# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0718 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0718?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 694, page id 851708439:0718 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=718 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000718.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.86 # 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. O N O - C. U N F I 5. 57. Si planum hOC (per A EanTenS) secet rectam C D, I alu PHNCIO P anrequam ad d perreniat in (continuata) BD, Fic. 9. Curra Ps hac erit. Secetur planum idem (uE prius) a quoris ertatigulorum LSa; CAcque. VF CP ad CR; seu OF AP ad AP; Teu aR (= AC) ad aP. vd 10 udt 10. 58. In Speciebus, AC; = 0 RS = V: R = c AR = AC: CP. CR:: AP. A R: : a l (= AC). 2P: : 2. =1.: Y: R - 8. V: R - 0 59. Vel etiam; Continuata AP, donec secet BD (continuatam) in d: PTOBOT. TiOneS exUNE, uE priuS, 5 55, 56. 60. In Sectione hac; Curra d= A non sCCaL Axem Cuum in P (ut in Sectione quarta e quinca, in b;) Sed permanet ex eodem ejus latere, (supra planum ABDC) donec eidem occurrat in A. Si vero lupponatur Solidum turtum con- tinvari in Ce oppolito: Curra secabit axem Tuum in A; indeque ex latere con- trario (intra planum AB D C:) concinuabitur, donec eidem iterum occurrat in S. Rtque in ea continatione, prO C R = f C, habebieur CR = = c; (quia jam R cadic ex contraria parte puncti C, in recta DC continuatione. RL consequen- cer, Ordinatae ultra A, (utpore ex contraria parte,) incerprecandae Tunt Nesa- cive, cum Signo -; ue qua cira sune, interprecanda sunc Actirmatire, cum Signo +. 6T. Vrrogne catu, (Tire A d Secet, sive non Secet, CD, ut in P; hoc est sire punctum d cadat supra, sire intra D;) Currae do R concinuatae (pro simili concinuatione Solidi,) secabunt axem Tuum in A; eigne (Continuato) Occurrent icerum in S: tanto ulEra A, quanco d est cirra. Ordinataque ultra A; cadem ip (X crunt qua citra; sed cum contrario signorum + -. 62. Curraeque do As, in unum idemgne plantum cranstatae, (Si diridi Suppona- tur BD in partes aequales in punctis d,) comparebune uc in Seprima Projectione, F18: 22. Obi recta d A concinuaneur ad s: acque cum cransteruneur (quo ritetur contulio) a proprio suo sicu in ABDC plano, ad rectam A C ContInIALaM. RC. etaeque eo eildem ordinarim axplicancur in hac posicione, in ea ratione ad RS, qua est 2e ad a R. 63. Magnicudines in hac Projectione, sic detieno in Speciebus; AB = CD = K CR = + 1 R = Ab. Aa:: CD. CR:: Bd. a aR (- 64. In