# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797939695:0035 # Permalink to this reading: https://leibnizlegible.com/page/797939695:0035?run=74 # Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1) # Folio 15, page id 797939695:0035 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=35 # Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000035.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.79 # 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. Id- e e le dd re TCd 15. V uid XC One C Ii2 re- ISS en 453 ed ine LIII Cei nio dM 10n Ceometrica. Tertio, cum autem, re plurimiim, duo tinc propolitionum genera, etiam in cle- mentari Geometria, Theorematum scili- cet, ac problematum, cg0 in Theorematis liltendum esse pataui, e a problemaris abstinendum: Theorema quippe cst con- elulio demonstrationis, qua proprietas quaelibet de quancirare appellata demon. Aratur: V. 8. Quod eres anguli erianguli duobus rectis aequales line; problema re- io est conclulio, qua modus demonstra- cur, aliquid faciendi, vel inveniendi, ve Construendirriangulum aequilaterum, in- veniendi mediam proporcionalemr; a pro- blematis, inquam, abstineo inhac Synop, mulcis decaulis, duabus camen praelertiim;. prima est; quia cum ipla cogitatione Con- Aructa fgura, vel linea inventa, aur punctus autquidlibet aliud supponatur, aeque pro- prietas, quae hisurx inect, vel quantitari demonstrarur; immo inde construendi modus invenitur, quod houra constructa calis proprietas inelle demorstreeur, Per quam modus construendi aperitur; quare rbi propriecates quancitatis demonstraue- ris per cheoremata, difticile aeinde noncrie, constructionis, vel inventionis modum, demonstrare in problemaris. Iimmo, vel. inde dilces, mi lector, inurililaboriparce- XC