# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0117 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0117?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 59r, page id 00067993:0117 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=117 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000117.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.85 # 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. sea _ est media popt Geometrica inter B A et L. erit Baequ SAL M est media Harmonica inter B et L. Ergo si sit L erit sintque vis s Baeqo F. seu raqu . et Laequ seu saequ fiet Maego = seu M aeqo BL: . 2 + B. seu Maegu ELYAL: L+ +AL seu Maqum a. boqe sal mag Cuqu at sat a + val Vaeg. 2b -bcc. laequ ec 3re xanif -rum EF, seu Maego 2AL: A + SAL corgo sal sal. a + sal. caqu so 2b seu a aequ 2b - bcc : cc a +b naequ 2 cm: m+C est autem Caeqo obin Vet b aego sal. Ergo Caego sm sal rutus se ct aequ. nm al. seu a aequ A. t uit nm +ne aequ 2em. seu Cego nm: 2m- n Ergo Im sat pno nm: im-n. seu N sal aequum 2 seman seu a aequ nm illet im- n pursus am tsal aequial. seu mal aequ gaall - 4 a m +a mm en a aequ. WI: _ () 21 - m Et aequando duos valores, fiet: n: 12) Em n aequ II: Fs 2lm seu n: B)2man aequ l: 21- im seu 2nt- mi aego l Et Eman. seu laego mn: C2n R-() Em- 1 seu laequ. mn: +Zn - 4 m + Amn erit Sifingamus a aequ. b. fiet: cenquolt ee aequi et eago b i vero ponntas a aeque. fiet: C aequ 2 b3 - bcc. sed func similita ponatur laequo siet 3n q3m aaequ revera etium fit baegoc quia hac aequatio dividi potest per C -b. quid si faciamus ab aequ bce tiei tiei ab seu ccaego 26 b sed si argobique fiet. a + sal sexanus Inscript. circums 9