# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851385079:0086 # Permalink to this reading: https://leibnizlegible.com/page/851385079:0086?run=74 # Title: [Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea (shelfmark Leibn. Marg. 106) # Folio 74, page id 851385079:0086 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851385079&page=86 # Source image: https://digitale-sammlungen.gwlb.de/content/851385079/jpgs/default/00000086.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.88 # 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. Prop. citu De Definitione Logica. quipplam dmonstrandum est, detinicio Circuli succentu- riacam ipsimedio praestar operam. FaXta bobloto Sect. 2. 5. 18. Uc in proposicione prima Flemeneorum Fucli- dis (quam Sect. T. Cap. 4. 5. 15. debice Formarinus) quoniam rectaS AC. _ AB. itemque C B et AB. cum duorum circulo. rum radiis coincidere iplum exprese supponie Propolitio. nisirsueror; isitur circuli definicio (gnam ettari subjectum se iphiamdum, sed impliciro conceptu, involrit) Facta repe- cirione conceptu reluc explicito crolucaipsi demonstrario. nipraecenditur, quae praedictas rectas, nempe A C. ipA A B. _ CBipA A B. aequales esse; eo ipso quod Propositionis sub- jectumhoc involrac. qualiclara voce proclamer. Ouo ip(o ia sculi paraeur ips Demonstrarionitioc modo Ruenti. Oua erdem aequalia sune, illa inter se suni aegualia: Arquitria lacera Trranculi siC. constituri sunt eidemae gnalia F. Fria latera Frianguli sie constiruri sunt inter se aeqna- lia. 5. 19. FujusSyllogimi demonstratiri Major Proposi- cioper se constat, et cAt axioma primum Flementorum Fu- clidis: Mnor Proposicionon es ipla definitio vel subjecti applicatio vel praedicaci conclutionis, sed lalcem ex inrimaca detinicione Parcis (circuli; quem conclusionis complectieur subicetum) accedente ad huc alio primo principio Auit e cognoscitur, dum lacera eriansuli sic constitati supponuntur consruere cum radiis ex utroque rel alceruero circulorum ceniro ad circum ferentiam egressis, un de cumradii sine cidem, nempe communi AB. aguales, ipla laceraradiis congruentia criam erunc eidem aequalia, juxea axioma commune, quae concrunnt, inter se sunt aequalia. Onibuseanquam cants a parrerei con- Sicuris, succencuriaca Palrem definitionis opera, relultae caulacum: Tria latera Trianculisic constreun sunt inter se aequa- tia. Oux conclusio licet rerbis quodammodo discreper a propolica: Trrangulum est aguilaterum. Concepturamen d rciplaconvenit. Sed meplone idem quod ad demonstran- duor Cujus demon sabbC