# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0188 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0188?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 168, page id 851387705:0188 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=188 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000188.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 118 lines, status machine # Lines: 118 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. DE LOGARLTHMIS. Cap. Logarichmorum autem usum quod actinet. Duorum quorumvis, (aut etiam plurium,) Numerorum Locarithini simul additi, constituunt Losarithmum, qui Losar. 2, 39794 L 2,00000 3739794 Logac. E, 3979 1, 87500 3927300 Num. 23 X100 2500 Num. 2 X7 1875 numero ex assumptorum numerorum continua mulii- plicatione facto convenit. A. deoque invenco facti Loparichmo, habetur ipse numerus tactus, ex Ca none. Puta si numeri 25, Logarichmo 1, 39794 adjiciatur numeri 200, Logarichmus 2; horum a8 SregaTM 2 + F, 39749 = 3, 39794, eAt Logarich. muS numeri 25X 10O ==2500. Pariter, EI numeri 25, Losarichmo 2, 39704, adjiciatur numeri 75 Losarictimus F, 87506; horum a8gregatum 3, 27300 est Logarichmus cui in canone convenic numerus 2875. Fodem modo; in continue proportionalibus 2, 2, 4, ec. cum ad inreniendum locum sexasesi- mum quarcum, numerus F, concinue mulciplicandus est in 2 lexagies et cer; (1 nuMerI F LOBarichmo 0, 00009, adjiciacur numeri 2, Logarictimus 0, 30103, sexagies _ ter, (hoc CH, 63XO, 30203) prodibit 18, 96489; cui juxta Capo- nem LOTATIChMICUM CONVENIEE MUMCTUS 9223300000000000000, Circiter; vel Taltem 9223400000000000000; vel pocius inter ucrunque: neque enim in tam vastis numeris expectandum est ut Canon Logarictimieus majori avecbis. rem En Divi- Drocat. LOGar. 2900000 2, 69897 0,30103 2,69897 -0, 6989 2900000 Logar. 4779C5F 29 3979 1, 87506 2,5185Y LOgar. 0,69897 +0,69897 ETum. 100 (2 50 50 (20 Num. 75) 0rer. (3: +0,60897 2900697 Num. 225 Similiter; Si ex numeri Dividendi Zoearithmo auseratur Loearichmus Divisoris, prodibit Locarith mus duorientis. Si autem plures continue Faciendae Sinc diritiones; ex propolici numeri diridendi L0- Barichimo, auterendi Tune Logarichmi omnium con- tinve dividencium. Duca, Si Cx numeri 100, L082- richmo 2,00000, auteratur numeri 50 Logarichmus 2, 69897; manebit 0, 30203 Losarichmus Ouorien- eis 2. Si ex numeri 50 Logarichmo 1, 59897 aute- Y3LUE 0, 60867 Loparirmus numeri 5, mancbit r. Logarichmus numeri 20. Tiem SI Cx numeri 67875 Losarichmo a7925F auterantur cum 1, 39794 L0 Garichraus numeri 25; cum X, 87506 Logarichmus numeri 75, (ex canone depromendi;) manebit 2,5285F Loserichimus numeri 33, duabus dirisio- nibus per 25 e 25 continue tactis provenientis. EL timiicer alihi. Aeque hinc similicer sequitur; st numeri cujus- vis Focarithmus dupletur, tripletur, quadrupletur, ∞C. provemet Loearithmus duadrati, Cubi, BI quadrari, exc. expositae ractiois. Puta numeri 5 Logarichmus 0, 60897 cxiplatUS, REMPC 290969F 3X0, 60807-0, 69897+0,698970,69897 est Locarichimus numeri 225 = 5X 5X5. Rad FE, vice verta; Si numeri cujusois Learichmus suerit bisariam, crisariam, cum ex quadrisariam, ec. divisus; prodibit Loearichmus radieis quadraticae, cubicae, bi- tractione. quadraticae, 55. Puta 3) 2,0069+ (0, 69807, erit logarictimus numeri 5 = V3 T25. Fractio. QuOTieS aUtEm OcCurrI numerus minor per majorem dividendus unde oritur nu- num L0- sarichomi. LO82r. 6730103 --0. 47712. -0, 17609 NuM. 2 (3 merus tractus, qui unitate minor elt; prodibit 19. sarithmus Negatirus sire Ablacicius, quippe minor quam 0,00000 Loharichmus unitatis. Puta 3) 2 ( numerus, logarichmum Dostulabit = 0, 17609. qui nempe provenit subducto logarichmo numeri 3, ex locarithmo numeri 2. Oui plura petie de Logarichmici Canonis sire Constructione sive VTu, auchores adeat supra lauctatos, Nepperum, Brisgium, Gellibrandum, aliolque qui de hoc negorio ex protesso scriplerun. Susticiar nobis, operarionum Logarchmicarum originem ee lonrem indicealte. rithmo- rum usit in Multi- T plcatio- hohe. In Pote- Cenest. stabum Prime