# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068253:0019 # Permalink to this reading: https://leibnizlegible.com/page/00068253:0019?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 3 (shelfmark LH35, 3 B 3) # Folio 10r, page id 00068253:0019 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068253&page=19 # Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000019.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 94 lines, status machine # Lines: 94 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. ~II sid td sit geq+b9 20 isi polt 4q aqtbiso silqa +b2ot uut ea A qu las XX (Hab 10000000000100100et (=1 a et binaequaeb el atb =1 ++AECCL19-1+b, q+a -b Ao si positis a+b =1 sit q- ad b. Mairii Ai Y 9g- gAbarag.H ient qu vatbia sut qi- b e ic ut 001010oieu = q e sest 11 100 c seribu e retine a, b. c. d adde asi b, cCd. et 11 scribe retire reliqua, quibus adeenf q- a + b sit 4 f. bf. cs df. es sit 1C4 dC+p + ef = W. 9. scribe q qu-ab+rab retiae aliqua qubq adde Mg. scribe h. retine ruiqua, quibus ad Nod q- ab quatG qab Gup +b) qqab 1 -a N+ il. a = aa a staco (a +bs) oi rab eec a. Yh ah. bh et. d. eti 111 qu ab +1 =0 1001 = 1 velo 0c a-b h V)a sit dtec o (fa (+b) + Si obia vel b,0 si a vel b sid 0 erit atb e+ ab 20 sa a et v et ab+a atab vil +b+ab si a et b sint 0 ent atb ab sit q- 0 1. a+b, a - b = a - b a a 1,.9 Janq- 2ab sit b+ ceLdF+9+e9 xrh +h1 ag bg. c9. du ed sit, 0 et simul nnc altemo quel b sit 1, erit a +b=1 si ab nil aube0 si a et b sit 0 vel a et b sint 1 erit a-b si ob a et b, 0 sit 410 et ob a et b, 1 sit 4, D, et ob a et b opposita sit si ex a et b uno a=1 fiet q = a - b vel q= atb, sed g 9q. (a- b) 4 + bb =0 au ga in 9 -2a = a - b seu q= 2a 1b a- b, i, 1-2a, (qu 1= b- a, 1302ar. = a- b,:, 2b-f si a et b aequales qua qut 0 erit q- a- b ∞2a tbb- urve si q et b inaequalibus sit 4sit 0, erit q = diff. a et b ergo a = da + lb 2 ab seu = a+b 2ab ergo si reqa e redine a e 4 b(Cd tae le ceoete et a- ab a a bq b plqa sin a-hb,a 100d sit M= ab. c. d. C est e 1. sertil 1b-1) 9(4) a (+ (+ )ab aq Laq +) ab +a f ab 20 A∞4000000010 val an a et b aequalibus 4 ht 0, et nae qualibus sit 1 fiet q= a- b. diffi _ D