# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068204:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068204:0005?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2 # Folio 3r, page id 00068204:0005 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068204&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068204/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 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. Ilox aeges ressus sum, eamqs obtinui: vnrde Simul ordinatiim aspleatae, segmenta axium, aliaeqs quaelibet pectae ex areis cur varum vel arcubus datis innotuere. Mam regressio aed haec nitil in digebat praeter resolutionem equationum, quibus arcae vel areus datis ractis dabantur. eo tempore pestis un gruens coegie meine fugare et alia cogitan: addidi tamen subinde condituram quamo Logaritts morum ex area tryperbolae, quam toie subjungo sit dD hyperbola, cujus centrum C,, Dertex. Hi, 8 quadratum interjatum, (C. Sc C = 1 In C. CaseB, a6, hine inden 70 Sive. 0. 1, & erectis perpendiculis D b d ad Byperbolam terminatis, erit semi- Summa spatiorum. x D et d= 6. 1 + -9. 001 + 0, 00001 + 0, 0000005 -. 0. 01 12 C. et semidefferentuo + 9. 9001 + 9, 900001 + 9. 9000000) Re quae reductae sic se habent; O. 1000000000000 33(333 33133 (20000000 19285 O. 200335 342 7510 0. 0050251679267 Borum Summa. 0. 1053605156577 est Cd, et differante 0. 0953101798043 est D. et eadem ratione positis A B, a6 trine. inda = 0. 2, obtinebitur Cx. d = 0. 2221435513142, et D = 0. 1323215567939. habitis sic Lagarithimis hyperbolicis numerorum. quatuor de cimalium 0. 8, 0. e, 1. 5, 1. 2, eum sit 1. 2 2 O. 8 X 0.g = 12, &t 0. 8d 0. 9 sunt minores unitate: adde Logarithmos illorum ad duplum Logarithmi 1. 12 abebis 0. 6931171205597, Logarithmum hyper bolucum numeri 2. Cujus triplo adde Log. 3. 8, siquidem sit (27 271 8 = 10, et habebis (2. (3025350929933 Logithmum numeris 10, in degs per additionem simue prodeunt Logarithini numerorum gdn; adeo omnium pimorum A, 6, 6, glogavitemi in prompla Nas. D 9. 0050000000000 +666666 112500 250000000 1OC