# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068049:0170 # Permalink to this reading: https://leibnizlegible.com/page/00068049:0170?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4 # Folio 85v, page id 00068049:0170 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=170 # Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000170.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.76 # 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. Caa+ a + X summanda. F aciamus a 4 a L 4 Relil a +4 summanda a: Sa +X et X; Ya+X. Utraque tarum rursus potest resolvi duas nam fit Ls si Na =X summnda fit Va -X. VataIta vel a-X Va+aaxt aXX+ X: Ja-. ita etiam resolvemus e iti in duas. sed nondim hinc finctum video d quod si sic videamus an formula quavis s. data liceat ae quatione liceal du os totsere tominos iafimos ad est efficere ut tum radi cum productum sit aequale. niuilo tum eliam summa ex reciproco ridicum sitt radices: Xx+ a x+b, X+ C, X+e explicentur per Et fial A X = m B+nn.: y+p fies pro x ta fiet emytun, seu radio fieat y+ nntap An+CP nn+ bp inta y + M+ b. + agrap e nat e )+a m+ C 1 nte ut ergo fial terminus ultimus nullus, aliqua ex radicibus debet esse aequalis nihilo, et fiet nn+ ap L0 sed non licet una eademus ophia eficere, ut et terminus penatrimm sollatur, nam berelit dua esse nihilo aequales. A ergo sic ergo melius, quae methodus oiidetur suire pro omni rune particulari Ye + bX + CX + Cx + f tollatur ultimus terminus, et sed nihil hinccu sic. sit cota (X X4 + bX + Cx + ex + f sideremus ad ut aequadum fet y. Vytramg p (terminandam ad duas rudices aequales. sed juu video non licee gratio frmula X quia non sb effici, per explicadem simplitem ut sint duae rances quales nisi facian A= X V. ser tunc ota nimis altie sulguat dec lucramur quid si sit dex peuas sl CX + vy bxb + C = G. quod suubstituendo in X+bX + Cx = coH et _ Vr. 9 + y +. y = 1. ubi co ascendet ad cot ita ninl hinc