# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0168
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0168?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 84, page id 824573315:0168
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=168
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000168.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.84
# 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.
DROP. 35.
Patet etiam; UeDiameter-tranlverta, ad interc ep-
eam; Eic esebinorum Rectangulorum ca quae diame
eris incerceptis proporcionalia, ad Rectansula earum
quadratis proportionalia. Nempet. d:: ld. = d2.
Etem; TIEDiamerer-transverla, ad Latus rectum;
ita quadrata diametrorum interceptarum, ad Re-
ctansula quadratis illis proxortionalia. Nempe t. 1:
d2. = d2.
Trem, UIF Diameter eran(verta, ad incerceptam; ica
utriutq; aggresatum, ad quartam; quae ducta in La-
tus rectum, Raecangulum etticit aequale quadrato or-
dinatim applicatae. Nempe t. d:: t+ d. d-
FA + d2
+
 t
tat de
l= B2- 1d += d2.
Adeoq: CIE Diameter-Fran (versa, ad Lacus-re
ctum; sic Rectangulum sub Diametro. InFerCCPCZ EC
assresato diametrorum trantrerla e intercCPIK, ad
quadratum Ordinatim applicatx. Nempe t. I:: rat
22
Fdt p
=b2 = Id +, a20
Vel EIE Rectangulum Diamerro intercepta, e 28
resato Diametrorum eranrerlae et interceptae com
prehensum, ad quadratum Ordinatim. applicatxe: SC
esse Diametrum transversam ad Latus rectum. (Un
de Hyperbolae Lacus rectum commode reperitur.)
Nempe, 1d + 42, B2:: F. 1
1d+a t.
Inde sequitur; Ouadrata Ordinatim- applicatarum.
Roctangulis Diametro intercepra d aferesato dia-
Metrorum eran(versae _ interceptx comprehentis, elle
proponionalis. Sunt enim ubig; ut tad l.
Adeoq: Prout longius a vertice removecur pun
ecum. applicationis, ica semper auxeri Ordinacim- ap.
plicatas
+