# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067968:0072 # Permalink to this reading: https://leibnizlegible.com/page/00067968:0072?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9 # Folio - , page id 00067968:0072 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067968&page=72 # Source image: https://digitale-sammlungen.gwlb.de/content/00067968/jpgs/default/00000072.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.80 # 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. Lib. 3 Apud Rappum recensentur decem La inalt diarum recensentur ha species pergrassioer aceC inter tres terminos 8, bah. C d n - b = b- c Arithmetica Y 3. 2. 9a: b :: b:c Geometrica a -b :b=c: a: Harminica Ac bucsi eta a 4. a 12 4. 2. 1 a-b: b-c id cid Antiharmonica la C. b Antigeometris pct 6. 3. 2 6.5. 2 5. 4. 2 Ja-b: buc:: b: a Anti geomerica posteru 6.4. 1)ab: b2c. Janc: a- b :: b.C ta- a-b.: a. b 9) aC: a - b: = a: C 19a =C: b = C:: b: C 11)a -b: b2c :: a: b (2) a - b. b =c :: b: c 13) at: a-b:: c.b 4)a - c: a - b 1 c: a 9. 4. 3 conf. 111 Geometrica Geometrica 6. 4. 3 A. 3. 3 2 impossinum sit ab cb = ab - ac sit b2a impossibiles quia ex hypo thesi amaja quamb, et bquo ergo anc major quam a.b. emi )A-C: a-b 1: bea non et esse illa hae ut C micor sa b dncjorem, vel ut b minor ad a 1b) a-C: b-c: a. c emposit oorationem specieem cotencare 17a majore C 2 bc:: a: b6) f enim b = 2C = CC +A. sit CF ea auc 2 bc 1 19) 11. 19. 20 impos. 1 ees 10) ut 13. 14. 15 1 bea C+ se etb fiet b= rea = eea. Ergo deb e esse integer ergo C. cbit esse 1. Ergo caa contra hyp.