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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 315v, page id 00068194:0630
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lolo ordinitae
et
AB7b.
CD7X
ACY
EFpXdi AEp ethax FX
Eyo BE a braX
addantur BEb  2b S rax K +2aX - X
EF  se  o dX id.
fier 1 4 2b fran +2aX (= X + X) +2dX + d
H Z vadrato a BF
sojamat alius arcujus, s Ntameter HRre bu radus C et BGe f e
hovum auferatur inde
BG vel L , Fr Freg - x - 2gx -g - f. crdius quadrato  nt:
 Frex +reg -X- 2gr 9 (FX  2dx +
Horenavem. Hinc  daci
2b Trax.  Y + 2f-X  ex +reg
b Srax. X +2f f.  ali +hq et quadrando.
Abrak 4 bX + asihus f Ax- LX -hg X + rahgs X
+4) 20. = 4 f1.
+ afrG
-gr. Lrag..
-2a. + 2ah.
et ordenando: sed compendiosius formulam C.
ob literarum multitudinem sit enuntimus: divis
fita eumq primum dividemus per b. fei:
4a)
qb
LX + h du Y Trax.x + 2f S.X xh X +hig
2a.5+
es rb 2+,
+ 2b
et bandiglodipe aquoicalent. n X + nt  sia +. PL. X +
m X. +
1b
L. 
in B SraX - X 1+8 S-X + h X + (qb Ubiliberae omnes sun
Nimirum. h + m +2a
fn +9. hph.
Ergo
et g7
g. gu
compendii causa ponatur 2e- 2g⊓ h. et reg- g ponatuo
hg +9.
item f +b7
+g
arbitrariae censeri possunt.
excepta 9. ete
ebn
hg. +g5 4b sive +2mgs + rag +9,
9b +f Vp + 2b n. sive fp + 2b+ b - 9b
+2m.. + Eam
tmu
 aram +m + qb. sive g + a +m 
Bsa
 tram +46 sive g p -a fm + sae +ab
Inde patet ipsis b. et a artitarias manere
Jem ergo formulam brachylogicam vidinemus: fiet muplic quadrando utrobius
ev l
qu
po
et ordinando:   X + 2mnX + n
+1. 22a
fiei m 7 sib -b- 
1089
onb - H
-2a
a Y2. 9bd t 2agt X
a i trat.
conferatur formitae simili generali:
7X2) 4SX + +b p 28X X k ovB
n g
qua aequatione reducta habebitur ipsius n valer quado Egevadraticus
e andu de qu snd
a
s
nballe
12
m X + 2mnX +nH vaXL X =d X + G RX + E d +  +XT -h X bX ra bl
8.
1b
ur , BL GTAD Ex
1B. uisum D evanescere
+ 2b Sca +.   ca x + (2dX +d2)BF. Et ordinando:et pus A
Ot X + tigs
2a.
+ p2
1
adhuber
aosium inoR
Bagetrum poterat ordinatu
et ollqua quae vntitir u nire a
fiet rex H reg (X
29X -9
+
it
20 X + reg
..
hrgo
+4a.
+ s1
+ h X + tg X
=rha, . +hqu
+2h9
+ chqu
=rahius
Munm satus d.
2