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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 142r, page id 00068199:0283
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=283
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.
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 sit Hyperbola aequilatera, VV(Y,
cujus vertex Centrum C vertex V
puncta alia Y, (V) Asumpto
 quadratum quod ex Y agati
B,, CA
asumptoti invicem angulum
rectum facientes, ex Yagatur
ad asymplotam CA, normalis YX
sitque quadratum ABCV aequale
rectangulo X, et CX  X
vocentur X, y. Eb
sit
seu aa
a quadratum ACBV (aequale
unde da a) = d(+)) jam daa ectanena uivis quale X
et dcsris xaut inax+ reyax
u
corlessstendius
u Jum in undto
Ergo 0 = j X ay +)ydX + dusaX, vel si y decrescat a- XdylLyeX - dyx
tabema aa
pursus duucta recta Hyperbolam ibi contingense occurrat
asymptota CAan puncto F constat autem ex Apollo
nii jam inventis
esk
se
adu
esse
anis ex
X ad XI, la estexs
hypothesi a nobis in primo scredia smate de sclcillo dise
rentiali actii lipsiensibus in serto assumta  dx: .
dea
jam de
YX. XY est ex: dy
cum am  et X simul crescunt, seu est ex: us, cuur