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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 208, page id 175905688X:0230
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=230
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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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# After the first blank line: the recognised lines in reading order, one per line.

208
FR AN CZSOL a SCHOOTEH
LiCto A B ∞ a
B C ∞ b Fiac propter similicudinem Arun ABC _KFL
A C ∞ C
F B ∞ d ut B C ad C A, ita F. I ad
L. I ∞ X
P P ∞ y Rursus tac propter similicudinem
Nrum ABC _E F BS
UE AB ad AC, ita E B ad L
L
HEDR.
Hinc (I Hat, uE a b ad c6, hoc es, UE D AB C ad D AC, ita d.
Hoc est, EB, ad quartam, gua sic P. N: exit P. N ∞ EC a
ab. Qua
Sibrevitatis caus a nominetur r, habebiturrx ory. Ouod ipsum
est, quod ab Apollonio est ostensum Theoremate rmo priimili-
bri Conicorum, ubi docet, rectangulum quodliber, sub recta
INV seu r sic inrenta, e diametri legmenta F I, quod inter
verticem ejus P _ ordinatim adplicatam PI intercipitur, com-
prehensum, esse aequale quadrato ejusdem ordinatim adplica-
EX FI.
EEbi nocandurri, lineam hanc inventam F N Peu r, 2b A poIlO.
nio rocari Lacus rectum Parabola; vel eriam Lincam,
juxca quam possunt, qua ad diametrum E D ordinatim
adplicantur. a Mydorgio autem haec linea Parameter appel
latur. Ouam porro lineam brerius obtinere licet, quam hic cum
Apollonio ostendimus. Ftenim linea P.S existence ∞ , cum
B C sic ad C A, hoc est, b ad cn (icuF F. S, hoc CA, 
CH
Ab
inveniri poterit FN, quaerendo tantum ipsis B C, C A, _FS
quartam proportionalem. Quemadmodum ex octenlis est ma-
nifeltum.
∞ y9.