# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0245 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0245?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 225, page id 851387705:0245 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=245 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000245.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.85 # 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. Cap. XL IV. RH SLAATBIS. Si Fractio ordinaria quaeris, ad partes Sexagesimales reducenda lic: Ducto Reductio Numeratore in 60, per Denominatorem al , e SoeS IHIBICABIE MI- S. actroM. nuca: Sceliduum aurem aeros, t eed HI, I 60 duetum, ee per Denomina- 9 te in 60 ducantur, e producta per Commenem nato n aC C. males. Lt lalcem vero pronua accumendum crit. torem (tractionis dacae) diritum, extribebic in Ouociente Minuta secunda: EL lic deinceps minuta tercia, quarta, dec. prodibune, si dirisionum relidua semper sexacesi victaneur: Ouod cousque taciendum. eric, donec vel nullum supersic reliduum, contra. vel quod (ob operacionem jam lacis concinuatam) neolisi postic. Quod enim de Decimalibus modo dictum clt, idem de in Sexagenariis tractionibus lapissime fic; nempe nunc in infinitum, nunc salcem in nimis lonsum procedendum ese, priusquam toca Fractio expolica plane Caaal. Guo Calu plo alcau relo, Sic = MIn: 12. 30. Paeil. Or calculo paret. Hoc modo. 2 160 24) 120 (30 260 24) 300 (12 57 Vel eriam. 4) 300 (12 1 = 12 X60 2) 60 (30. e = tll. 38. 10. 54. 3211. ec. = M1. 38. 21. tere. Nau 260 22) 420 (38 2 10 X60 F2) 600 (54 4. 260 22) 120(1 11. X60 L2)360 (32 1. Partes autem Sexacelimales ad Practiones ordinarias, reducuntur: A reductis omnibus ad Scrupulorum ulcimam denominationem, COrLIqLe nUMETO PEO NU- octendir quoc ictius ordinis lecipuli in uno Allesio conrinentur. SIC 12. 30. le ducuntur ad tractionem ordinartam 33. Iloc modo meratore Tumpto, conornus scribatur Denominator; nempe numerus ille qui X60 X60 0 260 3600 Cum enum lingula mimuta prima contmmeant 60 lecunda, 12. prima CouMCBuN cableur. 720 secunda, quibus addicis aliis secundis 30, erit secundorum numerus 750. AC vero in uno Inceoro concinentur Minuta prima 50, adeoque minuta Secunda 3600: Sunc ergo illa ad unum incesrum; uc 750 ad 3600, hoc est (reductione facta Decima- ad minimos terminos) ut 5 ad 24. Adeoque 12. 30. = Est autem usuis parcium decimalium incredibili fere dilferencia magis compest. lium usus diosus, quam parcium sexagelimalium. Quod rel unico hoc exemplo Paris indt quam Potiio quod Solis curtus annuus, per integrum Zodiaei circulum, ablolvatur malium et diebus 365, horis 5, minuris 45, 10, 46: quaeritur quantus sic illius morus cl expedi- urnus medius. Hoc elt, juxta leses exita acca, tempuis aniruuti 503 3 3 3tior. ad morum diurnum, sradullu quor? Sexacest 49, 20,46; ad tempus diurnum, 24.. BS anuus medius, GraduuIm 360; Guonta