# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0632 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0632?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 612, page id 851387705:0632 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=632 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000632.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.86 # 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. erdum scensa Cap. II. 12 duque, (Pet 8 vel 10Cap. L.) FIULC TaMEN ImpEcLIenLO VIS PTAPOLENS, mo- vebit; per TZ Cap. L. Ouae cranc demonstranda. 5E7 0Z ZVM. habitam esse rationem rel Relistentia medii, vel Asperitacis aut scabritiei plano. Impeltimenti vel Acscue. Calquam li in medio racuo perasendus cHet moils, plane excrinleca; et seortum, opus el perpendenda. CanGa ScI, te1DL Forundum vero, mum hies, tum 1oco hoc Capiie, (auc eriam alibius) ubi vaciam planorum motuumre, sire Decliritarem; Sire Acclivitatem (quodque hinc Oritur mocus vel Adjumentum vel Impedimentum) consideramus: Nullam omnino rum aue superticierum Cuper quibus niOrecuE, e ligua lunt ejusmodi impedi. menta alta: Sed Folius, quod ex Cortueale Descenlium Ascentuumre oritur, gracia, Tuper Horironcali Plano, auc eciam aliquancum Declivi, nonnili maena nullaque aliunde remora adreniret. Duixpe illa omnia lume huie considerationi Bount a P. GHOT PL Cattat LSac: Non tamen illud ex plani PosirionC oriri censendum ett; led ex aliis alufet luperandis morus impedimentis, quo rum hic rationem non habemus. PLOC. ALANITI. Idem incellise, de avis alia Vismipeciente, per aliam quam Directio 1 : 5115SYH seC V. 6:: nV. nC c leslOq cariss INE PHI, FC, rectae Forironales; P P, CF perpendiculares. Aiquie incel- ligatur elerandum Pondus, in P: ee huie altixum Filum Aexile, Teu F’uniculs, PFGV; puncta tixa F, G, anibiens: ee in V. Vis Motrix applicata. Adeo ut, quancum era- nacur Funiculi exrremum, seclindum Vis appli- carae directionem C V; canthndem elevetur contradirectionem Cuam, pondus P, in P S per- pendiculari AEque incelLIGatuT Vis V, Vi pon. deris P aequalis. A quipollebit isitur, (per trujus;) Adeoque Sultinebit; ec, li vel augcatur, vel Ponderis Vis minuatur (recta P F vel tan tillum rectinaca, puca in sicum P O, Pex 25 liu- Requieatur aurem, ut idteM vel Aquale Pondus, Vi minore moveatur, (Nam de Aquali vel Majore, jam conllat:) Puta Vi n. N + quxe nempe Ec ad V, in mi- DicO; Si apretur angulo P F C, recta P O, qua BL ad P F, itC Fad ny (nempe in reciproca rationo virium,) ec morendum Pondus, super Accltre Planum, in PO recta, per OC N. Fptum Rexile cratatur: Vis data n V, Donderi P, in hoc sicu Aigelpollebir; ee si cateillum actuc auscatur Obliguicas, movebit. NNaM, DEOPIEE PO ae C F in ratione F adn; Si P in P F Gravitet ut C, idem in PD graricabit ven C, (per F4 _ 17 hujus:) Fdeogue, cum illi aequipolleat Vis V, huic aequipollebit VisHV, (per F7 Cap. L.) Adeoque (Per 25 hujus Ei trat P O adtruc vel caucitum longior, Vis praepollebir, adeoque morebic; per Datum Pondus, data Vi morere; pro varia motuum Accliritate. nis suae lineam reterenca. jus;) movebic. per D, TF. Cap. T nOritatIS ratione data n ad T. Bi Ctg Cap. F. P R O P. XXIX. Dalu Londus, Per Datan Acculalem orel. Idem intellse uaris alta vi impecente.