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# Title: LBr. 951 · Varignon
# Folio 23v, page id DE-611-HS-867792:0046
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867792&page=46
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867792/jpgs/default/00000046.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 113 lines, status machine
# Lines: 113 recognised, mean confidence 0.75
# 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.

y- Cay = naxyy +axy F 4aa XX = 0
+ 16a a yy
= 64c3 X
ou bien 4aa X X = 64 cX + 1(. loaa garib aay y)
raus e
-(9 L yy
2a X = 3yy 12ay + 16aa + s(3yy = 12ay + 16aa + yy - 4ay, 3yy -1ay+ 164 a = y7 + 4ay) d s   h
seu Lax - 3gy + rray - 16aa = ( (2 . . . - y () (yy - 4ay)
24X = 39y = ray r16aa + 1(4yy - 16ay + 16aa, 29y + 8ay + 16 aa)
d dhe- et  1h
2ax = 3yy - 12ai + 16aa = 2sy - 2a) s yy + 8ay + 16aa) Si y = ra firt ia - noa. 24 aa +16, - 4 a2 irgo X- 2a-y
1Ciau y = 2a firret
radx = 6ydy - 12adqu +2dy Y(29y + 5ay+ 162a) +ly (y- 2a )y B + 8 at) : (27y + 8ay fisaa L.)
seu adx: dus = 6y - 12a + 299 + 8a9 + 16 aa + 8yy - 3 2aa Ryy + 8ay tibaae
adx- ads rtiotio
ogy 8ay- 16aa frgyr baytihaa S. jam eset r22, fieret C eo casu
9y + 4ay + 8aa
20b 16 -  (8 +1616 a seu 4 = 4 110
seu adx = by- 12a + qu + 4ay + 8aa
ly
a  - (1a - 1a)  4 + 8+8
Redinchoemos
. +aa XX   H6ag tax
(2) (2 aX - (397 -12ay +162a))
+ 12 ay
L3yy
tcompe soritbur lacoirtatnia 5. (. C C.C. e. CaC
do
Fgyy- 12ay+ 164a
+3yy = 12a9 + ibaa, in
-yy +4ay
+ yy- +ay c
Pagus - 16 ag +ibaa in Byy - 8agt.6aa
D, yy-4ay+ 4aa in, gy -4ay + 8aa
rasu -8ay
Fnaus +164ayy
-44 ay - + aayys
Vy- 4ay + 4au)
+4ay  16 aayy + 164y
(99- 4a9 + 4aa
(3) _B yy - 1ray + 16aa = L
+ 9y - 72 ay - 9baa yy -3844
+aaXX = 64aX + y = 0 Undeordinando ad extractionem
+48 aay
412ayyX + iaagus
Lran
(1baa 1 -
2aX = L nay
U3yy.
+ 12ay 4a7
= 39y 4ax
S+(2) svay
(ibaa) + (2 G. 12a9
(+39y
+3yyS
S+3y -1aytibaa. +3yy - 12ay +1
- 1) yy-+ay = + yy -4ay
sua)
IBGy)
+ 144 aayus
y +8ay- 16aayy
(+V- 84y + 4aa yy. 48 a)  + 32 a f yy- 4ay 3
yy 4ay + 4aa
seu 2aX = 3,
78
= 2y-4a, Siyy - 8ay +16aa
1- gy +4a9
a
= 1, ayys -16ay tibaa, u 243 8) aa
Aa aXX - 4 aX39y+ 4 aX 12ay -4aX 16aa + (9 - Cyy1ravrt 6yy 16aa
+144aayd -24 ay16a a = 16. 16c
aqu. (4 yy2yy= 4yy 8ay F 4yyi6aa ( fayrys tia y gay (1bayi6 a a fe18 a a 2yyf tbaa
6.
et  q. redit 4a a XX - 64+ aX + y  = 0
+ 48 aayX - 8ay
= 12 ay7X + 16 a4yy
Ex aequ. rax = 3yy = 12ay + 6aa + 2 (y - 2a) Prgys 1a yt baa 3 2+3 2 cb4
posito g- 2a fit rax = 12aa - 24ua r Haa = 4aa et X = 24 - y
4y-8a. 3(7- 2a)
Ergo eo casu quo  _ y = 2a fiet dx = dy 13 - 10 + 16 seu d = dx: dy = 2 12 = x: t = 2a: +
2a dx = 6ydy - 12a dy + 2dy 12yy - 8ay + 6aa F ( ryy- gay+ baa
eritque t=  a: s
esses
tiay
Lhyy)
+60a  tag
dx: dy = 2110
=1249y X
yy vay + 1649
yy, yy-3ay + ca
y - 4 a yy 83
3
1
seu +8Y -64a) 52 da gy -16. 4). 
seu 8, y 2- 8ay + aayy - 48 ay + 3r a
yy - 8 a+ + 1baa
y-
7918a)  aa
uBay uagus
yrua
7) (2p 166 ai bcap
yy 8aytloaa
gy 2s lac
8a
yy +8ay
y - 9 ay + 16aayus
ng (e
d ih = dh 
d hi - . d. ti-
=2 dh - 2 4b. 1
y -ay 18aayy
+ 16aayy -3E ay + 164
+aaa lys 16a y+