# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0591 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0591?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 296r, page id 00068194:0591 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=591 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000591.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine # Lines: 75 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. problema: Datae basi Trianguli, uno angulo ad basin, et flano sub duobus lateribus Dinvepire Trangulum. tangen et CF Esto basis a. jus anguli eati b Caltitudo Tianguli-X erit = = a. Ergo DF = ab, ejusque D, a b addatur ad X DF recta N. datu e etiam limeatG. fiet CD = a b + X ab+ X ergo et a rectam _. ratio- 8E jam dati Eg Porro EF = a = ab ejusque B a = 2 a b + a cui si addatur X, fiet CE= a - 2ab + ab ducantur in se invicem CD= ab x et CE = Sa X - 2 a bx + a b + X datur fiet S. abx - 2a bx + a b + ab X + a X - 2abX a b X + X X 6, X - 2a b 6 A 2a b + 2a b + ab X- 2ab.7 a6 vel: sitan cono datur GE Di ergo et HE,G est = GCFD Ergo datur et AD. ergo datur et Hi datur et GH. porro HECd = DECF Em GD. DE = CD et DC= HE = Ego- ee ergo si p paralleta A, et = DE, tunc EF mod lEas adet in N, quia 2. ae solitur + X _+ a - 2abX + aeb X (). A2b X- 2ab X + ab = - 0 -a e Aequatio data Eequatio similis 00,000000 vel: C 0 0 0 0 0 0 0 0 d +4 000,000 2aD0, 000 111000 sabb0 rad 0 0 0 0 0 0 -ac 00 0 0 +47 0 0 0 Si se E et CDC ergo CF = CE. Ergo C CF C5 D 2 datu 10 cda - 4 e= 6 d= Y c- Et posito a=1. netalis pro lilitu 90 7 b 5 vel 1 0 3 4 5 0 7 89 =- 0 depressam. vel 10 1 0 3 0 5 g 7 0 9 = 000400080 e 0 4 Vel posito: ac 1. bc 2 c 237 fieti . ... 24 35 seme vide in plagula adhaerente, idem problema bon e se solutiu aequatione vel. 10 4 1 0 256 =029