# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0620 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0620?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 596, page id 851708439:0620 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=620 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000620.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.74 # 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. DE SECTTOHEBUS. Cap. IX. 2F. Similiter: Si ONX Sic Angulus Fxera circulum; ejusque Crura Circumse. rentiam secent in P r. Sicque ad Centrum Angulus similicer sIcus BCB: e VFD diameter producta. Fum (per 56,) OD = PF = 2B =2BD. ErgO, OD =XD, dempris P F F n F, aequabun 2BD = 2 d l D = 2BB. cer, sed Fansat. Nam cum, punctis P Q, auc n X auc ucrisque, coincidenti buS; CxTCrA PTOCCdEHL uE PriuS. Nam etiamnum OD - P F = Z BD; et XB- nF = 2BD. L130(summa ret ditterencia) QX P n = ZBB. 22. Idem intelligendum elt li Crutum alterum vel vcrumgie C Heutum non Se. leurite 23. Sed, S Crurum alterum, vel ucrumque, Circulum transeat, (eum neque secans, neque tangens;) Id ad praesens negorium non spectat. Ouippe talis An- sulus non infiltic arcui Circulari Oux itaque particulatim ostenta sune; huic Generali aequipollent: 24. Si Circulus secetur (AULTANSaCE) duabus Rectis, angulum facientibus, (adeoque, S contmmentur, se muruo deculsancibus:) Segresatum (h Interlectio lic Tnera Circulum) vel Differentia (R EXera) duorum Arcuum ipsis (A OpuS, productis,) interceptorum: vel (B incerlectio sic in ipta Cireum ferentia) Arcus unicus ipsis interceptus; Aquatur Duplo Areus intercepri Cruribus aneuili a- quasis ad centrum posit. (L . (1 E 5= CL i 15 siit 1B . L Cl e) Libet hic subjungere Responsa mea ad Problemata quaedam ex Callia de Beleio ad Societatem Recram Lonaini missa; quae ee ipla Circulares AreUS respiCILnE. Non quod ea sinc vel magni (quancum rideo) momenei, vel masna disticulta- tis: sed quod uc calia fuerinc Societati Resix proposica; aeque ab eis mitii deman- data; quibus obcemperandum centui. s 1 ec D a le