# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0122 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0122?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 61v, page id 00068201:0122 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 62r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=122 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000122.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 82 lines, status machine # Lines: 82 recognised, mean confidence 0.69 # 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. sed et loco divulsionis uti possumus additione utrobiq facta: Aequatio Addatur utrobique + X, fiet: X7 + a p X (+ a + +2.. + apE21 + 7 +4 + aq X (+ aexu +92 + rapt = aY Jam ante omnia: (+2 + 2ap t + ap)-ar delet aequari quadrato, quod sit (+ + rapF + a ), tap Crcet +co Eritque +, 4+2 con apcoliar- ar 2cdd conferendo jam t X + a5 tX + a5 cum posteriore superioris 2 aequationis parte, habetimus: St aq. et pro substituendo ejus valorem habebimus: et 5+ cut brri a L y c0 vel aq 20 =co a- 2apc aer et as p F ap + col ot raptot ah rapectio et s a2 c A co - rarCo + ar item s j v 0 = co rapCd- ar Wd. fer b itmea u apV . a Et EL p Cum aliter habuerintus aP H Xcp co - 2 arcd+ a 24 qu cot- rar Cd + a v cu ya 32 RH 3 et PF H ∞b. Ergo Xb a 1I qu 22 qui fiet 3 et Y b vel yp Vab. sinc multiphiatione habiussenus: a Si ab initio fuisset a - aY - 4 ap + vel + r ar 4p quantitas a p +2ap F +- ar statim fuistet quadrata. secmpe radis a latere. A P + 47. at s+Sp 4p d erit 9 X ar =p 2Y un ap 2p. 1 tam V + Y +ax Y a y 1ad0 ponatur +. X + 51. Unde 3 a XA +4051 X +6 enae si A p X+ 6 +3 51, (+ 3p B st .. + PSI +451851 1. a + ax51 qu (10) ta 1o3