# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068124:0307 # Permalink to this reading: https://leibnizlegible.com/page/00068124:0307?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30 # Folio 152r, page id 00068124:0307 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=307 # Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000307.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 108 lines, status machine # Lines: 108 recognised, mean confidence 0.63 # 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. iOTHOFREDI GUILIEImi LEIBNITII Quadratura Arithmetica seu seul 9 RATIO CIRCULI AD QUADRATUM circumscriptum in numeris rationalibus exacte expressa, nede figunt. si quadratum Diametri sit 2. Circulis Area erit + -g +5 - + 3 = + - L + = - ec + elq H 1+ 15, 17 19 e1 13 Circuli Area (4: . L. -. L. = est Differentia duarum serierum progressionis Harmonicae uae facit.... : + D 13 .. L. L. =. L BC 3 11 15 19 35 99 195 523 tysusa-ai Numero Deus impare gaudet + - 5 + 8 - + 2 EX da + = 15: e rea d + 1 = +g. -un c. L 3 s d de a 20 Ed e e X . 18. eoca pro a eo in ce e te e 10d- -- a i so su. e 41 B.- B. 10 51 15. 1 e e e ++ (5 1+. = a ad - E - ( d6 018. 10 ∞r a 1. 1 8e - 13 A. a F∞ 1X. 1X 1 a ad lo . ea d I --1 4∞ i 1 -1 - in 0 c 10. ee + con - troo - 10 c li m e In Ludolpha. Diameter s sit (1 circunterentiaci 3 1 4) 159 26515. 89795. C1 10.21. 81279. 502 88 8 c. = c Si ADCD est: e 9 1 195 + esc. 323 L D di 22 Ludolpho si quadratum ABCD sit 2 erit Circulus 2 + + Y + L 4 + 5 + +2 _c. Sed non 10 100 1000 1000D 1060OD 100000O Petuit dare seriem, seu regulam numeros continuandi in infinitum balorem exactum 36 1 ol