# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0408 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0408?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 384, page id 851708439:0408 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=408 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000408.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 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. =d 2 ~ = L G L B K A. Z X 3 LidD. Lli 6 a : 40au t 1r2 a; t dee Hloc et = Y da in: F + ~ - L 3 ~ N, 5 X A N 640d TT2 a F ec. (Nocandum aucem, quod supra monicum est, quod 3, 3, 3, ec. ponuntur hic pro Exponencibus dimentionum ipsorum X, an ecc. Et similiter, in sequenri. bus, uibi calia OcCUTEUNE.) Exemplum TI. Areu dato, invenire Sinum, rectum aut versum. Sic Racdiusr, ArcuS Z. Sinus rectus est, 6rr 1OF 5640r 3628875 = _c. Hoc elt 22 C ecc. lc. Exemplum TI. Dato Areu, alium in data ratione invenire. Sic Diameter d Dati arcus chorda _; areus quasituS Sic ad dacum, ut n ad X. Chorda quaesiti exie =n x O= nn 4.X5ad rB 25. nn 627 ad C 40- nn rr Buorr El otus vettuo, 2433 720r 4032 r F _c. Hoc clt, 21 aure suari suori uber lin 3 e a 3X = n n TOXIT4 8c. Nocandum hic, si n sic numerus Impar, Series erit finita; et quod inde pro. ditus idem quod in Algebra communi pro mulciplicando ansulo per numerum n. Exemplum NV. Si in AB utrovis Arium Fllipsis ADB, (cujus Cenrum C, e avis alter DIL datum sit punctum F, circa quod recta F. C (FL lipsi occurrens in G) feratur motu anculari: Da- ta area Sectoris Flliptici BP G; invenire Cit per- pendrcularem axi AB. Sic BC =9. DC =1 F.B =C. EC duplum APCa BEC, = 2. Tum et GF, = 26093 + 50499+ - 225911 5040 r5 L Ouxe est Solutio Repterram Problemaris Astronomici. Enemplum V. In cacem Filipsc; politis CD = r. CD) C. B4 (8. et CF = 1. Arous Klliptieus DC, est 1t 6pp 120 pt F