theoretical part of these sciences.
Here
are
the
reasons
that have
induced
me
to this plan. They
are,
most of
all,
my
individual
inclination for abstract and mathematical
thinking,
lack of
imagination
and of
practical
sense. My
desires have
also
brought forth
the
same
goal
led
me
to the
same
profession
decision.
This
is quite natural;
everybody
likes to do that for which
he
has
a
talent.
Besides,
I
am
also
much
attracted by
a
certain
independence
offered
by
the scientific
profession.
23.
MATURA
EXAMINATION
(C) GEOMETRY
[19 September
1896, 711
A.M.]
Albert Einstein
PROBLEM
1
Since the sides of
a
triangle
are
inversely proportional
to the
corresponding heights,
we
have
1
1
a
~
Ff *
~ 2
*
b
=
FT
K
=
"5
K
1 1
c
" F7
K

1 K
Since
only
the ratios of the sides
are
required
for the
determination of the
angles,
we
pick the most useful
one
of the
similar
triangles,
with sides 6, 4, and 3.
a2
+
b2
+
c2
36
+
16
+
9
COS *
2
Be 24
11
cos
^ 24
sin (a

90)
=
0.4583
lg sin (a

90)
=
9.66115

10
a

90
=
27° 16
1
2211
COS
P

~
2ac+
^

H
=
°8055
log
cos
ß
=
9.9061

10
ß
=
36° 201
a2
+
b2

c2
43
7
2ah
48
16