# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0313 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0313?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 101, page id 824573315:0313 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=313 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000313.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.73 # 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 insinitorum. SCHOLLV M. 1O1 Ec paricer judicandum erit de Conoidibus e Pyramidoi idibus complementi Cemiparaboloidis cujueris circa ipstus or- dinarim applicatam apcaris, juxca proposiciones (equenTES: Nempe mucaris urandis, prouc Cemiparaboloidis gradus po. Aulareric. Puca in Cemiparaboloide cubicali, ut 1 ad 10; EM Biguadeacicali, ur F 2d25; in Surdelolidali, e ad 2L. BC. iuxta EabcIam PFOP. L3T. PR OP. CRZX. Theorema. YE exponatur series Agualium mulctata Perie sub- certianorum; Residuorum Ouadrata, Cubis Bi- quadrata, etc: ad seriem toridem eorum maxi- moxqualium, rationem habebunt cognitam. Nempe L10P. 13d. Seriet 1 V d R -n V 3b R V EC. 2d Via. C d dunctaca. VR 2 = 2+ 3aR + V 22 VR 3VaR +3V aR mV V= E a = 2Y3bR + V:b2 ~R - 30ba f3VbR ivB VH = Y CR FYZC SR = 3CR +3F C=R.C 22 _C. ad = 2V 3RR F VER AY A2 Na = 3V R va anaRe E AV RE +ZA, 2R= AR _ Z AR F 3A R = EAR +3A nn 2 = 22 1 R ∞4 abi. ae +3 + 6 = 10 eC. alque ad L1+ 10 +3 + fic sic aeepo Comu achuo nunicros chadulares lel axeregaca numerorum arichmerice proportionalium, ut habe- acur conlequens racionis cujus ancecedens cA L. +10 =