# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0379 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0379?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 167, page id 824573315:0379 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=379 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000379.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.82 # 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. Arithmetica Insinutorum. PB OP. CLXXSVII. Theorema. N Tabella prop. 184. TIF posito scrici secundae, hoc est, parium primae, charactere I, re- liguarum ex paribus characteres hunt continua + Y ulciplicatiOnE NUMCTOTAM, L = X - = X + 2 _c. (ut dictum cAt prop. 178.) vel (quodtantundem valet) 1X = X 2 + 2 t 21+ 4 2146 8 ec. tC, POtcO Ceriei primae (imparium) charactere A, religuarum ex imparibus characteres tunt continuâ multiplicatione RUMETOTUI AX 2l - 1 2IF+ X21+ 3 21+5 q. _C. A- deog; exhorum uno cognito innotescent ctatim et re liqui. Nam id postulat analosia prosrectionis Rrichmetiex, quae de in Numeracoribus et in Denominacoribus conspicitur. AC9S id iptum comprobar inductio locorum omnium qui complen- TuC; uc non sic dubium quin et idem de racuis credendum GIE. Adeoq; ex imparium charaeteribus, uno cognito innorescent etiam _ reliqui.. Laler. Ccaad. ehibibm P. 187 ngulis lectobus labea pep. 10 Si pri. musterminus ecacut i, tetcs (hoc elt, pri (tam Pares Quam impares) tunc continua mulciplica- tione numerorum sequencium. HODC mes Pactaussed cecsu otes ejuldem lcrici Impareo