# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0604 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0604?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 580, page id 851708439:0604 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=604 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000604.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 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. DEHSECTIONIBUS Cap. VII. 12. Si A = 165 (Tum V = 250. FL H = GV: 2 + V 3: (Der 56.) FrBO 13. Si A= 15 2B4 = C9 + D4L (CDY: 2 + 13: -) 16+ 12 24. Si A = 105 (Tum V = 30. Et _ = G V: 2 - Y 3: (per SZ.) ErGO 25. Si4 = 75 289 = C9. + D9= (CDY: 2 -13: =) = 5 - V VZCD. (Tum V = 165. EE (per 5 12, ) ∞ = 6Y: 2 + Y: 2 + Y3. 16. Si A = 1722) =CV: 2 + V6+ Y. 22. SIA= 2. 2 + Y. 2 + Y3. =) CDr. 2+ Y6 + 12 (Tum V = 25. EL (per 6 13,) _ = G V: 2 - V: 2 + V3. 28. Si A = 97 3) = CV: 2- 29. Si A = 82 3 16+ Y= 2 + Y3 =) CDY: 2- Y6+ Y2 (Tum V = 205, Et (Per 5 24,) _ = C V: 2 + V: 2 = Y 3 20. Si A = 242 5) = C Y: 2 + Y= V2. Et B9 = C9 + D9+ (CDV: 2I V: 22. SiA = 3 : 2 - 13. =) CDY. 24Y6-12 Tum V = 75. FF (per 8 25, ) _ = C V: 2. -V: 2 -Y 3. 22. Si A = 127 2) = 61: 2 - 16 -1 2 e. B9 = C9 + D9= (CDY: 2 V: 23. Si A = 523 2 - Y 3. = ) CDV: 2 -16-12 Ec similirer procelendum erit ad minores ArcuS, determinandos per gradtuum Oyadrances. Nam prout hic, OD0 6 4, 5, F2, 23, 54, 25, perticiuntur 58, 9, 10, 2F, 16, 57, 28, 29, 29, 27, 22, 23, ubi proceditur ad Dimidios gradus: Ita, h2. ruta ultra li libet PorrO: ANumpro (uc alibi probaio,) quod subrenta praduum 36, seu L acus inseripei regularis Decaponi, sic VS = = R (per 3 F. 23, aut 4 FL. 24. aut 555, 56, CaB. 4. hujus. ). Sic inde procedimus. e0 24. Si A = 108 25. Si A =, 72 (Tum Y = 36. FC ∞ = 15- +6 =c,3-15 = bY. 2-25FE Et B9- C4+9= (CDV. 2 CDr 3= 15= 0 (Tum V = 208. Et _ (per 5 24,) OY: 2 + 26. di A = 244 27. Si A = 36 CY3+ 15 v5 + 2415-2. = e0v5 +V5 15+ LCD 28. Si 380 id 12S 113 13 Aid 131 18 ee ABX a l u idia