# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0114 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0114?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 90, page id 851708439:0114 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=114 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000114.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.78 # 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. A I C E B R A. Cd f. LL1L2. AIernA 5, 9A = a. B = B: 6 20A = B. a = B: TT a = A. B=B 21 + B. A. 8 16 A. B F A: 10 18 a + TT~ 79 BF B. X2∞ 20B F. a. B F Conrerta T. ZL A. A = a:: A 2 B B F A. B 22~ 26 A. 2 ae 24 28 B. b 8. a = B :: A + a. B L C :: A + B. c :: a = A. B = B vide 10. vide 13 ide 14 vide 11. dc 12. ride 9. a. B. j: : A. B: : A = 8. P L 8. B . P Invella 5 2∞ (22 3 23∞ (27 Mrerla 2T~ 20- a. 23 24 25 26 34 7 e 2836 B. B HIXta T= 37 A d. A - :. B = e. D = 4 2 38 A F B. A- B:: a- 8 39 A. a A:: B F B. B- B 4 40B. A. B A:: B qu e. B a Alterna 37 4c A f a. B. F B:: A- - a. B B. 38 42 A. f B. a = B:: A. B. a B. 39 (4.3 a - A. B B:: a A. B B. 40 44. B. F. A. B F a:: B A. B e. Inverta 372 45 A - a. A f a:: B B. B L B. 38- 46 A. B. A ]B:: a B. a FB. 39 47 a A. a F A:: B- B. B F B. 40 48B A. B A:: B. a. B. f a. 42 40B F B. A f a:: B B. A- a 42 50 a. F B. A F B:: a - B. A. B. 43 5E B+ B. a F A:: B B. a- A. 44 52 B f a. B F A:: B. a. B A. Acteoque, s in trorum uno aliquo ralet proportio; valet de in tingulis. Probationes breviter subjunctae, sume iniellectu non disticiles. Ad primam subo jungitur explicatio; nempe A. a:: B. B, cancundem est (per detimitionem propor. cionalium) ac = = - (quod paricer incelligendum est ubique): e (ductis uiris. que in a B,) AB = aB, tactum ab extremis aequale facto ex mediis: quod pariter libique valet. Ad 2. PTOPTer AB = a B (quod jam ostensum est) divitis utrisque Per BB, Fc - = -; hoc est A. B:: a. P. Aique haec alternatio semet probata; pariter intel ligenda est in omnibus Alcernis post cicacis. Ad 5. Pcoper = = - (per primam) eric (utrinque adelico vel tublato 2, ) B. B= B _ B = a e B. B= B. B. B+ B :: B F A. B +c D 25 + B. Per alternam g: quia a. B:: A. B. Sed 52B. F A. B 1 L B. :: B F B. B :: B = a. B :: B + B. A + a. B. A + B B. a :: B+ B. a F A. A Alcerna 21. 22 30 A =B. 33 B. A . A vlele 16. la 230 - FrC a B. +B B-