# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0137 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0137?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 117, page id 851387705:0137 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=137 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000137.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.91 # 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. E DIVISTONE COntTa vero, Si quaeratur Duis numerus est qui Cap. tactus 705 diricatur pel lactorem Factor Guan e quta A X3 =- 763, erit uilibus. in 4 ductus faciet 12d Pactum 22 dividatur per 4 4) 12 (3 (alterum ex tactoribus) ee prodibit religuus la ctor quaelicus 3. Vel, li numerus gualus alcatur A; cum licsuxca quaeltions tenote) AX4 = 12. X 4 = 2 dividendo untaltique aequacionis parcem per qu crit A = 13 = 3. Icem Cujus numeri triplum est 705. Hoc e, Duis numerus in 3 ductus Taciet 705. Si numerus dacum Peu cognicum 3, prodibit lieum Lc qudt mintes distribuendi sunt 7488FB aurei, ut quilibet habeat 282. Divitio 148818 per 283, prodibis milicum numetio slal. E pariter in H. 140610 Si autem quaeratur, Verbi gratia, Duinam numeri sint invicem ducendi ut factus Sit 24. Vel Duis per quem dividendus, ut quoriens sit 24 Iujusmodi quaestiones nugaces elent; quippe ex dacis in quaectione nihil cerri elicicur: posset enim mo- dis innumeris responderi: puta X6, 2XZX6. AF1 3, , 3) 1, 2) 3 26, dec. Nam ex Eolo tacto in mulciplicatione, de F2 ctoribus neuciquam constabit; ut nec, in Diritione, ex Tolo Quocience conctabit de Diridendo auc Dirilore. Sed de his hactenus. Acque hactenus quidem de quatuOE APIFHMCTICES (UE VOCANEUT) SpeciebuS, seu porius Partibus, Additione, Subductione, Mulciplicatione, ee Dirisione, dicta luffi- CianE. Mulca aurem qua de his opcracionibus apud Aricheticae practiea magi- Aros pastim occurrunt, ee speciatim operationum aliquor in nonnullis compendia, rariolque modos has operationes peculiaribus subjectis applicandi, (pura, in rC nummaria, de Faenore, de mercatura; in re altronomica, de tempore, de motu, Co. rumque reductionibus, _c.) Sciens praetereo. Ouippe infiniti ellet laboris, et qui- dem superracanei, ea omnia quae id senus dici polsent figillarim prolequi. Nec quidem id nostri operis est; sed porius operacionum fundamenta cradere, iplosque Fontes aperire, unde scientitice e demonttracire postint vera procedendi rationes incelligi. Ouas qui rire incellisir, non modo majori Fructu e roluptate iptas ove rationes exercebit, easque in ulum proteret, quam fi caco ductu incedat, et qual Andabatarum more puenet; sed et multo tirmius quae noric memoria recinebit. Duas enim laepius audimus querela, Rerum Machematicarum cognitioneM, APICH- merices praefertim, cirissine dpete ni astidua exercitatione retineaTE; chodum, memoriter catum cuo, spras pelatat satlones penitus ignorent; quao quidem ruleares arichmericae practica Magistri plerumque vel ipsi nescinne, rel Lalcem plus Paris rericent; eisque edocti Mechanicam porius (regulas minime in- rellectas persequendo) exercent, quam Arichmeticam. OuI auteM ip(IIIS PTAXCOS rationem Caris perlenciseune, (nec tantum exco sinere, regularum mémoriter cognicarum ductum implicica tide securi incedune,) judicio magis quam memoria non aliunde oriuntur, quam quod plorique Arichmetices praxin, sire operandi me ducti, difticilius ed sua u aetu duS crullum i Paciencul.