# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0179 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0179?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 159, page id 851387705:0179 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=179 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000179.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.86 # 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. i 6 TEOM E 393660 38360 Exemplum hujulinodi aliud nociltimum libet adjungere. Sinc in equi cujus. dam calceis lingulis sex clari, adeoque in omnibus 29. Et venum expotICI C quus ea lesc, uc emptor pro primo claro denarium lolvat, pro sccundo duos, pro cerrio 4, ee lic deinceps, lingulorum clarorum precium concinue duplando. Duaericur, quanci emendus clt P. quus Vel etiam, Si quis serrum conduxerie in annum incegrum, ca lege ut prima sepcimana recipiat denarium, secunda duos, cerria 4, de lic deinceps, lingulis lep, rimanis mercedem duplando. Oueritur, quancam habiturus est mercedem lerrus anno incegro, live seprimanis 523 Conttimaneur pruno, concinua mulciplicatione, numeri aliquor primores, puca Lex, 1, 2, 4, 8, 26, 32. quorum Indices c, 1, 2, 3, 4, 5. Ductis itaque in SC 32 (termino sexro emi index 5) FnnE 2024. Oua cum per terminum primum di- videnda sine, sicque ille 2, numerus dividendus inde nON MUILLE; eE PTOPICrCA 2024 cerminus ille cA cui convenit Index 10 = 5 F 5, nempe undecimus, CIVC Doll primum decius. Ille aurem in se ductus producit (cadtem ratione,) termi num post prinum vicelimum, quia 20 f 20 = 20. FIC autem (eadem ratione) ductus in 16, cerminum post primum quarcum (cui index 4) producii cerminum cur index: 1 Dui quidem terminus cum sic ordine ricetimuS quin- eus; adeoque clari ultimi, nempe vice Timi guarti, precium extribeat uno achuc sractu auetum; live quod cancundem Cst, cerminum ulcimum in communis ra- tionis Exponentem ductum; Hline si au FEraCUE CErINUS pTIMUS T, numexUS FC. SicuuS 267772T5 (qui, Cum per COM- munem mulciplicacorem unicace minu cum, nEmpC 2 - + = c, dividendus fIt: hrac divitIone nON IMMUCCEuT,) est ip numerus denariorum quibus emendus est eguus: qui 26 millena millia Tuperat. Siu dehuc concinllanea it progrestio ad locum ulque quinquagelimum lecun dum; id eodem modo tict. Nempe du- cto in sciplum termino modo invento, (cujus index 24,) habebitur ille cujus in. dex 48 = 24 + 24. Aeque hic irem in illum cujus index 4, tabebicur Ile cuslo 8 13 45035996273704 4503599627370495 index 52. (nempe ulrimus in communs lalionis Exponentem ductus) qui W tare minucus, summam tocius progressionis exhibet: mercedem quidem latis amplatis. Arque hinc abunde liquet in quam immentam ee plane incredibilem Tummam ab exisuis principiis in concinua progrettione Gcoetrica perreniatur. Priulquam aurem hoc nesocium dimictam; libet et Exemplum aliud annectere, ex Auchore Arabico delumprum; (quod D. Pocockio nostro, Cummae I LI Dlum, (Forcalte, omnium anciquistimum, ad cujus imitationem alia FVICrINE exCO. Sicaca;) Sed e aliarum aliquoc inventionum originem videre licet. Nempe IN Oriencalibus Frudicionis VHB, dcbeb.) Mle, Hon modo Mujulmoci compuci exen Commencariis quos seriplit Selabo ddin Mobammed Alsephaci, in Nobilistimi Poccae Posraii Poema, Lumiatoi Ajam dietum, ad hunc vectum suocum led C. Fnnal ola hadathatui Vinio d5. l Blvl9 a15 alie) 8eto cvedtus andtus C∞l9 crogedtus Madlus C. ygedlus olii) C B9 C. 1got atio ai hiac tabentur