# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0139 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0139?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 70r, page id 00068194:0139 # Scan: The same scan as fol. 69v (00068194:0138), where its text is given. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=139 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000139.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.90 # 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. secunda primi dur Ad datum,A rponere datae rectae BC aequalem rectam AG. solutio: jungatur AC super qua triangulum aequilaterum construatur AKD per 1. 1. centro AC radio CB describatur dcta versus C circumferentia BE cui recta per D Clocurret in E (per Lemma sequens) centro D radio DE describatur circulus, cui pro recta per DA occurrent in G AG = B(per idem temma ErgoA G = BC demonstratio DE CE~CD Erp DE =DC+ CE = CB E DCD CBA DCFCE = DE=DG = DA + AG = DC + AG. Ergo AG = CE = BC Lemma si recta DC cujus terminus est centrum (.. dC circuli producatur versus centrum C occurret circumferentiae excent ad partes centri occurret circum ferentrae t hunia C erga aliquando erit extra circulum prius ergo in circumferentia ex natura continuorum, rade de qua ad 1. imi. 3tia primi ex his clara est, ita ut nihil opus sit addi.