# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0127 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0127?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 111, page id 85138403X:0127 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=127 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000127.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.84 # 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. Et TINaNOuIS. aequalibus rectis ob in diltantiis ab A Y arithmetice PFOXOR- eionalibus conversis delcripra, arichmetice proporcionalia; eo- rumque distantiis ab A D in illarum raciore Cubcluplicata; adeo- que iplorum monenta uc series a v a: coruindem rero planorum in diltantiis maximae aequalibus, hoc estcirculi eadio YO de sCrIPEI, mOmentum, uc series a:) ad momentum circuli radio 2O delcripci respectu AD recae: uc series a v an ad seriem a: dd COGVC NE 5, de Z: l. Ve UC 4, dd 5. FEpropterea, data (uPer- ficiei mognicudine, dabitur ejuiIdem CeMLEUM STAVILAEIS. Cum aurem (ue vides) in demonstrationibus assumpserim, MInC OC, nunS OI, Congencium paruiculas, in diril. Onibus exi- ouis iphi 00 currae Particulis coincide: e: ne hxelITeS CAIen nuM hoctemerefecerim; id curo factum incelligis, modo omimad vereas rectas oi, oc, angulo concoctus subrentas, prodimi- nucione oC, Oi, CinGenciuM, ica minuI, uc illxe ad h.S racionem candem lubeanedaca quavis mino: e, (secus enim, angulus recti- lineus allignari pesset angulo contdctus minor,) ideoque evane- cencibus Ol, oc, congenci e curra incerjectis, coincidene, tum Oc,cum oi, caggencis particula, Parriculis currae 00. In Paraboloide semi cubicali, QUA CUPEA MeIOTAVIIUIS, CimI: Paraboloi- liter atoue in Parabolu, ver Tenseuces item id iptum expediri des semisu- Porle, quod per subcensas superius absolrimus, paucis oltendam. bicalis, Incelligntur iraque AO Ag. 36. (non jom Parobola, Sed) Poraboloides Cemicubicalis: cujus nempe ordinatim- spelicaca do = AC, Sine in diameerorum d a ratione subiriplicatae dupli- cara: (ad eoque d A dinmeeri in iplarum A e ratione sub dupli- carae triplicata:) TF propterea dE de d A, uc 3 dd 2; _ CS dd FI8. 36. CA, UE 2 ad 3. Sumpeis icaque AC, AF, arichmetice- proPOrtiO- nalibus, quae dicantur p, earumque communis excessus A= 1B, alameter verO d A = d = V: Fric CARISenS OS = V: = p= F ==pr. =. + 2 2Y. Tre UE ES = ZP, 2d 05: CDOL ECF 1, 2d0c X= L 3 LYBO, WE OMHCS L, ac O- 11C8