# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0170 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0170?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 86, page id 824573315:0170 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=170 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000170.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.75 # 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. De De Sectionibus conicis. PROP. 36. Tum (quia, proxter Fyperbolam, quadraca Ordinarim. ap. plicacarum Cune rectangulis Atla proportionalia, uc modo o dentum c) eric HANHa. DA N Da:: Hag. VOG. hOC C, autu. 1at t a = 1a = 2d0:: B2 1dF a + a +1a + 3d0 iutu FC CPr oPcex similia eriangula) HF. Fa:: DF. DT. hoc CA S. B :: ft a. T9 tum h-- DT. ejusq. quadratum +a2 = 2fa pa Tum (DFOPEEEEAnSCnCeM) DTg = DOq Cnempe equa lia hD H coincidanc; vel, s secus, illud majus; ) hOC CR, N a + 2(a B2 = Iut a= +a + 1a + 2da, do per 1atd2 q 1at s2 a2 +s2 + 2 tata2 h._ (ucrinq; mulcipliea. FICIda F- = a2 + 2fida, + 2f4 a ~ f2 a2 + 5= 12 2 2f da. F. (divi dendo per t a) eriit, ia +d a + 3fid F2ju = = + s= a +s2, + 2 f d. Denigi, PonendoD H idem esse punctum Cue cranclcat quancicao