# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0240 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0240?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 120v, page id 00068195:0240 # Scan: The same scan is also registered as fol. 121r; its text is given once, here. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=240 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000240.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine # Lines: 60 recognised, mean confidence 0.91 # 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. Eodem modo quaero Loganchmum Logurthus de 300 est 2. 477121 Log (oo) 2 est Numeri, 0. 052497 Habemus autem in Tabula Logarithmorum duos Logarithmu huic peopinque satis accedentes unum: 852479. cujus mejus est A. 120 alterm panto majorem 195 4291 cujus logarithmas est Ex itro alterutro numestm postii logaritimi investigare potecimus Ex prmo 0654273 si aule subtriham, 0600000 qui est loga rithmus Estantem, 0. 100000 radix ligarithmus de 10s10 Ergo 0. 800000 est log.de (81710 seu log. de (70 10 seu log. de 10 Ergoiam si de 0.552479 (logarithmo numeri . 12) subtrahamus 0.800000 (Loga vithmum numeri se110) restabit nonter 9. 252478 panto lisfeens nostro 0. 052457 noster ergo erit logarithmus numeri paulo majoris quam 7. 1 Eodem modo si exegsqrus1 110, lubsenhamq: (logarilhmo nuneri 9.001) subtra 20 hamus 0. queav flogarit hun numeni ( (10) restabit 61542 Operae pretium nunc esset investigare ioic. Ponna omnis numerus est media irportionalis inter duas potentias aeque ab eo remotus, nempe a. a +Comisso po po indireus etere) seu l numerum cujus logarithmus est o 100200 sed quia loganthmos fractorum decimalium non habemus (quorum causa duplicanda essett Tabula Logarishmorum; saltem ut regreisus a logarithmis fractorum ad fraectos haberi posset); hinc cogemur Leg 10 est 1. 301030 duos nue ququorum differentia sit logarithmus propositus, horum logarithmorum numeros repertos per se invicem dividemus, et habemus logaritemas propositi numerum quaetitum. ita 0. 031298 estsub logarithmus propositus, subtrahatur a 000000 logarthmo denarii vel centenari vel millenarii à :1000000 loganthmo denarii vel millenarii re ssabit 4: 1968702. qui quaeratur in tabula logarichuo rum quam proxime, reperietur logarithmus 3. 968716 ergo 3 est aequ: - 1 seu : est 4. itaque subtrahendus est numerus logarithmus 0. 031298 a logarithmo millena a 4.000000 logarithmo. de 10000 restabit 3.9687 logarilhmus de 9305 Ergo si 10000 dividatur per 9305. habebiti numerus qui circiter erit numerus logarithim a nobis quaesiti nempe 10000 9305