# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0364 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0364?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 340, page id 851708439:0364 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=364 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000364.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.87 # 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. Cumque Vir Cl. aliam Pacagir demonstrationem extibere, a sic ab eo scrupulo libera: In 1d Ipsum (incautus) incidie. Mmrenu concnua bilectione, 2, 2 a Z lT. C F R R A. CaP. L XXIX. _C. tandem DEN VENEIM AL IPPOMI au S, Gu I Alins prosrectionis terminus ulei- mus: Id nunguam tiet; sed eo tandem pervenietur, ut mac distet dato minus. Ouippe si, comtinue hisecando, toret tandem o Mlus prosfetionis terminus ali- quis: tum LOC abO, Conud duplatione, perreletur ad expolitum i unde caepcunt erac. Ac0, leu Nihul, quancumris mulupcaul e hiet Aliquid: adeoque Aliquie nulla Diritione, uccunque concultata, seuuselu ad Iihil. Pocest quidem, Subetactione, ab Aliquo perreniri ad Nihil; a scuttione, d Nihilo ad Aliguid: Scd Orriaendo, a MMMBHICAHOD, Le HOH MCI. Ouodque de Bisectione dictum est, idem de Ouacrisectione, altaVCLImHI MNTONC incellixendum cAt. Nerum ueraque Cl. Vari Demonstratio, hoc non obltance terupusO, ralida est _ tirma; eodem tundamento nixa quo nituntur omnes H xhaultIOneS. Delique; Ouo omnis (siquis achuc reltat) Scrupulns eximatuE; RemIEaL, IL libet Vir Clarissimus Amicum cuum dubitancem, ad Schonu prop. LOL. Arith. In fin. pag. 258. Flam prout, ad PFOD. 19, 20, 21. HabECur Inductio rationum P XCC dentium luberiplam, led quarum excessus continue decteleie; ita in dicto Scholio, Similem conspiciat LMductiONCM a HIIBCIPIA BCHCICMH sed Guatum Defectus Pa- riter decreseit in mitum. Ft iclobislie Ha Concinue acceditur ad subcriplam, ut por: adeoque, caacta intinitalem centeut elt cranescere. Iuchoamine illic Fixceltus illic, et hie Defectus, creniac tandem, etiam citra Intinitarem, dato mi- tacto ab F, ut ance ab 0. Nimirum, c Cui conveniunt adjuncix Figurx. In quibus, pro truncato capite (quo inei- viaeur ab Z,) cancundem Intra batuls conuatu Lsatsu, adeoque Conus quem hoc criansulum repraesentat; quo locus sit ubi inscribatur, illic Parallelo- crammum, hic Cytindrus bali conreniens; qua quaten cum Fruncatio, tum Con- rinvatio, tranfacta intinitare, una cum Detectu, eranelcun Cumque cum Excessus excedentium, tum Detectus dete d Cocue de. creleat, ue cirra infinitatem, eveniat daco minor; censendus elt, intinitate trans. acta, Craneseere. Omippe, quod cst omni expolitam quata LCE MS ee omniinde dele asios et apoticae Aquale. Cum