# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0099 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0099?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 75, page id 851708439:0099 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=99 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000099.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.88 # 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. Ciap. (XVI le a a. sic hic, Ei per eandem magnicudinem. Adeoque li rora magnicudo Diridens, Cit Mulciplicans in Diridenda; Perasitur Dirisio eandem expunsendo, (ut in exem plis exposicis.) Sin minus; manebit Ouociens in forma Fractionis. Puta B AC Per AD divila, tic = 4 Acque hic eriams (ut in vuleari Arictimetica) si plures aue Mulciplicationes. aut Diritiones, aut uerxeque, linc continue perasondae; nihil retert, quo ordine perasantur, dummodo successire perasantur omnes. Nam, prour Illic, 4 Per 3 mulciplicata, aut 3 per 4 tancundem ralent: Tremque 6 per s mulciplicaca, fi- etumque per 3 dirilum; cancundem elt acque 6 ver 3 dirila, orcumque in 5 ductum. Sic hic, A in B, tancundem est acque B in A: Trem A in B, dirisum per C (seu ad C applicatum) cancundem est atque a per C diritum, orcumque in B ductum: aliore quoris ordine, dummodo operationes omnes inccettire De. rasanCUE. rulgari prichmetica. Puta, _ Sic Porro donee tota exhauritur dirsllenda. inrenio certium membrum P. P: Edetaque ut prius mulciplicatione ee lubductione. mul rellat. Ouce Heet A A A = L. P. F. per A = F. dirilam, exhibere A A + Contingit autem non raro, ubi magnitudines sunt plurimembres, COMMUNe latere mulciplicatorem (seu menturam communem quae magnimdines lub ee lupra Dositas menturet) quae non ltatim appareat; led reperiri poltie pari methodo ac in Invento primum uno Ouocientis membro; hoc in magnicudinem diridentem ductum, sabducatur ex Diridenda: de Reliduxe ope, reperiatur membrum aliud: Sic, sI A A A - F F B diridenda SIC per A - F: quaero primum, quae magni- dua,) numirum AA; qua in A - L. ducla, Comes A A A = AAF; atque hac ab expolica A A A = R. H. H. lublata, relguse p a at - t. t. t. Tum AE. F F. F. ido ducta in A (primum membrum Diridentis) conticiet A A A. (primum diri quaro, Oua magnicudo in A ductas conticiet A AF: repercamque A H, duco in A F; factam que A AF. - A F. F, Tubduco: opeque resdua AR. H. = H H H Dividens. Dividenda. LA A -- A A AH. = AF. V AF F =F. AL = L. F. H. Orta. A = F. ) AAA = P E F. CA A, + AF, +F P. F A AF. = H. F. F Pariterque li eadem AA A - H. eL atridenda forer per A F l.: nisi quod tunc Ouoriens, seu Orcira quantitas, FOreCA A -- AF. F F. P: (Ouod experienti patebit.) Fr in aliis similiter, prour res conrixerit. Obi tamen lagacitare nonnun- dratum seper reputandum et, vis cocidem habere dimentiones quot habet Racix: Cubus, ter coridem; similicerque in superioribus Poreltacibus, respectu habito ad cujusque numerum dimentionum. quant OpuS CxII. Iu cadicum extractione speciola; linnet lethono uleHauu Cric. Ouippe Oua- traheant numero pares; habebune, in radice Guadrarica, dimensionum numerum subduptum: liqua vero habea, in quadiato, umero impares huie pralixenda exit Adeoque, si exposicx maenicudinis species componentes singula, dimentiones