# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0125 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0125?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 91, page id 1041163592:0125 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=125 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000125.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 recognised, mean confidence 0.84 # 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. o PRTNCIDLA MATHEMALLCA. Corol. Tlinc recta duci porest cujus partes longitudine dacxe rectis LLuE tribus posicione datis incerjacebune. Concipe Priangulum D F F, PuIMVO. puncto D ad latuS P. F accedente, d lateribus D F, D F in di- rectum posieis, mutari in lineam rectam, cujus pars data D F rec- eis positione datis AB, AC, et ParS data D F rectis politione da- eis AB, BC interponi debet; et applicando constructionem prae- cedentem ad hunc casum solretur Problema. PROPOSITIO ZXVHII. PROBLEMA XX Trajectoriam specie e marnitudine datam describere, cujus partes da. tae reclis tribus positione datis interj acebunt. Describenda sic Trajectoria qua sc similis ex aequalis Linexe cur- eX D F F, quaeque a rectis tribus AB, AC, BC Positione datis, in partes datis hujus partibus DP e P. F similes e aequales seca- BIEuT. 105 D ABC rectaS D E, F F, D F, ee crianguli hujus D F. F ponc an F ad rectas illas positione cacus pet LCMl. XXVF) Dci Cirea TrIdL alum deseribe Trajectoriam Curra D F F similem ec equalem. Q. F. F. 2. LMML