# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:1044 # Permalink to this reading: https://leibnizlegible.com/page/851387705:1044?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 1024, page id 851387705:1044 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1044 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001044.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.92 # 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. De Flatere, satione Cap. XIII. 1024 m P celeritater C, e PondusrP celeritate mC: ut priuIS. OUX CanEA semper est quanta est Vis LcH, (UL ad PrOP. L. Dujus, ostensum est: ) HlOc CH, in calu praesenti, (per PrOD. 7. Cap. TT. ) 2mr P C. Oux utrinque X qualiter se expedire lacasens, asir utrobique urmr P C: Adeoque repellit Pondus 2t. LV Si duo Craria Flastica (non ab inricem compresta) vel quieleant utra- qne; vel utrague per eandem rectam ad easdem partes aequali cele- eripare ferantur; vel denique Antecedens Celeritate majore; (sive invicem concioua sinc, sire disjuncta:) Nullus Impulsus fet, aut Elaceris comprettio; adeoque nulla proxterea moruum immu- tatio. Ouare et sn Graribus alias motis, communis addatur (vel auteratur) Celeritas; nulla st inde impullus mutatio, (aut quae hinc sequun- CUT) sed perinde est (impultum quod spectar, aut Flaceris comprel- sionem,) sire adsic sire abtic communis illa celericas. DRopolitio patet. Ouippe, s uiraque quiescane, nulla vis ucrivis intereur, pullus obttruicur morus, neverum impellit reliquum, nullaque tc quae ab im- pultu cec Elaceris comprectio, aut qua ab urroris procederet mocuum immutatio pricam quae vel Celericarem spectet, vel Directionem,) ucur concisua tuerint ea Graria: nedum Ei disjuncta. Similiter, s terantur utraque ad ealdem partes eadem Celeritate. Ouippe, Si disjuncta sine, manebunt adhue disjuncta, (et quidem eodem interrallo,) Propter eandem ueriulque Celeritatem; adeoque ne quidem se contingent mutuo, nedum impellent. Sin contigua sint; dum tamen Anreccdens eadem Celeritate fuxit qua sequitur Insequens; urcunque nulla Vis infertur, nulla motus obltructio; adeoque nullus impulsus, nulla comprestio, nullaque inde mocus immutatio. V Sin Ancecedentis Celeritas suc major: tantum abest ur a segnius Insequente pre- matur, ut hoc a tergo relinquatur, tacto incerrallo si tuerint contisua, et aucto ubi disjuncta Fuerine. Adeo ramen modo ne sine ab invicem compresca: Ouippe lihoc conrigerits Vis Flalica, quamprimum porerit, se exserer, motusque immurationem eticiet. Atque eadem rarione constabir Corollarium. Ouippe, qua Celeritate fusit An- recedens, adeoque se subducens declinat ictum; carenus sequenti non obltat, ejutre motum obstruit, unde sequeretur impulsus vel comprestio, (non magis utique quam ubi sequenti contiguo se subducit antecedens;) Sed tora Vis impulsira leu compreltira, aestimanda cst, ab exceltu Celeritaris seguentis supra Celeritatem an recedentis ad easdem parres moti; qui idem utcunque erit quicunque vel addatur vel auteratur mocus uerique communis. Aliter. DrOP. 7. CuP. LL. Frso, nulla Clateris compressio (auc quae hinc sequuntur) ut quae Ictui aequivoller; per demonstrara aet prop. r. hujus. Vel Sic; Ob motum communem, nullus sic Icus, vel ictus immutacio; per