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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 195, page id 175906937X:0219
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=219
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.89
# 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.

que
E ID. I. C A F. IL.
A E DL E M A VIII
Propositio 9.
Ouxlibet concinsences ab angulo Flyperbolx A.
symptoris comprehenso aequalia abscindune rriansula,
e rectangula sub corundem triangulorum laceribus
comprehenla inricem quoque aqualia lunE; aC PEX-
terea majora corundem lacera a concingencibus, ip(X-
que bases seu contingentes Asympeoris cerminata, in
ucuo occurtu, neC NOM iplarUI pALEeS CurVam CON-
cingences inces occurlum de ACyMPEOTOSinTexj CCX, iM,
punctis conractus, in cade LaTIONCSCCAREUT.
FIrperbolam CF, cujus ASymPEOTi AG, AR, rectae CFI.
TK utrinque Asympcoris terminata, ac sibi muruo in R OCCUF-
rences, contingant in punctis C de F: dicocam rectanoula quam
crianeuta C AFI, IA K aequalia esse; ac praecerea esse O I ad IA,
SICUEKHI ad HIA; icemque O R ad R HI, SICUEK R ad R I; nec
nOn GC ad CR, SICUL R F ad FR.
Ductis enim a punctis contactus C _ F rectis C B, F. D AIyn-
peororum alcerueri, uc A FI, parallelis, cum sicue CC adG HI,
ita CB adO A, e B C ad AFI =; sicque OHLipSiuSOC dupla 2: per + sexti
erie quoque tam C A ? per 6hu
ipsius C B quam A FF 145.
iptius B C dupla, id -
eoque 3 rectanguluM 3 per 20
C AFI rectanguli O BC SextI.
sive ABC quadruplum.
Eodem modo rectansu-
lum L A K rectanguli
A D E quadruplum o-
Sendetur. Tlinc cum X -
qualia Ime rectangula
rum glladrup la nimirum rC a per 3 Bu
jus.
ABCS ADP. +, erunE quds
Canga AK agcaa. dod esprimum.
nde cum 5 (ICuEO A ad AH, Aa L A ad A FI, criansula qua 5 per 16
que sexti