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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 99r, page id 00068198:0197
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 98v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=197
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000197.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

huiste deus pacis decum nascientis in
qui oimidis patulas in fera vellatores
1de
domare inti
annis, ut in foti saerit mon
U prouleatu jus sertrerte sacer
Videmmus ergo an scopum consequo liceat, si non 10b0 + 12 et 20vV+ 22 sit quadrati,
Sed tumen invicem ducti faciunt gr quadratum
sit v 50e + 51C+ 32,: 160 et 61e+ 62 et fiet 10Vrt 1SE ,10.5D. 51 CF 2.1050. 52
et simuliter Ht in aeque 3 habebitur 30VB+ 22, pro 10, 12, pontnto 20. 21. itaque ta
cm in 3 et 4 nominatores siot iidem, ideoque ducti in si faciant quaratum
hinc superest momeratores in sernvicem ductos facere quadiatum
=10. 51. 51 +2 1051. 52 C +, 052 52
so c + 61e + 62
Itaque nmentar in aeq. 3 sit conferendlam A facto ex 10C + 2. 7B1 C+ 74 in 80C+ 81C + 82 Et sumtditer
numguntor in aeq. 4. conferendus est cum facto ex 90e + 2. 90. 91C + 9r in 80 C + 8t C +72
70. 80 C +76. 81 e + 70. 9e
+2.70. 71.50. + 2.70.718, . +2.70. 71. 8 C
+71718. +71. 71 81 +71. 71. 82
aquib
fit 90 2 100:78 81 = 104: 7 12 =
170
Et et 203 81 + 2. 70, 80. 75 210) te 81- 101 29, 100
(12L.
et 1P 81+ 2. 20. 75. 82103 ) - 81 = 103. 2.70. 104
104
264)
denique 7071. 82 + 2. 78. 7P. 81 + 71. 70. 80 = 70. 71. 102 ex 10 et 12 fit 2 = 31.10)- 7 20. 104
100
104
Ex 10 1. 1 fl  76.  + 2. 70. 71.101 - (4, 714 100 (4 7 5= 100) = 78. 71. 102
104
70
et rx12a13 fit (70: 104, + 2. 783 11. 103 - (9, 78104 471. 100 = 70. 7, 2 102
70.101 -271, 100
se 4+4. 20. 10 + 2.70.71. 101 9 Ergo ex 11 fit : 31 = 7 103 - 2. A. 104
= 4. 71+. 100 - 2.79. 71. 103
ledaqaxet 14 70
oincidunt
hyommaddantur sibi sed suctruhantur aqu. 15 et 16.
101 - 2, 71 100
Ergo non subtrahantur sibi seo et addantur aequs oationes 15 et 1b. fret
19
-2. 70.18 + 3.70. 71.101- f. 70. 71. 102. seu
sio
- 713 1. 100 - 104 + 712 101 4 31109- 2 102
seu fit 21, 2 21 102 = = 183 + 104, :, 101 = 2 100. Ergo equando vatores, 14 et 21. fil
= Y. 711. 100 +7. 782.71. 103
H1. 103 =2. 70. 104 (22) 71.71. 102 = 70. 71 103 +70.70.104, et mulsiplicando per
70. 101 - 2. 71. 100 20. 20.101 - 70. 71. 100
crucem fieret:
20 70. 70.71 . 101. 103 = 2. 70. 70,.70, 101. 104 - 70.71.71. 100. 103 + 2. 70,70. 71. 100. 104
70. 71.71. 101. 102 = 70. 70. 71. 101. 103 + 70. 70.70. 101. 104 = 2. 71.71.71. 100. 102 + 2. 70. 71.71. 100. 13 - 2.70. 70. 71. 100. 104
aequ L23)
su, 3.78. 101. 104 = 2. 713. 100. 102 = 4. 70. 71. 100. 104 + 3, 70.7, 100. 163 =0
ab
seu 100 et + 101 (3 + 102 C + 103C + 104
=2. 7071, 101. 103 +1. 70. 7(. 101, 102
ore
ia plat
+ n. 60). +12. 61, +12. 62
1 = 3. 1o1. 102) 7 . lol. 030