# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 366, page id 175906937X:0390
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=390
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000390.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.78
# 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.

DF GONCLNHAHDES
L HI F O R E M A.
Si  Geaucara CCuli ABC sumatur arcus quilibet
BD minor quam 45 gr. Cujus duplus sic BP, corumque
cangentes BF, B Cr: eric ut quadeatum radii AB minus
Quadrato BFad duplum quadrati AB, ita BF ad BC7.
Series Analyseos.
Fsto AB ∞ a
BF ∞ X
BC ∞ y eritque F C ∞] - 1
de AG ∞Z.
Ouoniam itaque arcus B F ipsIIS
BD duplus ponitur, ac proinde an-
sulus B AC)duplus ansuli B AF: erit
angulus ad A in triangulo ABC re-
cta A F bitariam sectus.
CInde a Crie
UE FO ad BF, Ita AC ad AB
)- X X
Ideoque DBF, AC aqualCD OF G, AB
dir. urrinque perx
EIE
NZ ∞ ay = a x.
2 ∞
4y = a X
Flinc duetâ utraque parte in se quadrate.
exit ZZ ∞ a apy
COLL. dETInQ; a a X X
lyy
dir. utrinque per)
acta. VErInqUE 2 a a
FoIl. utringue X
CIr. uerinque Per a a - X X
add.
SHAB. ad
EaaXy. + aax EDBO. yy CAO, per 17
X X
∞
aa Fy7 3
a
primi.
=2 a a X ) + A a X X D a a X X + X X y y
a a y y = Z a a X y ∞ X X y y
a a Y = 2 a a X ∞ X X Y
a aY ∞ 2 a a X L X X V
aa Y = X X Y ∞ 2 a a X
Et y ∞. 2a a X
ae  X X
HAB- EBF 2IIAB BF BC
Hloc elt, eritut da = x N ad 2 a a, ita x ad y. CIt proponebatur.
aP et 3)entr
b ct 10
sedett.
36C
muLE. UErinG; PCF XX