 14, 22. 22. 23
= 15. 22.22. 22
+ 14. 20. 22. 23
(12)
89. 9.
(12
et Ly + My + N ry. 0.
Et jungendo aequationes H et 12
compendio scrbamus C A st + By + C aequ. _. 0.
(ubi nota C et  et A et N. et B et M, esse _ sibi invicem inversas
+BLy + CL aequ 0. Ergo et: .ct y +
N
eN
quas inter se aequando fit:
Ergo fiet denque  = t
-AM y - AN
(15
CM 2BL aeq. 0
+BN = AM
go