# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0355 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0355?run=74 # Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2) # Folio 143, page id 824573315:0355 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=355 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000355.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.82 # 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. 20D. Arithmetica insimtorum. veriu sg; Seriei Tumma Scorsim innoTe(CCE Per prOD. 2 8r 20. 5, Nempe, summa Periei primanorum o F a. F b + C. EC, quorum alcimum ek I, numerus locorum l. F L; crit PeF PFOD. 2. ec Cumma Ceriei sccundanorum 0+ a 2 + B 2 + c = _C, quorum ulcimum cA +2 _ numerus Jocorum lF L; exie 61 L= vel = - 12 + + L1. Per PrOP. 20. 1+ E 12 + 1+. CeriuCq; isicur lummX aggreBatuM (Puta 12 + 1 + Y 6 b) nempe 12 + 612 + 4 1 3 31= + 31F21 +3 pe FH 41 - cA aggrexacum duarum serierum; cujus a8 +3 gresaci Cemiltis lacus L. Idco9: -nnum 12 + 21 cA numerus pyramidalio cujuo DROD. CLXXVII. PbcoreMA. atus numeri cujulris Prramidalis ad ipsum nume- rum Cuum, CAt wE l ad Etc obenditur est in praeced. + 212 + 21. RC, daco numero poramidalie non innocelcie iptius lacus. nist relolrendo Aquationem Cubicaro 6n = 1 + 312 + 2. l. PROP. CIZXVIII. Zheorema. Pries numerorum Prramidalium, in praemista cabella commodeinterpolari porerit; Eiplorum numeris laceralibus eot interponantur medixe a- richmericae quoc opus est, e ex iis Formentur numeri exramidtales, juxta prop. praeced. Puca, Ei numerorum pyramidalium 1,43 10, 50, 35, 56, dic. laceia