# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1025220307:0024
# Permalink to this reading: https://leibnizlegible.com/page/1025220307:0024?run=74
# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 18, page id 1025220307:0024
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1025220307&page=24
# Source image: https://digitale-sammlungen.gwlb.de/content/1025220307/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.77
# 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.

yi
Or 40r:
112r5 dc proinde
1
SLCB = 
exue ABC L21
P. 20 r3
LR O Bo.
Fllipseos Duadraturam determinare.
HI semi ellipsI L SC D sic Pemiaris eranI.
vertus AS = b. _ lemiaxis conjuratus
AL = a e ponatur abscista AMI = y,
ordinatim applicata A C = 2. unde ex nacura EL
lipleosZ =
V a = y uC ergo determinetur Area
AMCS, primo resolvenda est = V a2 = p, in se
riem extrahendo radicem ex V a = y; unde inve.
neTUE Z = b
y
2 a
b3
=----_C. QuX-
5a 16 a
renda igitur est Curra aliqua AFI in qua Semper PM
2a 8a 7645 -- - _C. _ IVeMICtIE
per Prob. 1. illam detiniri hac aequatione n B. y -
nB
2 a
b
16a
=x ec deterinando quan-
TITaTeS,