# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0713 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0713?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 689, page id 851708439:0713 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=713 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000713.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.80 # 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. C. O N O - C, W N F. U 5. 36. Magnicudines hujus Sectionis, sic deo occs, R2- DC. DR:: DC. DP:: CC. RP. P. aR = AC = R. R FC 2 P = aR - Rp = A - + aR. aP:: RS. p0. A. A- EB:: V: P - 8. AR = bR = bC dA =DC 27. Si planum hoc (per D cransiens) secet punctum aliquod b, in recta AB, priusquam pertinsat ad c in continuatione rectae CA, Vic. 6: Currae proprietas haec Crit. Secetur planum hoc, uc prius, in eo, a quoris criangulorum RSa. Frirgue, OT bB ad ba; seu OFBD ad be; Ieu, OF BD (Teu 2 F ) ad 2P: Sic RS ad Ps. 38. In SpeciEbuS, Sic; 26 = s BB. 6a:: bD. bp:: BD (== A C = = a 1). aP: . 15. p0. V:: A:: V: c V. ad b. a 20. Vet eriam; concinuata DB donec SCCEt C. A (continaCaM) in C; prOpor tiones crunt ut prius, in 535, 36. 40. Sed cum hac diverticate; Curra Dobq Sccabit axem suum in B; eriegue pars bq ad concrarium latus axis, planique ABDC, in oppolico Solido. FL, Con- TOnanIET, (PTOPEEF RP majorem, hoc catu, quam a R) crune ap e es quancita. tes Negatirae: Cadente ap ultra verricem AB, qua SupponitE CuTa; e ps intra planum ABDC, quae lupponitur Tupra. AF. Veroque calu (sire DC Sccet, sire non secet verricem AB,) CurVX D∞C Continuarae (prour continuari supponitur Colidum) occurrent icerum axibus suis (Concinuatis) in s; tanco ulera c, quanto D est cira. EE si incerim AXis DS SC cet verricem BA, ejulre concinuationem ultra A; curra secabic in eodem puncto Axem suum, ec (iranticu tacto ad larus opposicum) eidem icerum occurret in S. 42. FIx Currae, uroque calu, (live De secer, sire non secet rectam BA,) si recta C A diridatur in aequales partes d rectis DC; &e projiciantur Curra in idem aliquod planum: comparebum uc in Ouinca Projectione, F15. 20. Ubi recta DC concinuala ad s, remorentur a sede lua in plano ABCD (pro virancta contu lione