# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0247 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0247?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 227, page id 851387705:0247 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=247 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000247.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.80 # 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. XLIV. REDUCTIONTBUS. tde a 2893427406. 2866240000:: 60. 55 211715 2893427406. 262773046:: 60. 8 613o13362 2893427406: 619043512 :. 60. 19 iaaos 2893417406, 7167680006:160. 87 lv is ps Tocum autem hoc negorium, per parces decimales, leristimo acum, labore peragi Tur. Posico nempe quod Solis curtus Annuus, per inteorum Lodiaci circulum ab- Tolvatur, diebus 365(242555; mocus diurnus, unica dirisionis operatione peracta, reperietur, Stad. 0p856463735 proxime. Duod calculus incicabit. a ares ereu B (IL ACISLSC IIS 365 142555. 360:: 2. 8 b85 6463735. M muibibhars cnsb oOE S csehI ob org ron l tuli1 365 P. +2555) 36000c0 (0.98564637 35) - 1. C B ceresiI cIBI (13 DYI iCL Flanc autem quaestionis cum proposicionem cum relolurionem in parcibua Decima libus, tancundem plane ralere, acque operolam, illamr in parcibus Seraselimalibus; Itacim apparebit, uibi oltendero mechodum hasad illas, et viee verlas reducendi. s Reducuntur autem partes Sexaxesimales, (dquidem eadem methodo, mucatis Reductio murandis, alix item quancirates pluribus denomipationibus delignata, D sad, partes partium Decimales hac mechodo. Ouoniam, verbi pracia, quodris Minucumitieviium, est Sexagest unius secundi, de quodris secundum, e unius primi, e quodrissminurum pri malium mum s unius horx; ec hora quaeris unius diei inRrune, (in expolica quancirate. d Deci annua, dierum 365, HOr. 5, MIn. 40, 126, 46. 1) minura rercia qbii aequalia 2 Ut contra. nius secundi; hoc est (diridendo, 45 per 60) secund. 07666 8c. adeoque 167 46, = 26(7666. Cumque hac Secunda, sinc cocidem Sexagelimae unius PrimI; dividendo 16(76666 per 50; reperiCtUIK 26 17666 = 6]2794 _ propterea 49, 16 46, = 49, 26(7666 = 4012794 Fxsimilicer cum minura prima sint coudem seragelimae unius hora; diridendo icerum pur 60; CTUNEMIn. prima 40 12794 =0(8213hOrX: ad eoquC 5, 49, 26, 45, = 5 (8213 hora. LC quia hora etE dici; diridendo per 24 reperientur horx 5(8213 = d. 6 (2425; adeoque 3654, 5h 40i 16, 46 = diebis 365(2425 proxime. Operacionis procelliu sje lutiiccimus. 60) +6,0000 (0, 76666 ec. 60) 26, 76666(0, 279444 8c. 3654, 51, 49, 261346. - ctorto 60) 49, 27944 (0, 821324074 ec. d 20 :: 126 76666. l verinct. 49 2704444. prii. 56 30tI 5 821324074 hOEx. 24)5, 82132407 (0, 24255516975. dc. 365 (24255516975 dies. vet oup. A (CFP Contra vero; Patres Decimales; ad Sexagetimales (aliatre hisce similes) me. thodo concraria recieuntur. Nempe reliduas ubique tractiones decimales multi- plicando per 60, (aur per alium, quicunque tuerit, qua la tracttonis denomina. TOTCM.) Sic, verhiplacia, Mocus Solis diurnus, Bract. 0(98564627 25, reducitur ad partes sexages 311 I (0. 9856463735 males 59, 8, 29, 3711. quam piosime. V2 est 1 adjuncta operatione patet. Atque hoc pacto partes Seragelimales, alixequeY pluribus denominationibus conttaties, ad Deciil 59 1387824+ 32694461 616676 males reduci poltune; ee rursus (ubi opus fueric) 1n 37 (00056 hae ad illas. Ec quidem de Fractionum Reductionibis hoctenve 160