# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0320 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0320?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 160v, page id 00068195:0320 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 159r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=320 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000320.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 115 lines, status machine # Lines: 115 recognised, mean confidence 0.72 # 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. a +b = X2. Ergo 1a +b= x. du a a+ b X =0 a - X. hno a AX hyd a C vel a 6 XV 4N a) et a Eg Cxa sA cit = X C x Exa X A Ergo H b (X Mapitestum s autem fante daberipore a, faile etam haberi b rectam in plano durei id quaes habita ducetur in b. hac rectangulum ipsi a, addaturus habebimus a +B. 2X ∞ ax + aX, 2x + al Xa F = X si in rectam ax ducecus; u hablbimus cibo X aequale ve a - 4x XaK+ LX = 2X =2x + a 2xa- 2X . 1x 2 a = 2X Ergo fit X + a - 2X. A ax + f et = Xf + Xa Y = x - x a a = 7 a ex f x ax = = X = xs + 84F - X - Fg F2x aq + ax = f9 + qf - x9 = Xq 9+ 2X = X- Xa2 a - 2x in 4+2X + q. +2x 9+2x af q+ Ex seu a + a x = f + 4f - Y - x4 aq + 2xaque farq f 2aX = 59 + exsqs + 45 - x4 = 2X9 - x9 + 3xaq s. 1e + b+ X. sam + et + YC Radicem 2X. X 1 L. X. en a - 2X e 2592 ande fit gro erculo: a7) ut a- xa =2fa 4 2Xf + ZXa quod relasilu N + 2xf = 27a + Xa: Ergo a + 2xf - 2 fa = Xa. Ergo a - 2fa = Xa - X f, siv e a - 2fa - a = Y da Sax Fax 1+ 29 Wx sytra 4+24 YaxF = X dsax + 2X = ax + ax 2X, X + x4 Caxt 4X, + a 2 2 1. 4+ x di c AFR Naxtax 2X - f = 2x4 + 2X + X4 4+2r taxa Aa +BX H 4t ax TX = ax fX + X a - fxa (xa - fX it a+2x, atter. ax VXa L 2Xa +4X+ Xa-fra -fxa - 2fX 1 a Y + 4x et rta = 2fx = d rax +X xt9 YE+1 dard- a + aax fragx +A ( a sgX + GX eax - 2X 2X a -2X BaX v f3X a - 2x IXH= 4x XI- xa + xa ex +a 6 Xx srat xq f x - + 1+x l 27 + a =+ 3X +3Xa aF 2X 9+ 2X a- fi = si 2. a- 2) f- X. a-fa - + 2X - 2a f - ax frf 12as a Ergo a = 1- 2 =ax + 2xf 2 2d) a 2af - a = a 2X] = af ax 2af-a X = a f- x a - 2X stol et 2f L f - x4 = 2X xt sqA 4X F 4qu C=) Xaf = 2xf arra + nrht. Dax tax Aq