# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0592 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0592?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 568, page id 851708439:0592 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=592 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000592.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 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. a stad. 0 ad 36. E SECTIONL D. IV. dLC LCc R9 F R99 c acq Scad. 324 del 360. 268... 324 208.... 144. 5T. + A erad. ra.. . . 280. + 5MI - R9. RgC c- NC9 l9 R94 c 1,c9. R9 R99 NC ACq R9 = R9q A Bract. 180... 216. E pro communi cermino, seu puncto connerionis, horum Incervallorum; per. inde cst ad vcrumris urrinque positorum reFCraTIE. PULa, Pro grad. 36, sive ad E sire ad A: F.F pro Or. 72, lire ad Alre ad HI. EL PEO CxICrIS ParitEY. 209. Tlinc sequitur Oumeuplex AEquario, Radices Ouinque continens. SRGGF. SRGL. C. F F C9 = 5Rg9A -- sR9AC F AC9 = (RgqF =) -- sR99V FSRgHC- NC9 = - sRg9L FSRgL C- LC9= fSR94M - SRGNC + MC9. EE Jam, quoniam sR g9A = sR qA C + A Cq = SRgAF LS RgEC. L KCq; d, transponendo, sAgqA - sRggF ==sRgAC = SRgCC - AC9 Y F Cg. FrgO(omni- buS per A = C diritis) 5R99 - AC = F. C A- F. TTI. Sed (per 13, 24, 25, Cap. 2, AC -FC tC - F C A = F NCg= L Cg. =A9. + AE + Eg - 3 RQ. FI8O ACG LCA = 10R94. A F Deq - FCat Hioc est ACg FCA = A99 + ACF + A9E9F AEC + R. 44. ErG0, A99. + A CF. + AgEq F AEC f F99 = 10R99. 223. Seclangulus cruribus A, F, concencus; est gractuum r4 4. Vipoto angulus in Peripheria in Ciltens arcui gractuum 288, seu Z tocius. F. r8O, 224. Disserenia Duadricuborum (seu Supersolidorum) crurum continentium angulum eraduum 244: Divisa per differentiam Crurum: Squatur 10 Biquadra- iis Radii circuli circum seripti. (PexS XTT. ) HOCCA, (per S TI2.) 775. Biquadrata Crurum concinencium angulum graduum 244 una cum Fribus mediis Proportionalibus inter ea Biquadrata: S quantur 20 Biquadratis Radi Circuli circumseripti. 226. FIt aurem hujus Frianguli Batis, Lacus inseripei Pentasoni regularis, sive subrenta Bcadtuum 72. Adeoque (per 53 F) CAtRV =. Dujusque quadracum 1E R g. Fr viquadtarum eMt 30 = 10 1E 299 - 15 - 5 Y5 X 44. 0u0d elt, act 20RqG, ut 2 3 ad 10; Teu, u1 3 - Y5 ad 4. F1B0, 227. Differentia Duadricuborum crurum continencium angulum eraduum 1447 Divisa per Differentiam eorundem Crurum: Deu, Biquadrata crurum continenti- um illum meulum, una cum Tribus Mediis proporcionalibus inter illa Biquadrata: Sunc, ad Diquadratum Basis illum anculum subiendencis, ut 4 ad 3- 15. 12B. Trem; Ouia (per 5109, )5R gGHI - s RgMC L MC9 = (R g9F =) SRG9A -= 5R9AC F AC9, (eltque M major quam A: ) FFBO, UE in 8 LTO, TTT. 2... 288. 16... 252