# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068195:0415
# Permalink to this reading: https://leibnizlegible.com/page/00068195:0415?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 208r, page id 00068195:0415
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 209v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=415
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000415.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine
# Lines: 106 recognised, mean confidence 0.69
# 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.

 diffrae 2
+ Z
Sd s
X 2)
2ogiio 
Lo 1
ed
5 y 8
 n 2,8
77
9f6
2o  ola
1 8o. I) olio
o valo) 
10 2
spstas 10
2227
1029
9 32 bas
i
2 3ip. ide l X (b 630 (35  e
19 Si differentiae propcessionis dria
e
e
fractionum driangularis, dividantur
per Primam Quoductum eriut
fract prosressio fractionum
Syantidalisam.1c
Hnc summa Differentia ista invertatur
habebimus summam, ut 2 est summa
progressionum Fractionum Triangularium.
 est summa Bgramidalium Potest
et regula sic enuntiari. Si tummam
datae fractionum quaeris serici fractionum
numeratores unitates, nominatores, seriem
ordnum Numericorum habentium, quaeris,
summa Primum numerum (post unitatem)
ume
fractionis Serier Namonc. Ordinis Numerici
proxime. anteredentis, et hunc divide per
suam differentiam ab unitate. Productum
.. P. 3
. .. b
4
1O.....10
si5
115..-. 15
6, 10 x ibt H d3e
18
is is
ia 36
7t 3g
quauenda est ratio summam eneindi qua
1ybal 147
2 3eo 10 vol 90
14 3 1
17
36
4 29
1366 3d 9   pr
2i 494l24
480 20 400 50
Yfa 25
75
L iie a visa   a 3 
 2
is 26 b
n 144
4 3 124
10 ioci, Es 2 400
erit summa frogressionis fractionum data. ict 144 1B
3 g  oli
Ia
geo is igo
datorum et cuborum pin fractionibus
34 3 a
 
vy
Hi ergo numeri 2 3 8. 5.  us quo 400 ab 4
sun smmae sererum tractionum orderum
Numericarum
is 150
10 1
42
o
= 9do 35 16 61000 
136a 126
s 16
s 26
3 04
a Ee
240 4
1 80 31
426
B.  . )
...d
g. 1
...-5
.. b
18 1B 18
144 3d 18 in4. 1ta
400 bb 1bo 40d
31
56 y
f.
2s 16