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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 131, page id 175905688X:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=153
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
# Lines: 70 recognised, mean confidence 0.76
# 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.

ne eri
subA
en c0
craesu
40. 1b
ACcul
lea 
arietare
PUnamI
nemilli
Oluimu
eminiu
AE COMP
One, d
C, qual
illela AB
OB
1Ea
ces 
ninve
11ab
NICM
 OL A B, R E V F S0
3F
tertur, ac vero cum ad splam retertur, quodcunc duxe illae quan-
cicates diverla intem ntur aequales seu in unam coalelcere.
Ouod Eic Colsiparando aequationem inventam cum requatione
yy = = Cy + ee ∞0 aliare ex hac compolica. Ejus rCI PFOPONd-
mus sequens exemplum.
Fstolinea recta A N, Curra au
tem ANI, cujus vertex punctum A,
cujusquehaec lic proprietas: ut, a(-
sumpro in ca quolibet puncto, ut NI.
a quo ad rectam A N ducatuE Per=
pendicularis MIL; recta BC, ad ar-
BIEEILIMI SUIPEa, Una CUI A L, Sit ad
AL, Sicur linca A L ad L MI. OpOr-
tet recta lInCAMI INVeNILC PMI,
tangentem hanc curram AMI in
puncto M. Supponatur linca N M
perpendicularis ad FAMSEHECI P M
in punctoMI, _ B C ∞ b, AL ∞ y3
de LM ∞X. IIinc cum b. L Y (IC 2dy,
ury adx, hec aequatio calis: bx F y x ∞yy, ac proinde n ∞ p Fy
Tam vero, pro co, quod in hoC exePIO IIAGINAUE CUEraI A MI
cansi a circulo cujus radius M N, Parius estimaginari, quod ipla
tansatur a recta linea M P: quandoquidem hoc modo superAuam
mulciplicationem eritamus. Ouocirca Catuendo AP ∞ V, 8
PKas esse parallelam ip(i L M, acque ab AK, quae parallela eA
ipsi PM, secari in K: exic uE vad 5, SCy = v ad L. M Leu  5 = ∞5
YSum V5
0 vel yy ∞ b5 - 05
2 5 In y 
b05
B y D
v. comparandum cum
yy ~2C7 - e2. Vnde primmo inrenimus 35 = 25 ∞ 2 e, vel
∞
2 ex
0- 5
B- v  Deinde 625 ∞ e=, velsD BV fc, aC per conse-
quens
Eer
e22
C2 V
v + C b0. = cz HIOc est, AP ∞ v ∞ , B L Seu
b- f y  e P L. ∞y -- V ∞
r + y:
b Fy. Caererum quoniam L. M media
el