# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0274 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0274?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 250, page id 851708439:0274 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=274 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000274.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 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. 1. (et = 4 Ve e F 4 VP = O) DEXLenEL COMTCMIE Occasioni. Sunt enim illX, c = 21, 8 2=21 (inter se aequales, proprer Cacacu scu Coetticientis 2 ly aequale ablo. tione provonencis) a b, 6, numeri Policiri. ed - 5105 + 9IV et = 7D ee- mn + 5Imn = 4 IIM n orcira, Lia D. LLLL. 28. Diritione sic expedita, Aquatio composica in duas resolvitur; quaruin alle. ram Dividentem voco, alteram MvaM. LFIOT, ex ex illis radicibus planis, Du- aS continet; Polterior, reliquas OuatuOr. Sed neurra duarum in Dividente lucae magnicudini 4. II.) FF propterca (cum, per constructionem, (I c = 2 a 21= 2a a, _V = a a. Omod Heri non potelt (prOpter V = aa = bc) nili tE b0 =0. Quod exposica Ouxstio non permictic. Prxsimuntur enim (ex inten. 29. Rellacixicur, uc quaelica radix lic talem una illarum quatuor in aequatione 274- 1 2 1 1110 30. Agnatio haec Biquacratica, non facile diriditur in duas Ouadraricas, (tal- tem non universaliter, prour in Specrebus comparet; utuctieri pollit ue in parcieu- laribus quibusdam calitus hrujusmodi diritioni locus ese Doltic.) Oporcebu isi cur (numerica excsc) Vatblem Vero proximum exquirere: arque ex Duacuor (quad continet) radicibus, calu egere (unam vel plures) qua praelenti negorio 22. Cumque sic invencus elt ralor radieis ee; habemus ralorem a a = Z e c. adeoque a = V : ee. Oui unus est ex numeris qualitis. Indeque habentur b, ma f. Y: oKa. = + 2 Inaa t mmaa + 4 VIn: 2In = 2n a a ma = V: 8na = +2 Inaa +mmaa F q Un: 32. Vel Cic. Ouoniam a a f bc = 1, adeoque 1 - a a = bc, 8 a = a = aVb. Trerumque bb. f aC = m, ad eoque m = B b = ac, _ mb - B3 = a bc: Fr~O mb -- b =1a = a. Cum itaque innoreseant m, L,a; habebimus b, relotrendo 33. Flujus aequationts Cubica radix (falrem ex tribus una,) est b quaesitorum 34. Tum, propter aa F b6 =1; adeoque I - a a = - b c; habetur certius c = Ace Heo quaelivi an b, 6. lic accommoda. _ C, Per STF, e 23. Nimirum, hane Cubicam A quationem m B - B =- la = a3 tD. LX numerorum secundus. Generalis Inguisitionis accommodatio ad casum praeset. numeri politiri Racedentia duo capua (diverta describendi torma) Ouaeltionis solurio. nem Generalem exponunt. Cum hac Salcem limicatione, uE FinE a, b, C, Libet jam, generalem illam Tolurionem, expoulo carus Palllea accomtuo. dare, (quod ului este polli specimltis loco, pro lml i allis problemaris ac. commodatione.) Obi (pro commodiori Curatione) Sectionum numeros (capire praecedence inchoatos) COnnamUS. 35. Outa