# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0471
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0471?run=74
# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 451, page id 851387705:0471
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=471
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000471.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.78
# 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.

PFOP. CI XXXII. LNFENETORUM.
Vel (posito m = 1 F F;) 3mV3 e 3m 12 + 12 m13 == m12. Ouxe icaque ett
Tumma Seriei Guincanorum ab o inchoatorum, quorum ulcimum est 15: e termi-
norum numerus m =1 = F.
27. Ad eandem Formam; Cum sic character Numeri
egramidi. prramidalis 720)  F 25B + 85 H + 225P + 274P + X207. 1. r. b
Frianguli ctiang uli. Pyram. 5040) P. + 21 V F 275P. + 735P f 1624P + 17645 +7 201
A deoque omnes  720) a = 15 a3 = 85 a2 + 225 a3 + 274 a + 120a
lint
Hloc elt, omnes
SInE
15040) p +211 + 175P + 7358 + 1624 + 1764P + 7201.
a F2545 = 85a2- f 2252 f2748 f 120a.
7) +21P + 175B. +735B f 16245 + 1764P 47201.
28. Suneque Omnes 120 a = - 1201 =60P. +601.
Omnes 274 a2 =
227417 +
(=2747 = 91 313 + 9c37
Omnesars a =  = 225 1 + = = 225P-
56+7a + 56+13
+56113+56+72
Omnes 85a = = 285 1a + 3(t 3 85 7. +
= 2713 + 2772
+25311 + 25513
+
= 2513 + 231
-2312
Omnesque I5 a (per jam modo demonstrata)
+
= 45312 + 4
85
=151 +  = 251 + F = 15B-
= 310 + 31.
+5B +534
+ 574 + 313
29. Eric harum quinque summarum Aggregatum,
515- F 24373 = 1051+ 2325B = 25217 4 10231.
Hoc est 6) 1510. = 247 33 + 630 12 + 2393 1 + 1512Y + 6771.
Ouod itaque, una cum omnibus a5, complet incesrum
7) n F 2216 + 275B. f 735 P f 5624B + 176417+ 7301.
20. Si ex hoc ilaque subducatur illud habetur omnium a dexrexatum: vel
(sumpro communi denominatore)
Si ex 42) 61 + 1261 + 20501 + 4420 N + 9744. P + 10584V + 43201.
Subducatur 42) 105P f 1029B + 4410+ 975rB + 10584P + 43791.
Rectabic 11 42) 61. F 2TF F 2FB
7B
Duxe icaque ese summa omnium a, ab o inehcalacum, quorum maxioaum est 5 et
omnium numerus m = l+ 2.
HOC ett, 61+675
12)
F2516 F 15
+ 613+61
614
1
851=
151 =