# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0126 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0126?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 106, page id 851387705:0126 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=126 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000126.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine # Lines: 71 recognised, mean confidence 0.76 # 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. aP. E MaLeLaLIOAE 1. 2a + 3Ba LBC 347 = 2b a = c 5aV =9Ba3 = ZBCa 1E CLisE. Ac s 4ba3 -6B= a2 = 2 B=Ca mes Snoitiv S 3,O = 20= a7 = 3bC7 a = BC Les se ad 1 sil 3bC9. + 2B2071. 0 6a+ =5ba3 - 6b= a meste =a = BC3 3 - . 15 ~ F 1 2G 1115.) cer 26215 3b0F S e t u esi. ObCMC 3e ete evitpuol cere sleaesit esi inileslcet cucleceree Divisio In dividendis quanciraribus conjunctis, Si Talcem Diritor sic quanticas simplex, rix quicquam peculiaris ditticulcaris est praever simplicis dirilionis repetitionem conjun. adeoque quotientis per parres inventionem:. FL quidem parum retere an d dextra ctarum. an a Sinistra incipiams. Exempli gratia. Si quantitas DC. - 6BC. F 8 C q dividencta cTtet per 2C; 20) DC =oBC H8C9 (:D = 3B. = 4C 11. F A ∞ DE= 5B8), 8C9 Primumr, quaero cguxnam guaneiias Ducta in 2C facier DC, ec respontum ; D in quociente Dono, quam quorientem in dirisorem ductam (2 C X Z G = DC) ubi ex dividendi parte prima DC subduxerim, nihul reltac. Similiter, cum videam 2C ducendam esse in = 3 B uetiat 6BC, scribo in quociente ZB, e mulciplum (2 CX = 3B = = SBC) Cx = 6BC subductum nihil relinguie. Dehique cum 2C ducenda in 4C ut tac 8 C9 poliro in quorience f 4C, et subducto mulei. Plo (2CxgC. = BCC= =BC, 4) nihil manet. tc peracta elt dirisio, cujus quo- EICnS Seu quancitaS Orta Z D - 3B F 4C Si quid aurem, divisione quantum tieri pocelt continuata, supertierie, quod per divilorem propolicum cliridi non postit, vel etiam li ita le Habeat Diriden- dum ut ipsius nulla pars per expolicum diritorem dividi voltu, (sire simplex sics sive compotua, quamuas dividenda, aur etiam dividens,) residuum, illud collo. eandum est lipra diritorem in modum fractionis (lieut in dirisione numerosa) e invenco quorienti adjunsenda. Dr in exemplorum cam pracedentium quam tub. sequencium aliquor ridere, ett. A) CDC -. B)BB F B9 = ABE. (D = +F. + A F B) DFC 6. + N 1dBI 273)57523 + 40 - 238 + + (373 f228 2 R4) = ARC + 4 ABR9 + CgF re C = RR F 4 A B f 54 1e) DCI. F. 151 d) 2ba - ac 1d e X EL - 95 n 4A et 51 e C5ba a 181-f. 17. 38.-) Ec quidem plerique sive Alscbriltae sire analystae vix aytcorius Divisionis AIeC. bricae auc Speciola cradicionem prolequuntur; led qyanciracemt asvidendam diri denti lupraponune, interjecta lineola; de liguam animadverrahe quantiearem quae utramque communiter multiplicarerit eandem utrobique expunsune: nec ulterins Pacagunt curiolam Diritionem (praelerrim cum dirilor ex puxiUS ParEbUS COn. Ilac) exCrCCrE. Verum, etiam cum Dirisor ex pluribus eudrelbis constirerlE, divitio nonnunguam Pacis feliciter exerceri porelt, eadem plane premendo vellisia quibus in aliis Diri- Tionibus inceditur. Cusd ( Dost Cdrrelium qanimadrerrit Sctvocenius (tam in iplius ad Cartelli Geometriam nocis, gnam in specialicroctatu quem Principia MIa ibeseos Oniversalis appallat, Atilinierica spciota praem CHHIBEIIC.) Sed e otim, quanti eatum le