# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/73061350X:0024 # Permalink to this reading: https://leibnizlegible.com/page/73061350X:0024?run=74 # Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a) # Folio 16, page id 73061350X:0024 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=24 # Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000024.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.91 # 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. productis, orti exinde excerni enguli omnes simut sumpeius xquancur quaruorrectis angulis. 24. Si duarum parallelarum incer se aequalium AB, CD, termini duabusrectis AC, BDleinricem non decullantib. (incer secancibus) connectantur; concetenres cum aequales cruncincer Ce, cum Parallela. 25. Omnes recta ex una parallelarum in alteram perpen- dicolariter ducte, cum inter se xquales, cum ad illam, ex qua ducta, perpendiculares TunE. 26. In quoris parallelogramo cum opolica latera, cum op. Doliciangulis incer se equantur. Ec contras livel bis bini op Policiansuli, relbisbina opposita lacera quadrilateris inter Le aequentur; quadrilarerum iplum erit pirallelasrammu. 27. Diagonius parallelogrammum Cuum in bina incerle consruacriangula dispelcit. Ip lae aurem diagonuile muruo bisecanE. 28. Si parallelogrammum ansulum unum parallcto- grammialcerius an suloxqualem habuerit; omnes ordine ansulos, ansulisaquales habebit. r9. Sitrionoula duo inter se xquealra Fuerinceciam inter easdem, velxqualirer dictantes parallelasconlticui porerurs e concra. Icidem si duo parallelogrammaincer le aequeal- ea Fuerine; decontra. 20. Friansula aequealta sup er aqualibusbasibus consti- cuca, incer se aequalia Tunt. 2I. Parallelorammaxquealca suxer aequalibus balibus conttieura inter se xequalia tunt. 22. Si triansula Cuper aqualibus basib consticura x qua- liafuerine; etiam aequealca Crune. Parallelograma similiter. 23. Sicriangula aequealta fuerine incer se aequalia; etiam super egnalesbales costitura eriit. parallelograina limiliter. 24. Siparallelogrammumeriangulo luper aqualis bali xequealcum fueric erianguli duplum erit. 25. In quorisparallelosrammo du0 5y278a (exeodem ainsopiipueto estormaca) complemeta, incer le aequacs. Bima