# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068033:0045 # Permalink to this reading: https://leibnizlegible.com/page/00068033:0045?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15 # Folio 23r, page id 00068033:0045 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=45 # Source image: https://digitale-sammlungen.gwlb.de/content/00068033/jpgs/default/00000045.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 108 lines, status machine # Lines: 108 recognised, mean confidence 0.79 # 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. S. Series: + 64 4 2 1 16842 1L 1 1 e L 1 1 1 48 1632645L8 primum uest ad 2 secundo primum f. +ad 15 48 24 d 16LF 256 san 92 64 laequ s 2, 16 27 3 8, 2-1 256 vel 1 sumtis quotiunque finitis ordine. a. b. 22 15 ut = ad 270 ita Ex item a 2 32 12- 1 aequ 2 = 1 1 2 9E L, 2 =1 minus differat data si esset 72 2 2) nunc erit opinor a a C. d. 2 Videndum quae sit quanticas a qui ista , 162 - 1 quem ipsa sola ingrediantur haberi possit = 2 2 169 f2 - 1 l aequ. ( 2, 16-1, 4, 4-1 8, 2-1 16, s-1 32Z. uavis. le quaeritur serici terminatio. Videamus an unul abscissae vero 3840 4096 a ad 1, ut L ad 3 seu + aequ. =, mox t aequ. 12 2, 16.) C item aqu. . item L item 1 et generaliter C aequ 4, 4- 1 aliquo modo ex ipsis idem componi possit. 2+4 E V a Z ad Var -a et L ad v - Jrav, seu 1 ad 15 vel 240 a 151130 secundum 5 12 e erit = ad 3 vel 12 vel 48 vel 192, id est ad 4- 1 42 laequ L est autem vel e terminatione, ubi a. b. c. c. 2 162t - 1 a esset opinor aequ 1627 -1 62 _ aequ 16(2) - 1 vi deamus an calculo aliquo in 16 il aliquid in quo non extet Z. hoc enim posito in epsa sunt aequalia habebitur quaesitum. = 2. Fingatur curva cujus ordinatae sint ipsae + id est avel berc videndum quae natura curvae talis. aequ. ponte sufficit etsi non ex solis a. b. cad componitur adhiberi e ita, ut impatae poni possit aequalis sinfinto e 1640 2 ad pita laol L 4 2 mance ec a+