# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0116 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0116?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 92, page id 851708439:0116 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=116 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000116.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine # Lines: 67 recognised, mean confidence 0.81 # 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. Y. G F B R A. LidP. L1 vero - = = ; hoc est B, P = . : A. a. Pariterque a. B =;: A. B. F simulicer in alis Inversontous. Tlem; DEOpter AB = a. B, adeoque a B = AB; dixitis utrisque Per AB, erit L =; hoc est a. A =: : P. B: Oux est Tuversio. Paricerque ( dirisis cildem per a A )eric B. A L:: P. c. ( in B vat A Sup B Et Componendo, leu Dividendo; Propter - = -, adeoque = + 1 = - + L seu A F a BLB ; eic A F a. a =:: B + B. 8. e B ss ta ss c .Cesc Cumque sic (invercendo) - = =; adeoque r. f = = 1 + =, C propter mi- A F ∞ B F B A adsit B nus additum) teu = - = hoc est A + a. A =: : B. + B. B: erit (ile rum invercendo) A. A F a =:: B. B. F B. Oux est Conversio rationis per viam Compositionis. COntrA verO; 2 = = = L =- (propier minus ablacum,) seu -- = hoc est A - e. A =:: B B. B: iterumque invertendo, A. A = a : : B. B -- B. Oux est Conversiorationis per viam Divisionis. Cumque GC (per convertionem rationis - -- = ; _ C per inversam sC) ett s sit si um e. :al et si (A + a B B compositxe) -- = --: F.ric (Propter minus ablatum d majori COcO) Retiduum A f a B FB 5 A F B. L B Hoc est A - a. A f a = :: B = B. B F B. F. L (invertendo) A. + a =:: B. +. B. B - 6 Hoc est; Si FE A Alternando A. Invercendo Z. Componendor a ta Rric L Fc dividendos A +B A. Convertendo ) A. A c B a - B .. B. B :: a. a = 1 B. B C Mixrim :: d. a - b A +a. A- a -:: B LB. B B EA F B. A BC:: a+B. a Ft parsex in rellquis; quod inquirenris sagacicas facile inveltixabic: VE nOn SiE opus id lingulatim ostendere. Sed nec alios iridem arxumentandi modos (ab his deriratos) opus erie parrieu- lacim ostendere: Sultieir urique eos enumerasse qui lunc praecipui, ee Frequentioris utus. Paucos tamen ab Ouehcredo tradicos libet hic subjunsere; qui praecedenti schemati non commode ilererentur. Si quodibet magnitudines lint proportionales, (Puca L. . . b. .. l. 3: :d. _cC.) eriu ut unus antecedens, ad suum consequenrem; sic lumma anrecedemtium ad summam consequentium. Puca A. a:: A FB f C F D etc. 8 f B. + y + d dc. quoreunque tuexin. Nami :: 8. :: B. B =:: B +B +B