# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0269 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0269?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 245, page id 851708439:0269 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=269 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000269.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.79 # 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. C. aP. LoLL. A T. G F B R A. Et pecebatur, uc parcibus Calcem decimalibus numerorum valorem rero proximum extiberem. Caui (liceris ad cum scriptis Junii 12. 1662) hanc dedi Respontionem. a = 295255 +) Sune numeri 3b = 5, 3692 = E proxime. c= 3, 2406 - Sune utique, illorun numerorum, haec Ouadraca ee Rectangula; 2a = 6, 3782 + Bb = 8, 816E = cC = 10, 50Y5 60 = 9, 6220 = a0 = 8, 284. F = ab = 7, 4987- aa tBC = 16, 0002 = bb. f a6 = 17, 0002 - cc F ab = 18, 0002 Proceltum operis (quoniam a Chiliarcha intellexeram, Ouaestionem a D. Pethio Fuisse primicus propolitum) in Pelliana Forma (cui altuererat Chiliareha) siC univertaliter expolui; prout in schediasmatis meis reperio. raa FbC= 2bb+ a6 == M 3C6 = ab == n 1+ - a a 4 bC 2 = a6 5 bb =- M = aC (3 = a b (66c = n = a b 3bbCC =1I- 2laa = aaaa 8bbcc = n bb - = a bbb 01I = 21 a a = a a a a = nbB = a bbb 202bBB = nbB -II + 2la a = a 2 aa FT abBB = m a b = a a bc 13 Xbb - 11. + 2. l aa = a a a a = m ab = a abc 232 aBC = 1 a a - a a a a mab = 13 Fam ab = a aBC = m ab = l a a = a a a a 27X2 12 18∞2 18X 19 25Mbb - 1V = 21a a = a a a a = m ab - 1a a + a a aa 26nbB - m ab = 2 a a a a = 3l a a F 11 13b = = V. Mmaa, 2aa. a. a - 3l a a + 1I. ma 4. 3 B mat V: mmaa +8n a = +2 In a a + 4 IIn 182nb = m a = V: 8nae L mmaa = +2 Inaa F q. UIn. 594 n n bb = 8n a = 2 m m a a = 22. In a a + 4. VIn + 2 m a V: 8n a = m m a a = +2 ln a a = 4 VIn: (208n V = 24 mn a = 4 m a = 36 l mna F +2IImna pluIS: 8n at = 4M m a a = 22 In a a 4. IIM: in: = V: 8n at m m a a =- +2 In a a = 4IIn: 4X8N a (2F8n aBC = 8 n la = 8n a 2X8n B 2281 b = 8n abC = 8 mn B 20, 21, 22 (238 mn b = 24 mn ad = 4 m a - 8n a = 36 mna f 12 Amna F 8 n. 1 e DlIIS: 8n at = 4. m m a a = =2 In a a Y 4VIn: in: =V: 8 n at m m a a = +2 In a a = 4 VIn. T8x q mun 248 M N3 b = 4 mmn n a = 4 mnn V: 8n a + mmaa- L2 aa + 41 23, 24 2602 AO2 26, 27 C.02 2524. mn a + 4. m. ad = 8 n a = 36I mna = +2IImna + 8 n 1 amnna =: - 8 na - 4mmaa + 12. In a a - 4 IIn + 4. M n n in: =V: 8n a = mm a a = +2 In a a F 4 IIn: 266 mna L m a = 2. n a = 9 Imna = 3 Amna 2n la immnna (A.) =: = 2. n at = m. m B a + 3I n a a - IV n = B N n: (A) in: = V: 8n at F m m a a = 22 l n a a F 4 UIn: (F) P27A, 9 = A 9X L. 9 28Ag = anna = 12 In ad = 4 m na F 13 UInna = 6Immna =m a = 4mn a = 61 nn a a = 2IImm n a a + 6imn aa 2M 1H. a a + 1 n = 2. II m n + m n 2DF 4 = 8u a + mmaa = 12 ln a a + m maa. + 4Y In HIH 3 + 6X0V 5: 10, 4. X a a 12 15-+ 2.4.3 28 425 26 RCTOL. 23-