STEINER’S EXTENSION OF MALFATTl’S PROBLEM. 
277 
and the equation of the section in question becomes 
j; 3/ 2.. 
1 X u .. 
X a ^ (a 
X ^ ^ 0 
ii!* 3^ 33 JT 
^ ^ f 
(a jT c 
1 / (a jf c 
also the condition of contact with the corresponding section is 
-^1 X (Jj V .. 
=v^ 
1 X /A j'.. 
1 X' i/..] 
X' ^ ^ 0 
X a <a 
X' a 3^ ia 
1 B jr 
s # 
1 35 # 
0 f € 
y (g 4f C 
I/' (a jT c 
In particular the equation of the sections which touches all the sections x= 0 , 3 /= 0 , 
z=0 is 
ya 
X 
y 
2 . . 
+ K2 
s/—p\/ — 
i\/a \/33\/ c . . 
a 
0 
v/a 
a 
1 
0 
n/33 
f 
\/35 
1 
33 
f 
s/0 
6 
c 
./c 
(a 
f 
C 
Again, the equations of the section touching 3/=0, z=0, ... and the section touching 
T=0, 2 = 0, ... are 
X y 
^ la 1 
x/B 1 } 33 
j\/C 6 f 
2 . . 
d-K^ \/ — p\/ — 
1 X\/33\/ 0 • .\t 
0 
X a <a 
s 
v/i i? £ jr 
0 
\/c <a 4 f c 
a 
y 
33 
2 . . 
+ K2 
\/—ps/ — 
ix/a 
x/C..l 
0 
f 
a 
Si 
(g 
Si 
f 
0 
s/0 
(a 
jr 
0 
and the condition of contact of these two sections is 
v/a a n 0 
^ Si 33 
\/c 6 jr c 
= x/- 
1 V^n/C 
a Si a 
\/^ 33 # 
\/C 6 JT C 
_i\/a 
v/a a 1 (a 
^ B # 
\/C (8 # C 
