# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0339 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0339?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 170r, page id 00068195:0339 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 169v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=339 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000339.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine # Lines: 72 recognised, mean confidence 0.73 # 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. ibus - y + lb + V 1 ray + a y +g le 2b -1 y + b y+ 11 -2a + Al 0y 20g y +207 1. 1 A Et quadramb e 298y 9 un glga 1) +4lga.. spsega (. 01a) Uende, b 1 8 sasque 1OSar4 t 02 s 2a loco lg ponatur l + 9. fiet Zn qu 110s asq Item Ergo FN Cap +9 + 10 2. 0 Egt ( O saesqu (n Eg A 4. 0 Sa5qe 0) Extris calento theoremate duui possintimem ralilci ) ar a eta q es cloco Ero fiet. +2O Sa sq +O ap + a b - y - 2ly - V ( Srayt rah + a y + ra hy + a h + tende fiet A A B + g + 2B9, vel A = B g (72 bg. et ordinamo: 9 + a VV iha V + 2ahY) rat +a hQ FI 29B. et quadrando. Ii 39y 10Dy07e 2D ag 145C ponatur jam in aequationem cabica soleda data, cubi dari, tollatur ex sea terminus secundus, atque inde mul pe incognitam, seu ad quartum gradum attollatur ut s ed si equatio sit X 4 X a4 attollatur ad quaertumque dabit: X 4 ap d Sic potius: 8 26 y - 2ly- 1 +h2 unde b - 1 y 2+ 2b 21 F 9 - 2a V ja +t rI 29A. =gu 0714 Ponatur secundus terminus aequationis cubicae esse repletus, Et quadrando +20D 73 exufacto ad quartum attollatur, patet fore Y0. atque ita valorem ipsius h inveniri per 9, et l. valor L ipsius b, ex secundo termino, inventur per l. valor valor ipsius g habetur pure ex quarto bnmino; denius valor ipsius H habetur ex lommno 3dio. Si vero quartus terminus sit repletus, auferatur secundus habetur et 3 per, l. ex termino . Itimo seu sto c F 100o. D e On h Suag 129 ag +02 126y ega ag. t, aequal a crculi illu y vag. p