# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0096 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0096?run=74 # Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2) # Folio 12, page id 824573315:0096 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=96 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000096.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine # Lines: 22 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. De Sectionibu conicis. PROP. 5 celer nopvolu Trianculum (quod Triansulum opposs. tum appellamus,) ita et Oppositum COnUM FOrMAEI supponendum est. eleragi in provosirione (prxeterquam quod Detinitionet fint) per le lacis pacene, nec ulceriori cgene Demonstracione. lnicum opus es, uc octendam, nempe Picuram solidam sic forma- lam. (si C onum Distortum eximas,) talem Conum esse qualem de- finit spetonius: Vel, quod idem ck, Parallelos circulos cont notri parallelis Circulis coni Apollomii congruerc. Ouod quidem verum eA. Nam (propier parallelismum Circulorum, adeoq; et con rum Diametrorum in eodem plano extictentium, istalq; Via- mecros distantiis a vercice proportionales,) si latus altero- erum, exposici Trianguli per axem, puca VB circumteracue sccundum circuliunius (pura BafIs) Peripheriam cranhbiceri bens (qui ubiq: suinc dittanciis a rertice proporrionales a batis radio paralleli, adeoq;, durance cora circumductione, criangu- lo quod Axecrianguli expolici, recta circumducta, _ batis ra- dio comprehenditur, ubiq; aCComMOdatur) eoTamq; fixuram deleriber