# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0492
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0492?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 472, page id 851387705:0492
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=492
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000492.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.77
# 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.

inde Ro
ARITHMEEIdK ProP. CXCII.
Nempe, in quarra, ad hanc Formam.
2X4. X426) 9: 426: (3 = 2 6X8X8Z10) G: 8x1O: (18= 3
368+ 4510 8, 5103, 27 ia 2, 21a 2, ~9 18 18, 318 18 
AX
2 X 4
X 6
6X 8
4X6X6x8) O: 6x8: (2 = 3
In serie quinca, ae hanc Formam.
2X4X6X4X6~8) O: 42628: (3 =a
363, 2510,81 2714 2, 51 8, 47 11 2 Y D 18 81
2 X 4 X C
X 8
8 X 10
AX6XBXOXBX7O) O: 6XBYTO: (2 =3
Et similiter in sequentibus seriebus. Nempe singula rationes Periei quartae,
quintae, sextae, ec. componuncur ex leriei terrix rationibus binis, ternis, qua-
ternis, ec.
Cum autem in singulis his rationum jam inventarum seriebus (ex quarum con-
tinuo ductu constitmuntur Tabellx nostra numeri) commodum videatur ut in
variis tormis exhiberi postine, de (prouc opus videbicur) ab una in aliam trant-
Formari, quo melius (aliarum Fractionum instar) overariones Arichmelleas AINCL
piane: Porelt et id commode ticri per ea quae in hujus Scholii inicio tradica TunE.
Nempe, resoluris (ue ibidem docetur) quadraris numerorum parium in rectan-
sulorum illis aequalium latera illie indicata, nocencur cinsula (ob commodioscu
procellum) suis Cymbolis, hoc modo,
∞
221C+ 19610810101612
C
D
2 a
366+ 510
14
ia 19
d1818
2B li5C) 2D
2X 9l a r 18L
23 d
16 x 3C
pin sn teo sentont
28X38L
(35 X sC
764
Cum enim sic_. B = 92 = 4, _ BC. = 94. = 16:
Frit 4. 16:: BB. BC:: D. C =- 150 = 4B;
EC Z C =∞. Icem D) 4 (B, _ B) 4 (O.
Ec Timilicer in locis reliquis.
Adeoque eum rationes nuper inrenta, sint in serie
Prima A ~- - - - -
10
233, 308, 5108 712, 918 18, =2 3 3, 32623
hoc est AL = + ∞
8 TO T2
D F F X 2 c.
Secunca, AX = X3 XSKB X 1BX B _ _C.
-
Ferira,