# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0096 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0096?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 76, page id 851387705:0096 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=96 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000096.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.80 # 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. RDDILIOHTE 2436 1563 C ad a1L0. 3999= 2436 subductio. 25633 dioribus; Duis are alieno obstrictus, jam solvit libras 2436 Seamnum ader tus 1563, quanto primitus debito ob- strincebatur: Seu (Guod perinde cst) a quo numero tol Lenda lunt 24. 36, ac Let (563. Addiris numeris 2436, d 2563 Proco Gcau 5990. FIos aurem numeros ita re- betios eos ploo ete gu suaerebantur, inde liguet, quod, a Tubductiones Hach Proue quaestiones propolica postulant, numeri relidui iidem crunt quos quastiones postulabant. VE patet. 2C 6y E subeluctio +E addirio. T0 163 350 Contra vero, Si quaeratur diis numerus ille sit ceri si addantur 6 prodibunt +0 E.X additionis Tumma r0, auteratur numerorum additorum alter (coonicus) 6, et prodibit relignus (quaelitus) 4 Iiem cui numero addenda sunt 356 ut fiant 783: Subductione facta, prodibunc 427. ITos autem sic inventos numeros eos ipsos ese, qui quarebancur, parebit, si additiones juxra quastionum praeseriptum perasantur, prodibunt enim cumma indicata. a Fodem modo si quaeratur duis numerus sit qui, a 5372 quinario, binario differs e Ouoniam ditterencia porest E E adltio 23758. LDT29 SiZ Cabetine 3 337 58 pi O. 1n. et arctes esse vel in excestu rel in detectu; paret ejusmodi nu- meros duos ette, majorem nempe de minorem: illum addendo; hunc subducendo inveniemus. Fs enim seprenarius Binario major, et vernartus binario minor, quam esL quinarius. Sic 3758 elt difterencia numeri 5371 a duobiis mimeris hempe or29 majore, ec 16T3minore 20F3 quori ille addendo, hrie subducendo investigatur. Sl. Poltune aucem hac omnia etiam per Reculam Aecbra (ut loguinuii) rel analycicen, auc Arictimericam Speciolam pariter ollendi. Verbi 551171 Subductio F X31 1) 9p.: 11, ∞1C. 5. LiiC c A 325 = 243) Eli 11 113 = sut 1.3. L.L 325 825 L Nddirio. 10 11t aatrucR Sratia. Si quaeratur Cui numero addei- da 2 ut frant 20 NIeTIS qua sItS dicatur 12B; ergo 1X2C f 7 == 20 auterantur verinque 7; de reltat F 2 L YhIS umeruS quXIIIS. IIa, quo numero auferenicta 325 ut restent 243 Numeris qualicus dicatur A; erit ex. 5ON = 825 = 243 Vx (addiris verin. 568. Guviici l qe 1325dA = 568. larem Dais nu- aliocicou merus est cujus disferentia a 26F, ’est vea Bos. g+ d Numetus guaesitus dicatur F Summa. 492 L not ndeoiu au 1s clo sr BBF it 1 si er3I1O) ete :M CE sR A F 111. pCK.ISB: Obs Roideta l1BICEOL R 1t 3II) 1 11 5YSD, exit 26+. t 24 1. 5. F 5402. 3 120. 3 humerus quaesituis. F suissicer iis aliEs. At.AIP Cosi 1SBL SISGO en is eighistaucem inguitae verbi gracia duinam adden sint numeri ui summa sa : vel dumam ex quibus sub ducendi ut restent) jumoli quastiones entem plane lucrera e nusaces; eum ex datis propoticis in qualtione nihil cerci elicitur; quippe modis innumeris respondetr Pocerit Puca P. .6,24.5, 3. p57, 5 f3, 4 F P 2 f 3 5, 51 7. 7 1,8-- + 10 3, 20 P3, 5+ 6 4, 12. 3 2, _c. Nam ex lolo A erexato, vet RCL duo, de pasthculis addiris auir Tuibduetis nil cepti constabir. Subducti Notandum actrer et hic est, aliam ene contimilem subductions probationem, onis alia eidem prortus Punctamenio innixamt. Nempe (En opcrarione lesirine peracta) Si probatio. numerus residuus a numero primum posico auseratur restabit numerus prius abta- E1 S. Puta BFX 583 auterendo 28r deprehendero 2subductio 5583 primium 313. Ouod an recte probaturus, ex 58= 583 312 58 312 201 202 mondola Tubduiato, (mimero proposito) subduco 312 (retiduum in- 272 rencum,) uc rideam num lic proveniet Z9r nuitie. emendata 583 Luo Decuo ablacuo. invento auceta satu Leluuum eHe non illum sed 27 P, iplominorem; unde depretien. 292 do errorem calenti alicubi irreplisse; quem re 29Fpetico opere in decadlim serie commillum incetlieo. eum