# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:1027 # Permalink to this reading: https://leibnizlegible.com/page/851387705:1027?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 1007, page id 851387705:1027 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1027 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001027.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 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. PFOP. VII. De eusta. 100 Obex trmuS, ictum quod spectat, tancundem retistit quantum directe occurrens impecu aequali, (utrobique enim lillitur impinsens Crare: ) rerum illic ietus aqui Dollet urriueris duplo; per prop. (eq. Erso et hic. Similiter. Ostendecur idem ex prop. JA. Nempe, I duo Cravia uicunque inequalia, quibul- cunque celericaribus, directe occurranc; oltendlicue ictus magnirudlo m. + n adeoque si intellisatur Obieis celeritas sC =OC (guippe nulla;) Teu quancumris exigua; adeoque pondusn P = ∞ P intinicum (nam nisi hOC BONaEUY, PFOPtEF =0, momentum nsL C non Euttinebic vim impactam, ) erie t Z mn PC ∞ = m 2MY PC = ZMI PC (Nam prOprer e intinitum, canmudem CTHE ∞ = m ollciP A O P. S WIF, 1. 1 CtWWIBIEE LAI CI Si duo Cara guatta agualious celeritalibus: vel naquasia, cele- ricalibus ccipioce plopbtionalibus; sb mucuo directe occurrant: Ictus magnitudo aequipollet momentis sunul utriusque; seu uerius ris dup. POca, hHL Ctavis H, Bondus. m F, celericas, rCn adeoque momencum + mrz C, F15. 302. prortum:) acque Craris B, Bondus item m P. et celeritas rC; vel pondus Jum:) Cum, quod letus hoc in calu efticiar, lic (propter aequales IpetuS Con- trarios) ucriusque sublatio, per proz. 4. hrujus eric Tetus magnitudo 2mrPC. (mo- mencis limul ueriusque aquixollens) per ProP. 5. hnjuS. sivs rF e celeritasmC; adeoque (utroris catu) momencum = Mr P C (reEOr- e ROP. V Si duo Craria conmun assisuo motu tenanturis tantundem est, quan- tum ad letus magnicudinem, acque si utrobique abestet. Adeoque communis motus, addicus rel demptus, Ietus magnitudinem non immutat. Da nulla sic mocus obstructio seu impeditio, uruc conjuncta tuCrinE A B, (ne dum s disjuncta;) adeoque Huliis PCtuS.St vero A cclerius leGuatuE, puta ce leritate rC =sCf 2C; _ B Pracedat Legnils, Puta Celericare SC: Paltem quan. tum ad celeritatem virique communem sC nulla sie impeditio iquippe carenus se subducit antecedens, ictum dectinans; tocumque illud mocus cur ulla fic obstru- Atio, elt quod ex sC. celeritatis excessu oritur. (Idemque cadem analogiq olten- decur de aliis moribus communibus. ) Adeoque ob additum vel demprum com munem mocum (uiporequi, hocrespectu, nullius instar est) nulla siec Petus im. mutacio. 13G) sCDBISE et p~SHIISB .IIC EF enim B praecedens eadem cetericale supiad (hur etiam majori) qua sequitur Fie. 302. est ot Inc est, quod duorum in eadem Nari placide lacorum Aies allerum eadem munius teluM DCC, qesurance nec impEctiCHCE. Aem proseclionum de percultionum PhxnOmENA ri pereucir acti uterque in lictore llatel, mocu navis, urpote urique com