# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0272
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0272?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 60, page id 824573315:0272
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=272
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000272.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

Arithmetica insinitorum.
PrOP. 75V
corcum indicum ck 6, ham 3 + 3 = 2 F 4 = r +5 = 0+ b
a8
6.) CLlmiLICer in alt..
SC
eROF. L. LI. Corollarium.
T ADB Paralleloerammi reca omnes DB, in DB re-
ctas Traneuli ABB Caque- alti) respective ducan
tur: rectangula produit a e-
rent series primanorum qua
lia sunt plana cnnei Parabo
lici, prop. IX. Con. Sect.) pro
quibus si substimantur toti-
dem Duadrara (vel quavis
aliae figurae plana similes) il
lis aequalia, constituetur Py-
ramidoides Parabolicum: E.t
eorum Onadratorum (v el fi-
eurarum similium) laterau
vel medie proporrionales in-
ter rectas sic multiplicatasq
DE constituent Parabolam, vel semiparabolam.
Incellise, Eplata illa, vel. medix proxoreionales, quae Sic
emersum, supponanur ad rectem aliquam ica ordinacim- posira
uc figurarum consticuendarum nacura postulac. Quod S dein-
ceps aliquories incellieendum eric.)
Nam, cum rectae Parallelogrammi, Ene Ceries Aqualium
(cujus index 0.) e rectae Trianguli, Series primanorum, (cujus
index +:) producecur, mulciplicando, series icem primanorum
quia 0F + =L,) qualia lunc plana cunci parabolici, de
Ppramidoidis Parabolici, (Per PFOD. 9, IF. COn. Sect.)
d medixe proporrionales Cseu lacera similium plano-
rum ) erune series lublecundanorum (quippe uc Radices
quadracicae primanorum) quales tanc parabolarum rectae pex
PrOD. B. CiOn. ScC.
ADF.