# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0128 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0128?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 112, page id 85138403X:0128 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=128 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000128.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 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. Aes A e C Curvarum EoDoroS, hoc est, ut omnes v L, ad omnes V: L + = P hoc eAt, ut Onnes L, ad omnes V: L F ZpL: SIC AT recta, ad curvam AO. HOC est, ue parallelogrammum cujis lacicudo L alcicudo P= A T: ad rruncum parabolae aequealeumr, cujus lacuS rectum Z L, O:dinacim applicaca minima L, adeoque al- ticudo abscissa Z L. Oux quidem cum supra tendiris convenire, qui examinarerie, deprehendec. (Nocandum inceim L quohic delionitur lacus rectum paraboloidis demicubicalis, illic detio- nari lacus rectum Parabole, unde Paraholoides illa originem du- CIC.) Aeque hinc eriam conoidis suverticies simili modo collioi- EUE, acque illic; uc nOn sIE ODUS redetere. Idem similicer in aliis non paucis Paraboloidum generi bus obcinebitur. Verbi gratia. Cunco ordinitim-opplicatae d0 = A C, in diamCEEOruIM Patione subquinmplicatae quadruplicata. Fc proprerer d F ad d A, uE 5 ad 4: e cS adCA, uC 4 dd 5. Sumpris AC, AE, drichmetice prozorcionalibus, quae dicaneur p. earumque communis excessus A=a CF, diameter d A = d + = pN+ P. Fric cangenSOS = V: 35p = + p V: = p 15 + Y B: TLEM, UE CS = 5 P, ad 05: sic bO= EE = A, ad Oc= AV: 2+ EEY G. ErBO, ut omnes A, ad omnes AV: 2 4+ 3V P: hoc est, uc coridem L, ad coridem V: L2 + 25F V pL: (C AT recta, ad curramm AO. Nempe, uE Parallelogram- um, ad AgurX eruncum, cujus ordinLIM- apPlICAEX SINE V: P + 23 F VP L. Similirer: Si essene ordinacim applicatae in diz merrorum ratione sub sepruplicarae sextuplicata, auc subnoncuplicat octuplicata, 5c. in intinitum: Juas Onnes Pariter ev BwiO= Co5 capaces recte osserit Heuracius. (Elxe autem omnes, à Pacaboloide Piguadraricali, Dicubicalis Trigundearicali, carerisque guarum Poreltares a numero pari denominantur, eodem planemode de- TIVINTUE, Paraboloi- dum alia rum Curvae