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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 134v, page id 00068197:0268
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 135r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=268
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000268.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

si debeat esse    y, et y+ m _ et y+n quadratus, fet
1
et 1
ve +M et vv+n quadratus, _ vy = vo + 2VZ +Z2 seu v = m - Z794
et rursus v = n - coco; Co it sit mco - co ZZ = Zn - Zcoco
seu v = 1 - Z = n - c0
0
quid si sic vvam = co rpi et v +n 1088
V WV + inquadrat, sit B = 10+ nC +  cu;: 20H
10
sit V = 2 +29 et 22C+ 29,:, 30e + 2.31 C + 31
sit
t Ze n. 30 C +4 n 30. 21 + 613031 
64.
+2. 21. 23522
_2I +2.11 22C + Z2l +2.82. 25V + 292
66-
64Ct + 69e + 54lC + 67 e + 68
69
2
8
est
65 = v
67
64
55 et 65. 67  + 8. 64. 68- 4bb. 4 B
et hoc fieri debet bis secundum nm, et secundum un
ex 3
ilaque
et
(4n. 30. 31 + 2. 21. 22 -  n. 30 +21
N. 30. 317. +2. 22. 23
n. 31 +23
quidsi 64 et +65 C +66c +67 C = 68
comparetur non ato, sed facto ex quadrato in aliud:
quod utrobique sit ita factr ex votum in rernaculetus.
10V + 12 aequ. quadrato, ut et 20v + 22. sit V = f50C + stC+52
Sit v = (52 C + 53C +  54 :, 60 e + 64. fie tque
+10526 + 10. 538t 10. 54 aeq. 1Ito Ergo 4, 10. 5t in 10.54 aq. () 10 53
2.12. 60.6)
+12. 6021 +2. 12. 6061 C +12. 612
20. 53
12.66 12. 6,
Et similiter 4, 20. st in 20. 54, aeq. D 22 b0 61
22. 6 22. 6,
quodsi jam fiat Et fet se = ( 10. 53, + 2, 12. 60. 61 -, 4. 92. 65. 10. 52+ 12. 68,: 44, 10. 52 +M. 68
= ( 20. 53 +2. 22. 60.6) - 4. 24. 6(2- 20. 52 + e2 689:, 4, 20. 52+ 22. 60
16.53. 20. 52 + 10.53, 22. 68 + 410. 1253. 60. 67. 20. 52 + 4. 1X. 12. 53,. 60. 61. 22. 60 A166.
=4, 10. 12, 52. 612 20. 52 = 4. 1. 12. 52. 617,. 22. 60
20.53 210.52 +20.55. 12. 68+ 7. 2022. 53. 60. 61. 10. 52 + 4. 26, 22.53. 60. 6. 12. 60
aequ.
(  - 420. 22. 52. 61. 10. 524 - 4. 25. 22. 52. 61. i8. 60
ponamus esse 16c Et fiet: 52 =  C 1 (B 1, 10. n. 60532 + 4.10. 12 2 s1 6153
12 68 410460 0bt.
Et fiet 416 20 5352. +16. 22. 6853 + 4.1012. 20 6061. 53. 52 - 4. 1. 12 20 b2. 57 4a Harto b, 53
=10. 20
=4. 10. 12. 22.6826(52
+ 4. 12. 36. 22 60.61..
= 12. 26.60. = 4. 10. 36. 226061 .. +4 10. 75. 22 61.. -411.  2 bo61
si sit 12 = 22 ut in conicae curvae elemento, fiet
evanescent 5) termini 53. 52, et 52, et 53 et 52
et fiet fet 52 = 10420 12. 66 :, 1020. 20-10
seu fiet 52 = 10 + 20. 12. 65: 10. 20
(07+ 280. 81C + 81
90(2 + 91C + 92