# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0598 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0598?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 574, page id 851708439:0598 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=598 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000598.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.85 # 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. F. SFCTTONTBUS. 8. Adeoque D9 =B9 = CF - C A. Per 54, 7 Cap. V 9. Vel; Sunco oppolica Lacera A, C; et A, D; Diasonales B, L. Til et, BF = AD = AG. EF A) BF - AD (C 20. Vel; Sumco oppotica L atera B, C; de A, C, Dinconales C, D. Tum TT. Adcoque BF = AD = CD- BC. Der 69, 10. 22. Maniteltum cst; hine interri posse, Aquationes d Analosias magno n- mero: Magnamque Pheorematum variccarem, pro vullecate Catuum; pariter ac in Capicibus praecedent bus factum est. Sed eis parciclachu recentendis abstinco. 23. Scd a Tinslilis harum Constructionum (valoribus B, C, D, L vels CognItIS per ance cradita,) habebimus (Aiquationibus rite ordinaris:) 3 12RCCA = 191GGHCY8R9AC9 = AC99 Y ACCCCG. = ACCCC. elt, CD = BC = AC. FL A Vet, GRCqV: +R4 Acqr: 4Rq = A9: A9: = +2RCCA = FORg9AC F 8R9AC9 = ACG9. EE (Sumptis OM2- draris) +VGRCCCC =GGRCCgqA9 = 1A+LCCCCA9= 456RCC99A99 tS53RCCqACC = 328RCCACC9 f 102 R99ACC99 = 26R9ACCCC 14. Hloc est (omnibus per 4 R g = A9 cHHS,) RCC99C9 = 36RCC9GA9 105 Rcc9A94 F 21Z RCCACC = 54 R49ACC9 F 12R9ACC99 15. Tujus Aquationis sunc omnino Sex Radices planae, toridem planis A9 re. spondenres; quarum Radices quadrarieae sunc ip(a A. Ouxe sune cotidem Recta ab uno aliquo Circumterentiae Puncto, ad Sex Angulos inseripri regularis FlCNa soni alclae. Adeoque, una aliqua carum cognita, habeneur Reliqua. LF LimI- licer in aliis ejulmodi Aquationibus 16. LX quibus, DUx Mimm_ A, F, (quae Tubrendune, ex uno latere, Arcui Sextance Mmori; _, ex altero lacere, Areui quinque sextancibus Majori:) Dua- que Marimae, X, Z, (quae Subcendune ArcubuIS qui sunc Majores quam Duo Sex- tances, sed MinOreS qua OUALIOT SEKIanIES,) tunE ractICCS ABITIAHVA; (PrOpter Luvientam Dupli, minorem tubcenta Ouacrupli; adcoque Dg = Bq quancicaiem Armatiram:). Sed incermedix Duae L, K, ( qua subcendune, ex uno latere, AI- cubus qui Majores sunt Uno Sextante led Minores duobus; ex altero lacere, ArCU. bilo