# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0138 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0138?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 69v, page id 00068194:0138 # Scan: The same scan is also registered as fol. 70r; its text is given once, here. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=138 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000138.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.92 # 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 (S..dC circuli producatur versus centrum C occurret circumferentiae excent ad partes centri occurret circum ferentrae uaC alicubi in E. produci enim potest, in in eoga 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.