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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 41, page id 175905688X:0063
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=63
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine
# Lines: 64 recognised, mean confidence 0.80
# 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.

dert
ccaces
1
RCXrC
HC
ccent
aittiei
a ius
cruncus
lincas,
puncio
na hoci
erali.
cia scire
nea cu
aeque Der
cectam
eC, la
nipia al
_ ellent.
s
a
CL
itionc
DCV
que qua
eriat
L ED E R S E C U N D U S.
4F
lum rectangulum PM C invenio ss, quod est quadea-
rum basis, aequale X x L ~~-  2y + y y, quadratis
duorum lacerum, hoc est, invenio x D V 55 - v∞
2 Vy - 9y, aUC y ∞ ~ = V. 55 = X X. Cujus aequationis
Opc autero ex xquatione altera, (quae mihui relationem
explicat, quam puncta currae C P habent ad puncta re
etx (O) alccrutram e duabus quanticatibus indeter-
minatis x vel r. Ouod quidem tacile eAt, li ubigue pro
X POMAU V SS= ~~= ~y - yg, e quadratum LIII-
indeterminata X; vel y.
JuS SUIMMX PEO XX,
ec ejus Cubum PFOKS,
e ita porro; A fuerie
x, quam collerere
limus; aut si fueriey,
ponendo ejus loco
2  V 55 m X X, e
quadratum, cubum-
ve, Cc. hujus lum-
MX, LOCOVY, aUF y3,
ec. Ita uc inde sem-
Per restet aequatio,
in qua non nili una
habeatUE guanTItaS
Ouemadmodum si C F cA EIlipsIS, in qua MI A L
sic segmentum diametri ad quam C V sic ordinatim Exemplum
hujus Ope-
adplicata, quodque pro latere recto habeat r; pro rationis in
tranverlo autem q: Hec per r3rium Theorema mi li- Ellipsi.
bri Conicorum Apollonii: x X ∞ry - - yy. Vndecol.
lendoxx, restabits 5- 00 12 2g - yy ∞ry - 173, vel
+ quy
quy +qu2 -955
xquale nihilo.
Praectat