# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0128 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0128?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 108, page id 851387705:0128 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=128 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000128.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 recognised, mean confidence 0.74 # 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 MIDLTIELICAETONE Cap. X e a + C) a = e3 (a - ac + e ad a’e =a C - ac ac a c- (a - ac = e a + e e 2 - 03 263 2ae a = e. Fum cum a) = a c (-- ac; de = ac in a = e sit = gt e = d c facta subductione, reltabit. L a c - e. Denique cum Fit a) ac (e, ec e in a f e siF ac + e; lacta subctuctione, rectabit = 2e: PL quoriens ett a - a0 + c a F e Vel Ci in ultima operatione, pro quoriente L e (= ) sumeretur quo riens = e, quia nempe + e) = et (= e2; = e in a + e, tuistet = a0 - e3; 8 subductione facta, reltaret 2ae, adeoque quoriens a = a e - e tancundem valet: Nam F et - = a c = e 2 a c a Fe 26 2aC ac a + Duod a = hoc est 2C = c = 20 a + e Sed idem lere erenitet Si praecedens operario (ubi residuum est = 2 0.) ulterius continuetur; ee tumatur quoriens =, = - 2 e : nam = 2c in a F c eAt = 2ac = 28; quod, cx = 2 e subeuctum relinguit + 2. a c, adeoque erit a - ac = e - 202 2a c Ouod ideo monco, ut appareat, (praeterrim ubi necestario tractione terminetur) quocientem polse rariis tormis exhiberi (nam et multis adhue modis rariari po- Test) Sed qui cancundem valeant; ue quilibet eam quae sibi masis accommoda vi- deacur selisat; ee quidem nunc hanc nunc illam uc praesens negotium postu. daverie. Pottet interim eadem operatio peragi eodem plane succeltu, Si a dexera inci Diamus, Nempe c) = e e = e in a f e Facir - a e - e3; & (Tub. ductione facta) reliduum a f a c. Tum C) F ac (F ac: e ac in a + c Fa- cit a c F ac: ergo reliduum a = a e. Denique e) = a’ e (= a; d = a in a F e tacit = a = w e: e reliduum 2 a. Adeoque quoriens = c + ac = a ea 2. + da = 5 C c + 4 Fac c c tult C Vel, si in uscima operatione sumatux quoriens L a (= = ) erit reliduum = 2a e e quotiens - e + ac + a - ea ate Sedt urroris liorum mocorum pro. cedlatur, quoriens camcundem raleL AIGuE PEIUS Vbi 0