# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0055 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0055?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 31, page id 851708439:0055 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=55 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000055.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 recognised, mean confidence 0.86 # 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. Ca L G F B R A 0. 33353 (.quippe id nec in his nec in Sexagelimalibus fieri semper Potest,) sed quod id laepe quidem tiac (ut 8 = 0. 125,) e quando id non tuc, ita tamen (ut in Seragelimalibus) ad jultum ralorem appropinquare licet, ut quamlibet minime inde ditterat: uE Z == 0. 33, aut (E major accuratio requiratur) aut etiam 3 == 0. 33333,55555, eb achue, E libet, accuratius Cum igitur axpibcia Mathemarica reguiritur, adhibendae erunt tractiones or- dinariae, auc etiam (si opuS Cic) numeri utcunque surdi: cum aurem sulticere Doltic approximat (i Pro vero lumatur rero proximum) Facilict Cu llaC methodus e latis ad eos ulus accuratd. Foret, absque hoc auxilio, id praectare: et guidem, cum laclum fuerit, difficilius la aurem hac natou i espeaie fiet. mens assequetur ralorem sic designacum uc accuratio Machemarica postularet. 123 = 12, 33333 O. 26 17 = 03. 45433 103 = = 10. 2 = O2. 4. l 4. 2. L1 V 2 = = OT. 25928 7 Siuta = 29. L4. 1511 Tinc tguris numerariis habeti postet. HoC CR 29_ proxime. Ouod lacilius mene alteguitur quam si scriberetur 26, 836. + V2 + V: 3 = V2. Seu haec delignacio multo est commodior quam Ouodque de Additione dictum est, paricer de Subductione intellisatur. Puts S ex T0Z Subcrahendum sIt 3,7. Auc ex axpresato prius potico Tubirahere opOr. reac 3. Ouod sic pelticiendum ett; 103 = 10.5 2824137 32 = 03.43433= Lchid. = 07.04545 7 Retid. = 28. 96537 4 Si autem summma lupramemorata, Mulciplicanda Foret per q, hoc est per 4. 18596 + aur 4. 18597 -: Id hc tacile het ut in numeris intesris. 2924. 1377 4. 18597- 20468050 263172.33 T. 4620685 2. 3393096 2. 924. T37 176, 96548 122.4034075789 Ded he maxime carendum erie, i sius cuique loco ralor conserretur, relle Duoe sant in utrogue Factore (live aequales illi fuerine sive in ́quales) loci partium decimatium, tolidem reputandi sunt in Facto. Prout enim, in communi Mulciplicatione, I P’actor alter vel uterque Ciphris Cuna vel pluribus) cerminetur; his sepoltis, peragenda est in reliquis sGurIS operatio, acque tandem ior reponenda Cuphra quor erant in uroque tactore. (Puta 200 I 3000 Faciu 600000.) Pariter in partibus decimalibus. Puta, in propolito exemplo; Cu LuIC t Factore parrium decimalium loci 5, ee in altero itidem s; erunt in Producto, Joci 10. Adeoque posteriores loci r0, tunc puncto Peu linea Separatrice separandi pro locis partium decimalium; relictis iribus reliquis pro Intexrorum locis. N que actignetur Unitatum locus. Ouod ut tiat, haec docebit resula