# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0715 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0715?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 691, page id 851708439:0715 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=715 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000715.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 121 lines, status machine # Lines: 121 recognised, mean confidence 0.80 # 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. DE C O N 0- 0.9922 0.7750 0.558F 0.9980 0.764F O. 5302 c. O. 75 0.9980 0.7329 0.9922 0. 7F3F 0.9823 0.5 0. 4678 O. 434. F 0.6006 0. 3900 0.9682 0.6657 O. 363T 0.9499 0. 6382 0., 3265 0. 92 70 0. 8992 06084 0. 2897 O.5761 0.8660 0. 5413 0. 8268 0.5038 0.7806 0. 4635 O. 7262 O. 4F97 O. 2529 O. 2765 O. 1809 O. 2463 O. LF32 0. 6624 O. 372.F 0.0827 0.5830 0. 3788 6,0546 O. 4.B4. F O. 2572. 0.0303 C U N F I 5. 0. 34 FF 0. 1240 -0,095 O. 2963 O. 25 O. 2027 O. 7550 O. 1074 00605 O. OT48 --0.0290 - 0.07+3 = 0. 1083 O. T4. 2. L --0, F708 = 0. 1933 - 0. 2067 =0. 2095 0.0624 - 0. 1715 =0. 1967 = 6. 4236 -0.6505 0. 348F O. 1795 9,0109 = 0. 1577 = 0. 3263 =0. 4949 . 45. Sexto. Si secetur plano B gC, transcunte per B, F78. 7. perpendiculari re. Etanoulo AB DC, _ Sccante lacus A C in c, e quodris triangulorum RSa in po: Currae proprietas haec eric; VH AC PCU a R, ad aP; Sic RS, ad es. Fc longicudo iptius ap sic prius invenienda; Or B A, ad B a; lcu BC ad B P; Sic AC ad 2P. 46. In Speciebus, sic; AB =- CD = = R. A 2 = CR = c. RS = V: X = c 2R = AC = A. AC = a BA. B2:: BC. BP:: AC, 2 P. R. R FC:: 2p = 2F aR (= AC). ap:: R5: p0. R: a:: V: R - c2. e R FC + av: X - c. 2F aV: R - 8 47. Si vero planum hoc (per B trantiens) secet DC in quovis puncto P prius- quam perrinsar ad c in continuatione iplius A C; Curra proprictas haec exit; Se- cetur idem Planum (ut prius) a quoris Priangulorum RS a, IPSC. O A parallelo- rum; exirque OF DP, ad DR; seu, SEBP, ad Be; CCU AR (= AC) ad 2 P; SiC RS, a d P0. 48. In Speciebus, Lic: CD = R. = C CR = 6. RS = V: R - c2 DP = R = C = Y. DR = R - c = v. AC: A DE. DR:: BP. BP: : aR (= BD = AC). ap:: R5. p0. R C. R c: : Y. v:: A. A= ∞ A:: V: R - 8. 2 P = R. Y: N - c. 6. 184. 2. b. 24. 2F O. 2969 O. 25 --0. 4.758 -0. 5446 - 0. 6085 0. += -0.0624 = 0. 3275 O. 1240 = 0. 403r -0. 3476 6. 3954 6. 4530 0. 465T - 0.6663 = O.7166 -- 0. 7578 =-0. 7880 c. 4880 - 0. 8057 - 0. 4998 - 0. 804.3 0. 4960 - 0.7854 = 0.430 . 13 1 V: X= c =V: - 6: = 9. Ves