# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:1047 # Permalink to this reading: https://leibnizlegible.com/page/851387705:1047?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 1027, page id 851387705:1047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1047 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.89 # 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. seu Restenione. C; DEF PTOP. 3. Cap. FT. Oua utrobique addita, Fic Graris A, celericas = 5C; dt Gravis B, celericas = C + + HIoc elt, prortum utraque et celeritatibus permutatis. Aiter. Sint Crravia illa aequalia A, B; Sitque antecedentis B, celeritas sC; insequen- tis A, celeritas (major) rC =sC. F FC. Cum ieaque tic utrique communis ce leritas sC, tancundem est (comprestionem quod spectat) acque si uerobique ab- eACC; (DEF PTOD. 4. hujus.) Adeoque Sequens A, celericatis excessii FC, imvin. seret in B quiescens. Duo catu terretur B, postcontactum, celerirate LC. (quX tuerat insequentis A,) A vero (quiescens utique) celeritate OC; DeF DFOP. 5 hujus. Si itaque urrigue reltituatur, qua communis fuerar, celeritas sC (modo dempra;) habebitur celeritas A, OC. f sC =sC; et celeriras B, +C. fsC =rC: HToc ct, terencur utraque ad ealdem partes, celeriratibus permuratis. PROP. Si duo Graria (Flastica) invicem aequaliaque Celeritaribus inaequalibus (per eandem rectam ad contrarias partes) sibi mutuo directe oc- CUrTAnE: Ferencus deinceps ad partes contrarias, Celeritaribus in- ricem permutatis. FEe Cravium aequalium A, B, veriusvis pondus mX; illius vero cetericas, r. C. Fif. 302. D(prortum;) hujus vero =sC (recrortum;) Sicque r. F 5 = 2. Frit momen cum illius, Lmr PC; hujus, = msP C: Adeoque Elateris (qui utrumque sulti- net) Vis relticurira (Tetui aegualis) m r~ C L m 5V C = n ZZ C: DET PEOP. TF. Cap. TT. Oux, aqualiter se uerinque explicans, vi dimidia Z m 2 P C ucrumque repellic; adeoque, propier pondus m D urrobique, contert Grari A celeritatem 22C = - C (retrortum;) ee Cravi B celericatem + L2C. = +s prortum.) Sed et terenda CranE vraque (SI F. later nullus eHtet) celeritare ==C; Per PrOB. 4. Cap. FI. Ouxe h urrobigue addatur; habebieur celericas A, SC+-C = = sC (TetOrTuM;) B vero, . 1 Y = C. +. (prortum:) Hoc eli, ad parces concrarias, celeriratibus permutaris. Aliter. C.- FrC Sit Gravis A celeritas (prortum) rC = sC + EC; e Gravis B (eidem X gu lis) celeriras =sC (retrortum;) qua sibi muruo directe Occurrane. Conigne habeatur urinque celeritas sC, sed ad concrarias paries; terrencur polt contactum (propier has celerirates) A quidem, celeritare = sC. (rerrortum;) B vero, cete FITATE L SC (PTOKTUM;) Per DEOP. 3. hujus. Sin demi incetligantur celeritares txe; relinquetur Ccrari A, celeritas + C, qua teratur in B ut quie(CenS: FL, prop. tex hanc celeritarem, ferrecur B (prortum) celexirate TCi; et A (quiescens) cele- ritate OC: per proP. 5. hujus. Oux li prius memoratis respectire addancur: hrabebitur Celeritas A, = sC = OC = = sC (rerrortum;) e celericas B, + sC F ZC FrC. (DEORtUM;) IIOC elt, ad concrarias partes, celeriratibus DerMU. FaFIS. Mabus aliter. Sinc Graria aequalia A, B, quae sibi mucto directo occurrant; A quidem ce tericate rC. = 5C. = LC. prortum; et B, celeritate = sC. (rerrortum.) Incelligacur 0000002 AUeM Pxop. V