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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 10r, page id 00068229:0019
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
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# Lines: 40 recognised, mean confidence 0.83
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# After the first blank line: the recognised lines in reading order, one per line.

(10)
(11)
(12) Ponatur
(13) et ex Aeg. (11) fiet.
(1) (1) Num 2.
(2). .. 1I
3).... 11I
4) summa Abanerorum
resMimeros reperire, quorum summa Quadratus
et summa quadratorum, quadrato quadratus.
ab Ejus atum ataub
aC  Ejus ttum acC
X = ab -dC. Ejus Btum: X 2- 2X ab - 2 X ac + a b  2 a bc + a 
X
() uomma Quadratorm: X - 2ab X +2a b +2abc
(6) aequalis quadrato) vadrato
= 2ac.. aac
Da X F e nempe X  + 4X e + 6X e + 4X e + e
(7) Unde aequatio per 5. 6.
(8) Ponatur
+ 4X  + 2 ab X +6X2e+4eX + e  2a b = 2a c- 2abc  0
+ 2 ac .
Unde
Ff +X C A+2ab X ppo sive b B F X0X - C, et 28b  de X + 8 exac 1 ac
+ 2ac
et nabe e F 2 ecax + 2 ac. Ques valores in Aequatione (3) substituendo, fiet
(+6X e + 4e. X + et 3a7
- 8)... ( Beac)..
-2... 72aC9)..
4 beal 
2a
a2ac0)
separetur haec aequatio in duas, nempe, num (10) et (1)
10.
= 4e X + et 10 Unde X NF 
-2X e f6eacX - 2ac7 0.
a Y  X, et a p n X
+x. 2xe fbenxc. inx
c
Dividatur