# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0545 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0545?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 521, page id 851708439:0545 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=545 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000545.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine # Lines: 111 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. Cap. IV. l AR TES ABIQUOT F. C. Si Palrem criplari POSTIE MMETUS F3 in A repertS, act O. 207. Id tiet uno ex his quatuor modis; riz. ACumpeis O. 3 _ 29; vel O. 3 et 263: vel 9. 29 e 263; vel 2OF Tolo. (Non aurem ex simul omnibus, per jam osten (a.) Vidc H, C, V, a. TT. T. Si primo modo. Tum, ad 9. 29, introducitur 67. Oui (ut ter habeatur) inducendi crune duo exhis cribus, 2. 37,263, 439. Adeoque rel O. 163 cum uno ex reli- quiS; vel (hoc omisso) reliqui duo, . 37 e 430. Vide C, M. T. Si O, 763 sIC unuS; tum (Propter F9 ibi compa- rencem) cimul inducendi Tunc 9. 7, ec FT; simulque rel . 37, vel 9. 439. Vide K, L. R. Si Cimul inducatur . 37; cum habebitur 3 jam quar- ta vice: Adeoque bis porro lumendus, quo hrabeatur (CX 1C5. Sed neuter haberi potest ex 9. 439; Ouia sic inducere. EUT 67 Guarta vice. ErSO (H omnino) bis sumendus est 3, ex 967, et 499. EE (prOPTer 109 bis comparentem) allumendus cst 2. 263. Jam autem hrabebitur 23 quarta vice; Adeoque (vcta- Beatur Sexies) altumendus cst O. XOT. AC rero jam hahebitur 2 decies; Ouod Faciendum non est nisi Pollet (quod non Docolt) haberi duodecies. Omit. Lendus er BO est 2. 37. L. Videndum itaque, num (omitso . 37.) Tumi poF SIE (Cum O. 163.) 9. 439. RerentO C 163 (adeoque 9. 7 _ TE,) si altumattir 2430; habebicur 3 jam quarca viee. Oui iraque bis por. ro inducendus est quo habeatur Pezies. Scd non ex O. 37, (upore modo rejecto, de qui intro- duceret 67 jam quarta vicee;) Erso (li omnino) ex 67 ∞ 400. Onde limul inducetur 1. 263. adeoque et O. 792. UE prius. Id si tiac; jam habebitur 3F quarta vice. Oui jeaque bis porro inducendus est quo habcatur (exics. Hic aucem 499 (3, 7, 109 7V non aliti comparet quam ad . 4 et . 5. Ouorum qui 263 7,7, L5, 109 dem alier admitri pocest (O. 5.) Sed non uterque; Quia 19Y (2, 15, 13, 3F O. 4 Concinetur in O 8. EF PTOPterCA O. 163 Omitten. d118. H. Prospiciendum erso, an (omilto 9. 263, adeoque 97, _t TF,) recentis O. 3 e 29, alliimendi (inc D. 37, et 430, pro numero 67 criplando. Secus enim primus modus non procecit. Cunque jam 3r habetur bis, habendus exit cerria vice. Non autem ex O. 4; uc qui concinetur in 9. 8. Adeoque nec quarca vice admiti debet, cum (exelulo 4) non 4 3 Doltic sexies. Sumendus erso erir vet ex 9. 5, vel 1. 67, vel 438 3, 34, 31,67) D TOT. vide N, O, P. NV. Si ex O. 5 Detatur 3F (quod Feri potest;) decrit tamen alter 7; ur qui adhuc non nisi bis habetur. Hlic autem non lumendus eric ex 9. 2, ut qui ineluditur in O. 8. Neque ex 2. 263, urpore jam rejecto. Neque ex O. TI, ut qui excluditur una cum 263. HCaVC ex O, 67, aut O. TOF (una cum O. 5) quia SiC indUICCEUE 3 F quar- ia vice Neque ex 9. 499, quia non porest hie consiltere absque 9. 263. Ne- que ex his urisque simul, quia Sic habebitur7 quinquies; nec tamen porelt sexies, propier jam exclutos exreros ubi Z comparet. Omitrendus erso exie. 1. 5. V uu G 107 2 12.7 F27 77F3, T27 23,67 163 3, 7, 79, 67 B, 10 79. 79 33 736 37 439 13,32, 37,67 8) T2.) 20 3, +27 107. 77 13, 227 20 1 13, 67 163, 3,7, 29,67 E 4.99 263 19 337, 67 33 D D 3377 109, 709 2, 7, T3, 709 T9F17, T3, 13,3 25 12 33 227 L213, 127 29 13, 67 163 3,7, 29, 67 TF 3 TC 79 29 333F, 37,67 3377 733 8 . X27 293, 72.7 107 2, 43, 727 29,23, 67 2 6