# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0125 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0125?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 109, page id 85138403X:0125 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=125 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000125.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.88 # 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. EF BnarVOuOC. L, dd V: F 2 F 4 p2: aUE Z L ad V: = L2 + p. A deoque uE Om- nes V: ZL2 + p: ad cocidem = L; sic omnes OE ranentes, HOS CH, (in Pa. Tibus exiovis) 00 curre, hoc elt A O curra, ad Om- nes CC, hoc estrectum A T vel D O. HOc est (i A9. 28. p0. NAEUT A B = Z E semilicus cum rectum cum cranversum su- Pecbolae R n; _ A T vc in pacabOl: FTIE, AE Y A RH rectan- oulum, ad Y A I x quadrilineum: SIC A Y cAnZeHS, vel Ba(IS DO, ad AO curram pirabola. Feparres parcibus respective proporcionales. Quod guidem lupra inveneis convenie, ubi asem A D ac A O curram esse octendimus, UE T A n criangulem, ad idem T AR _ quadrilineum. NAM BE TFIABGOILI Y A X = =d C, ad rectingulu Y A IE = Z P V d L; hoc eHt, uc d ad vdL: HC A D ad A I. Sed ec hinc simili modo acque supra, inreniemus superficiem C’onoidis conrexim conoidis parabolici. Nempe (ob easdem parricularum Parabolici EF _ n n distinciaS ab A K,) FNIE uE C Ylindeus ex convertione superficies. PIE parallelosrammi, ad Cylindrum ex l. mili conversione paral- leloorammi Ts minus conoide hyperbolico ex convertione R SM hyperbola, (circa eandem A s reCTaM;) sic circulus radio A Y delcripeus ad conoidis superticiem conrertione AO curvae de- Scripeam. Duod e supra erasiris etiam conrenit. Nam eadem est racio circuli radio A T descripri, ad duas cerrias suxerficiei cylindricae recca TO descripEx, quae est Colidi ex Convertione Y AI rectanguli, ad Tolidum ex convertione crineuli Y A N, circa eondem AK. Ouare e eadem superticies Conoidis verovis modo proveniet. Sed incelligimus jum (non AY, Scd) A D inpunctis d aqua- CurVa Pa- licer dirilam: adeooue d A = d arirhimetice proporrionales, _ rabola. dd = A aequales, e d0= V d L, _ (propier dF drplam Fig. 36. rectae d A) cangeneS OF = N: 4 d F d L. Tcem (continuatis do AOnCCBFONIMIX CUXQUC LaNGeHEI OF OCCUrFAE in I) uc dF= 2d, ad FO: sC d d= A, 2d 01 = 2V: 4a + dL. A.: d + =dL 2 Adeoque (Iad CUIndeI AD aXCM CONITTUAELE TUM A D A ErI- angulum isosceles rectangulum, cum ADHI hrperbole (cujustum lacus rectum cum eranlversu (Ir = ,) acque AD E rectaneu- lum cujuscunque lacicudinis, (adeoque singulas C d singulis VC 18. 28.