# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0617 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0617?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 597, page id 851387705:0617 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=617 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000617.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 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. atio ACCet 3u8V PrOP. V. Et Motuum Declivitates. tudines sint xequales; in ratione Conderum: Si Pondera e Altitudi- nes, vel utraque sinc aqualia, vel snt Recipioce proporcionalia; Aguipollent. FE univertalites, Virium Mocricium quarumcungue Proprestis Re. sressulre, pollent inratione, quae ex ratione Virium, et Proorestuum Rexrestuumre secunclum lineani Directionis Virium aectimatorum, componitur. tue silse Crarium Descensus, invicem comparati, in ea ratione pollent, qua ex Ponderum ratione et ratione Alcicudinum Delcentuum compon nitur. Acque ACcensus similiter. Adeoque; Si Pondera sint aequalia; inratione Altitudinum: Si AIEi- LD. C: nt D. nC PD. Ci: mnt D. nnCI. PD. C:: meD. mCe neD. C: n D. C5. sit B. L) C s t CI1B 1V. V. neD. nC: meD. me yp B: Ia EBL AnED. mncs: PD. C locu eI 8. DOc; Si Grave ut P, pet D descendens, valet ut Ce; etiam alterum P (exeteris F18,. 32, paribus) cancundem descendens, valebit uc C alcerum; certium, ur cerrium, (3c. 33, 34 Adeoque nP, uEn C; in ratione Ponderum. Per 7 Cap. F. Trem; Si Ponderis uE P, descen suS per D, valet ut C: ejuldem Ponderis l ex- ceris paribus) per D alterum descensus, tantundem ralebit; adeoque ut alterum C: per tercium, ut cercium, ec. AdeOquE Per MD, u m C; in ratione Alcicudi. NUM. Per 7 Cap. T. Si itague Pondus P, per D descendens, ralet ut CF: etiam n P, per D detcen dens, ralebit uen C: Adeoque, per mD delcendens, ue mnCi; (ut ostensum est:) Hoc est; in ratione ex Ponderum ec Alcicudinum racionibus compotia, (Der Z Cap. F. ) Ouod erat probandum. Ouae quidem rationes si sint Reciprocae; quae ex his componitur, squalicas est. DeF 47 6, Cap. F Simuster de Ascensu judicassdum. E.E in alia quaris VMorice, similiter octendetur dC LLL. L I. et similiter demonstrari, acque in capite praecedente tactum ct, in PTOP. 13 24u 25, 16. iem, 17, 26, 29, 20. irem, 22, 23, 24,25. Quum aurem illud letiet EFF icerumque, Poret quidem haec, ec subseguentium Propotitionum aliquor in plures distratiis