# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0340 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0340?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 170v, page id 00068195:0340 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 169r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=340 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000340.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine # Lines: 74 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. Siby + ibl - 3 - h + ehy + V ( Pray + 25 + g Et quadrando: B N + g + 2Ag; et ordimando B = A = q 2gA, et explit 2 by + 2b h - y2 h. + 2hy + - ray + y = g 7 29A, et ordiiando t y ab y + abh I 2g A, et quadrando 4 - 2a . ha 0y oy yEe +D 49 N 7 = 4ag... -. 9a t XG .08 X - 8ga) + ap 8 0 in sieha (pure Et asquationem i multiplicando ut habeatur in ea = h, et alteram aequationem totam dividendo per +2 a, ut habeatur etiam in ea pure h, abjiciendo utrobius, h, componetur nova aequatioet dinsorem itque ut in priore nullus restet, in posteriore fiat radix ex quadrates habebimus: ++ta ata Ita novam aequationem et negligeni in qua extabunt er h et h idn nta ex qua ut auferatur E, conferatur 310 cum prire prima, divisa per aa h, ipsa divisa per multiplos ipsius h, abjiciatur A utrobique et habebitur quarta aequatio, quae sola con- ferenda erit cum prima nam cohobius extabit tantum h t, et atque ita valor ipsius h habebitur purc, et bis quidem rende conferendo duos ilos vatores etiou valor epsus ldabitur Unde habemus b7 t a - h 25 -9 ar Ergo jant O, fiit 4Dha-ti h +21 6+20 ar 4lap 8 fait vetrap phiae tia +4 hal + Btatq the 2to1 -46 hae +( + D lar v 4 + ar +2ap 1. 2 L’at 0 a e vel sia 9t. 10 0 1.64. + 2 8 ab vel h h a +127G a a + 1224 Ergo.... (7 h -.