# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0146 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0146?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 62, page id 824573315:0146 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=146 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000146.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.90 # 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 Sectionibus Conicis. PROP. 26. applicacae cum expolica diametros) ipE93 AS parallela pona- cur aB = Aa = 1, angulum Faciens AaB =SAa: (Calcem Can. eae sinc longicudinis AS, aB, uE sIE AS LaB =113 modo incerim non sinc AS, aB, invicem aequales; eo enim calunon Conus, led C.glindrus prodirec:) EC jungancur rectae 85, BA, quae conci nuaca coeane in V, complences criangusum VaB, (E nempe aE ajOP HE quam AS, prouc jam supponimus; vel, A leCUS, eriansulum VAS:) quod esto criansulum per axem C oni mOk corltruenai. Deinde Super rectas Aa, 2B, duo plana ica erisaneur ut com- munis earum lectio ao taciae cum recta aB angulum rectum, cum recta vero Aa angulum aequalem angulo inclinationis FI lipleos propolitx. Hoc enim ommino teri posse constat: Si e- nim erisacur in puncto a recta aco, quae sic recta plano erianguli, (adc09; utrolq; angulos cnA, caB, rectos Faciat per 3d 11p) circumvolvatur circa rectam aB uc axem, invariaro angulo caB, donec ad licum plani VaB perreniat, Faciacq: in plano eri- anguli ansulum coaA acutum; quiminor erit anculo (acuros incellige, nih urerq; rectus lic,) inclinacionis Bllipleos exposi- Ex, (cum sIC, ex constructione, angulus AaB complemenco in- clinacionis major;) necesse ekut in erantieu aliquando fecerie angulum, inclinarionis ansulo aequalem, (Factus enim eseran- sirus ab ansulo recto, adcog; debito majori, vel Calcem aequali, ad angulum dehuco minorem;) adeoq; cunc fuerit im situ debi- c0