# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0615 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0615?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 591, page id 851708439:0615 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=615 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000615.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine # Lines: 72 recognised, mean confidence 0.71 # 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. Cap. VIII. ANGULARTBOS. Capitis Sexri; primo inveniendis subrentis ReGregatorum e Disterentiarum AF- cuum quorum Subtensa jam innoceseunt. Corniris (ut jam ostentum cs) Arcus, Angulire Sinu Recto; Cuna cum Circuli Radio:) Fansens, Sccans, _ sinus Vertus; cum ejuldem, cum ejus Com- plemenci ad Guadrancem; inde facile derirantur per nocas Methodos. Ouem in finem; libet hice subjungere Aquipollentiam seu Loodirauiar variarum Delignationum pro earum sinsulis inter le cognationibus. Quam, ance multos annos, in hanc tormam redezi; d D. Johanne Collinio ad id FogatIS. Fsto R, radtius; S, Sinus rectus; Z, co sinus, seu linus complementi; T, cay- BenS; 7, Co tangens; S, secans; 6, c0 secans; V, SnuS. VextuS: v LInuS- Versus complementi. Pum erits 5 = v. R - 2. - - - = v. R. 5. - = Z.R R V. R 52:- V: R3-. 52: - SR F SR R F YR. J. F: = TR V.X Ir: Z. R V. R 2: = 5 V: R - 5: = 1: 8 - R: - R0V R00 Y: 20R -V. R 2 =Y: S. - B: V: 62 = R: V: R F T3. = Rn Y = Y: 20R - 5 V: R S: = V: R = 22: = Y: s R~V RCYV: EVR =V.. EiR J. R 5.: =V. R + F: = V. R + -: = - v: 2 . + R =: - TR YR B Yo- P: 5 V.R- 2: S= V: R- 2.- 1 TR V.N+ r: = Rvo = V: 2VR -V = = V: R- 23: - V: R- 22. = SR s E F V.R 23. = V. R f r: V: R F rR R 23 P3 P2 Si RBV Y: 20R -v: == V. P +R2: R= P3 Y.R 8: 25V.R S. =F Ru Y. EVR V. SR V.p -. B. Y = RF E. R F V: R -8: =R + q =RF s. R f 73. RF = R + XR =R F J. P L5: =R F =R F V: 0 = R: =R + V: 20R - 8: =R+ S = R. + Y. R - 23: =R+ =RF s. R. f. g5. =R =R + TF V. R. f. Y = e + = =RF =R F Y: s -R: =R + V: 2VR -Y: P. R. lu