# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0526 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0526?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 502, page id 851708439:0526 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=526 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000526.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 135 lines, status machine # Lines: 135 recognised, mean confidence 0.79 # 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. GOMBLNATION BS, P X abc ab Vet sic porius aa abdc 2a bbc aa abC e abb6 aabc a abb aa aC aa ab B0 C aac abb Atque hoc cousque prosequendum est, donec in adrersa serie, idem OccurraV (modo expolicus numerus su quadratus,) vel (si non quadracus) is qui proxime secuturus erat in eadem Peric. (Vchic, ex adverto a ac, habetur ab b, qui lecu- curus crat in prima lerie deorsum concinvanda.) Ntam, ubi eO perVeniUS, ji qui Sccucuri crant in prima serie deortum continuanda, segnuntur (in eodem ordine Tursum ascendendo) in serie secunda, donce ad numerum exposicum pervenieur. Ouando omnes Divisores lunc ica ordine dilpoliti: cum (a POltremO InCHOANLCS. S Continue retrocedentes) pollimus quemque cum oppolico luo componere, (ut cbb aa an cbbaaxan cb aa a XB, _c. ) Ec ubi componencium pollerior, elt ipse CBBaaa CbbaaXa Cbaa aXB bbaAAXC cbbaraa XAX a Cbaaxba XBXa BbaaKCa Ca a a XbB XBX baaaxbe Xb cbbxaaa 2X a XaXCKC Cb aXba a Xb aX a XaAXB XBXAXC BbaKCNA XCaXC XaBXC XCXaX a CAAXBBXA 300 EBX 1OX2. T8X4 X5 IBKGX2X2 20X9X2 d24X5XZ DX5XZX2X 2. 20X6X6 TOX6X3X2 TOX4 X3X3 2OX3X3X 2. X 2 6X6X5X 2 6X 4 X 5X3 6XSXZX2X2 4X5X3X3X 2 CXbXBZ AZAXa 5XZX3X2.XZX 2 compotitus; retolvendus hic erit in suos componentes; (Ut cbb aXaA, CbBaxaxa, SC.) Et sic concinue donce ad Primos perrencum ost. Ouando autem Diritores omnes polterioris seriei lic expedirimus, lnan, ante nihil est periculi,) carendum nequae ex compolicionibus jam sumpris, denuo si- mantur in alio ordine: quae, cum ita secunda vice occurrun, praetereundae SunE. Adeoque, quum ad c a a perrencum est; non hunc compono cum toto bb a qui C illi oppolicus, (quia bb a jam ance in considerationem venerac, omnelque qua- rum capax erat compoticiones Lubierat;) sed cum omnibus iplius bb a componen- rivus, qui nondum suerane ita considerati. Cumque ad cb perventum est; omilto nOn 16OXZ 2OX3X3X2 T2 XF5X2. T2 XIOX3 c2 T2X5X3XZ 8X15X3 8X9X 8X5X3 T5 X6X 4 20X6X3 T5X6XZ X = 25X4. X3X = 25X3X2 X 2. X 2 9x10K4 DXTOXZ. X2 00x4 9OX2. X2 60X6 6OX3X2 36XX0 36X5X2 40X9 40X3X 3 eq XL5 24. X5X: E 45X4. X 2 45X23 3OXI2 3023X L XL I2DX Xb aXB XbXBXa XCaXB XbaXC CCXBXC 2aaXCBXB (bbXC XCXbXB cbxbaXaA XAXa Xa a XBXa XbXaX a BbXCaXAA aXa XA AZCXa CXAXAX C axb aXB a 2 XBXb XbXBX BaXBAKC. X a aaXCXB CCXBXaXa aaXCXBXBX a BaaLCbXa 306X2 S4 X3 L0X20