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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 125r, page id 00068200:0251
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 126v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 120 lines, status machine
# Lines: 120 recognised, mean confidence 0.73
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# After the first blank line: the recognised lines in reading order, one per line.

(4) Summat otsstii, quadratus V
5)... 1. Ip et IHM qua dratus V
1(6) Numt. d +X
(9) Summa Imi er Idi quadratus d
B A0) Differenta
Imiet IIdi quadratus X
qdi et Ilshi quadratus Z
Collatio sup-
(1) per (1(6) al es d +X
2II 256
2d+ 2X Num. L
2d- 2XV
2d - 2X- 47 1I)
Tella d. 4 2X + 2d ~ 2X, 4d
2E in a 9 us 576
 3ta 57b1661
900 1n4 738
(14) po() () C) 2 efuda X
(7) per ( 3) (7 (1) 3vi- 29( d e per u
20 (15) Ergo per (19) Y p v2 + X
(6) Ergo per ((B) d Z V +X ais
(19) Tertelligat X +2CX +
so (21) Ergo X H v -e.
2gd (33) per (21) (22)
X Z 2d ⊓ f 362] 188
dH 2 + 9,32t9 41
15 11 16 A16
d  =41
12) per 3) (8) (1) 2y- a7 2d 2 2
13) pr (12) seu y  d- 32
(15) Ergo per (11) vop
(18) fiet ex (s (7) R2
9= Se Z 12 (22) intelligatur P, , pe se
dux 913
ii 2igc a q0o
900 144
y+
Xp 5 = el sive X = C. Ergo
2d a) He
dunt. 3 12 1 Differentia  c Mhi aequatur Quadrato ex  25C
(2) .... II. V2 y al
(3)... m III p - al
Suppositio IIda
(17) Num II. d X
(7Z. CH7.
EH Ve 2.
X .H
(qI (20) fer per (19) et (15) () +rex +e  V 7
Suppositio Ima
(1) Num 1. al.
positionum
B
73F
 sive per (18) (21). (23) +e
ea
Nam  (t per (6). (8) X +Z, 
L 2g laporsine prsis  B) 
(25) demati seudst (12
tp
1681 +57b 2257
1 512p25602
d= X- 271681 - 576.8
26e256C2
eBHP
36 (1681. quadratis 4p5 ls3 -ap  esp 1
Ap-a spI.
52+576 quadratus aPF H + A  s
Y5- 21
3F00+ Nes quadmatus
22 2257
15+-8l5 +kli.
 vY (F  2VyE es
Sonendoqus e X vG fit 2X + 29∞ 18,54
unde 5 145V +
aequandus quadrato, ergo
upo _ Ergo ZH 94 49, 9
erit ZH qu sive 1 e. Q q aequatur
qui + X Eogo X
6, 162t +6s 1rV 1 (51 +45 +l4  
10 1 (5+ (= 25 10) - 105210
quadrato, sive s25 + 14 +  6 poso
fiat f9  P65
1 94 49+El
F sne l
qu a
2 5b 1592 = 1 dabit.
 + 4 unde radix
1692) +9 f LH.
serp 5- 1
ets
quso
qei
ag se 5. lri 4594 
aequatur quadralo spatet seu a9t- 49l H F g 4 sCa
sive 5425t, s 2Vsun+
41 = 85l)
s- 251+Crcos et Z +X quadeatus Ergo
  14+ 291+ 14 a
Quod et fieri queat ponumus
Si 12 fiet sp e
sis 
1681 - 576
256CZ 256
2562l 256
et eos
-23 EEpS fiet: Xe he, eppe.
Quadato, tg
nargo f4+c
+2
ia
4 256q
e
1+ s 
tr 4 - 1. Ergo f.
e tEeq
1681 +5 76 116-24+1
Ergo 16- 24 +1 + 44
H 16 + 24 + 2
a+ b +C +e+ f tgth () Num III. d. r 2
4 161