# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0601 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0601?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 577, page id 851708439:0601 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=601 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000601.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.85 # 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. ANGUL A R FBVS. 4. Si Angulus A Sc Graduum 60, seu 3 Recti: indeque demistae C, F, anoulos Cap. VI. ad Balin (. protonsalail) Laclati p asemo. Le (ut prius) criangula XGC, FSD, sunt ipsi CDB similia; _ CF e triangulum Aiquilaterum, (cum illis plus minutre communicans, prour tuerine in criansulo exposico anguli ad balin:) Balisque B = 1 f d - p (seu r = p. f. 8.) FrSO, B. C:: C. ~ B. D:: D. S (C9 = B+. EEF= D9 =B5. E B. C:: D. F, C = _. ) CCD = BH. ) Fx propterea C9 F Dq = CD = B, f BS- B, = B inca 1 5 - 1 =) B, = Bg HIOC Ct, Duadratum Basis, ansulo graduum 60 subtendentis, Squatur Quadraris Cru rum, dempto corundem Rectaneulo. Nocandum hic; quod per n incelligo balin crurum C, G; per S, batin crurum D, F; per u, balin crurum G, F; _ per B, batIn CruITUI C, D; Ouxe SeMPEF Xqnat n L S Fu, utcunque partes lae immisceantur. Et quidem, pro +u (ubi angulus A elt obcutus) res est conspectui masis obria: Sec, Pro -V. (ubi A ClB ACuTUS) res aliquanco est perplexior, e consideratione indlisens: Sed utroque catu pariter vera. Nempen pro A obrulo, B = 1 f d F H: Pro A acuro, n + 5-u: 5. Si A sitc gracluum L35, seu Z Recti. FF G, F, (ductae ut prius) ansulos ad balin taci. anc ipsi a aequales: Priangula nGC, FSD, erunt ipli CDB similia: EF OFP. A. quicrurum; cujus anguli ad Balin sunt gra- ul. 2sB Ot1 11 1133 15 duum 45 (180 = 235:) Adeoque angulus in Vertice (quem V appello) cradu- um 90 (= 180- 45 = 45.) Lt prOpterea (Per S 2) H 4 = 269; d e = C V 2. EL Balis B = n F d V. PN5D. , l cis lo custicton inpitor s t B. C: C. X. B. D: D. 5. CC9 = - BK. C ee dB9 =B5. B. C: D. F = C. 3 DCD = BC (CDVZ= = BV. Ex propterea, C9 + D4 F CDY 2. = B. + Bd. + B, = B in (+ S. + p =)B, b9. Hloc elt, duadrarum Basis, subtendentis Aneulo eractuum 135; Squatur Duadraris Crurum, Ona cum corundem Rectaneul in Y2 ducto. Dddd