# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0266 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0266?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 54, page id 824573315:0266 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=266 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000266.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. Arithmetica Infinitorum. DROP. LZV I. Theorema. iX cognita quantitate seriei alienjus integrae, c08 nolcitur quantitas ejuldem obtruncatae. Puca, Si A B Triangulum sic Z A B ParraHelOgraM- mi; e a 6 Frianeulum, Z a 6 Paralleloeromni: crit residuum Traverium, = AB Z a 6. Icem A B Parabola: AB parallelogrammi circum (cripei; de a B Parabola Z a B Paral. delosrammi circum Ccripei: erie residuum, E AB Z aB. Et Pacirer in aliis. PROD. LXVII. Corollarium. CTTrianculum rectis quotlibet secetur basi parallelis, agnaliter ab invicem remotis, (portiones agné altas abscindentibus) abseissa Triangula (verticem inter rectas secantes) sunt H 13 4393 16, OC. MHa meri guadrati. Spacia vero rectis illis interje- Et a, Ut 13 33537, C. rithmetice-proportio nales. Ouia Triangulorum abscillorum eam alcicu- dines quam Bales (unE 2 richmerice proportionales: ergo plana in duplicaca raci one Rrichmetice proporcionalium, sire uc numeri quadeatiu L 439, 16, _C. Et Propcerea, Spacia incerjecta, 1, 3 = 4 3 = 9 4, 7 =- 16 = 9_C. PROP. LXVIII. Corollariumo T conus planis quoilibet secetur basi parallelis, e a qualiter ab invicem remotis, (portiones aeque-altas abscin PrOP. 67. Fie. Preced.