# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0279 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0279?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 67, page id 824573315:0279 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=279 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000279.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. LrCP. 66,6). arithmetica Infinitorum. PROP. LXXXVI. Corollarium. Imiliter. Si respectivis rectis Trianguli AVB, e DSemiparabolae ADB, sumantur tertiae proporiionales, prodibit Parallelogrammum ADR: si respectivis rectis Parallelocrammi aDB, semiparabolae APR, prO- dibit Trianculum ADB: se respectiois rectis semiparabolae primae AVB, C secunde ADF, prodibit seniparabola tertia AEB: C pcin aliis. Segnicur ex praecedente. Quactrata enim rectarum in semi- parabola, consiuene P, ramidoides Parabolicum. Ostendicis, in AG. PFE CCc. SCHOLIVH. Ec pari modo de aliis sigurocum Policlerum aet Planas appli- carionibus relpectiris judicium hec. Psestkicie pancas exerope cauta indicasse, ad quarum imitaionem Ceri polluBe InEUIBIe D2 alIX. P R O P. LZZZVII. ZBCOreMA. YT proxonatur Peries quaelibet predictarum Dec aliam suxerioris gractus scu porectatis dividen- da nulla jam memoratarum Peries prodire Fo terir, (cum index petestaris superioris ex indice pou satis inscrioris, major quippe ex minore, auterri non pelut:) Ced aliumodi plane series, cujus nempeterm i i unereciproce prorortionales homologis cerminis alterius Ceriei, quae irciicem habet aqualem excettui indieis Perici dividentis supra indicem leriei dirile. Seriesautem PC provenientes, Peries RCciPNOCE SP pellentur, habeantq Tacices Resatiros. Exsemplioraria. Sileries Sccunianorum dividenca BEFer leriem Texcianorum, vel sexies Primanorum, ver Ceriem Ercunda vorums vul series Aguallum per Periem Primenorum, (utsi Perr lo. d 2