# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0284 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0284?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 142v, page id 00068201:0284 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 143r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=284 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000284.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine # Lines: 71 recognised, mean confidence 0.75 # 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. ) = - 5 mn ) + 5mn) + + - v + + + v f fiu v fV - V f V loco y - smnY + smny V = emn V + 5mn es +P -m Y poterimus scribere y - 1q y +ar r0. et -q + ar p. EF h + ahl. iu ne y + h. fiet: V + 2dn y (F a ihl An sic ad phum y em addum ) A Fuer: 2y, Eimn y m +m + 23 n3 +2mn. sit equatuo data: 2Y p 429 y +2r e7 ponendo n + n = 2mn p7 ad y e hmn Y + m addamus _V pm 9 P+4 ter: 4y, e. m y +n en ex in C(a nan curseratur, cum: thmn. 0 Emn e+ a y et a9 y+ eta ra nons e+ a p m 4 n. fiet: ihl ae rari ne n-mn. +9 y +arr ergo = la ihla + 2hadp -atia e, aqd, sive l- 2hl, e aq d hadp a. 2 sive ab - 12 - 2hl p7. ar d3, tolletur hoc modo l, et fici aequatio aedp- 2ha iitr duos valors, et habebitur sclict. adqod si jam posset feri: ar e a qp aequatio foret plana at sit ergo y m L y +2dh y + h + nn. -2hl n ya8 =l 2til a +cha ihl a Y + C. +2ta e. semper ergo tres oriuntu ra dices verae et una falsa, unde aequationis cldices esse reales conjicio omnes ejus