# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0153 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0153?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 133, page id 851387705:0153 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=153 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000153.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 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. a DE CTEOD ESI Nonnunquam vero sola Figurarum Mecamorptiosi res erit Pacilitanda. VE, Si De fieu- menturanda sic tigura Peticoides dicta (linea Temicirculari concara BCD, e dua- bus quadrantalibus conrexis, AB, AD, cerminata,) aequabitur illius area vel area quadrari ABC. D, vel Parallelogrammi BDP P. Pancundem enim sive Oua draco sive Paraltelosrammo ex una parce accedie, quantum ex allera parce au- Fextur. Ec similicer, Funula A E DF quae areu qua- drancali AF D majoris, e semicirculari AFD minoris circuli continetur, aequatur criansulo, ADC quadranti inseripto. Oc ex Fippocratis Chii quadratura Lunula nocum est: et appo. Sico Schemace exhibetur. PTam propter AB9 = (AD9. F DB9 =) 2A D 9 adeoque semICIr- culum majorem minoris duplum; Crit AD F sC. micirentus aequalis quadranci ACDF; dempco. que communi sexmenIO ADE, relicua lunula A F. D F retiduo criansulo ADC aequalis. Fr limilicer alias non raro Paciendum eric. Ouod breviter insinuale sutticiac. Aeque hoc quidem omnino urile est in figuris maxime irresularibus, quorum am- Dicus neque rectis neque circularibus lineis cerminatur. Sufticit quipue practico Geometrx, si quam fieri porest proxime, hic addendo, illic cancundem detrahendo. ad huic aequalem rectilineam redueae. Ouod quo tat, consilium in arena capiendum. Acque tactenus quidem universae prope planorum Geodaesix fundamenta brevi- ter tradidi. Ouo, cum Musciplicationis cum Diritionis exercitium oltenderem; rum Aritimetices in cicometricis ucilicacem, et viriusque simul seienriae astinica. rem patclacerem. Ci AP. XXV Numerorum invicem comparatio. Aliarum item quantitatum: sed nonnisi invicem homozenearum. Comparantur tum quoad Differentiam, tum quoad Rationem. Flarum comparationum ab invicem discrimen. Dif- ferentia subductione investigatur: Ratio, Divisione; sed ea tantum quae est quantitatum homorenearum. Duantitatum ad heterogeneas Applica tio, quatenus ad Divisionem referenda sit. Rationes ones vie hom- genea: non item omnes Differentiae, Ratio an ad quantitatem, un potius ad Dualitatem pertineat. HINNOrS, quid. Procressio Arithmetica C Geometrica: Continua, Cs Disjuncta. Proportionalium notatio. Pro portio Tlarmota. cies, sire pocius Parres; Additionem, Subductionem Mulciplicationem, d Divisionem: quibus, uc intlrumentis, quae deinceps cradencur sunt perapenda. Finc ta orphose. erum PRadidimus, in Praecedentibus, celebres illas Arichmeticae Practicae sIve Spe-