# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0347
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0347?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 135, page id 824573315:0347
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=347
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000347.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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 Infinitorum.
ec.) erit aporesatum rectangulorum illorum (puta
V: aD = a 2: F S: bD = b2: + V3C D  C2: EC.) ad 98-
Sregatum horum (puca Na2 + Vb2 + vc2eC vel a + b +
cec) ut unicas ad numerum intermedium, numeris
diagonialibus X, 2, in Tabella PrOP, 132 IntCrDO-
nendum.
Seqnicur ex prxecedente. Nam scries Subsecundanorum est
Serici Aqualium, _ seriei Primanorum incermedia. (ut PaCCE
ex dietis prop. 64.)
Scries aurem Subsecundanorum in sciptam directe pohcam
(DUTaVa, Vb, NC, _C. in Va, Vb, Nc_C) eAt series Primano-
rum (Duca Va=, Vb =, Vc_C vel a, b, c, _C.) cui convenic ra-
eio E per proD 44, vel 64. Ec propterca, si ratio quX conre-
nic Ccriei Primanorum in Cciplam invertam ductxe (intern cdia
nempe rationibus : 3,) dicacur 27: Racio rationis hujus
D 2d illam 2, Duca 2 ) = (,7, eric (per pi aCcd.) ca
quam habet Iad nuMerUm inECE L X 2 incerponendum, in
leric digonialium 1, 2, 6, 20, 70, &c. tabcIIae prop. 132. Dui
numerus iritur inposterum dicarur _. EA9: Cen illis numeri incer L 8B
6 incerponendiin Cerie 1, 6, 30, 140,630, _C.
PROP. CLZVIII. Corollar.
T prOPterCa; Circulus ad quadratum diametri, est
ut 1 ada, numerum nempe inter L e 2 interponen-
dum in serre diasonalium 2, 2, 6, 20, 70, 9 c. Tabella
prOp. 132.
Cumenim (Per PTOD. 233, 735.) Semicireulus ad Oua
dracum diamecri (ic uF L ad 2 C Cnumerum incerm edina inccP
L_ 6 in Terie 1, 6, 30, 240, 630, 8c.) crie circulur (quipue
Temicirculi duplus) de T ac a, (numerum incermedium incer
2_ 2 in Ccrie 1, 2, 6, 201071, _C.) per Praccd,
Ex quidem eadem racio ; c2 eAt, quae incermedia ponencta
CRincer Z _ 3, in serie 1. 53 15, 155_C. PrOP. 118, & 1+ L. UE
_ deinccps cciam ulcerius faCCDICo
P. 168.
dC 1 lo