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941
Herbert
carried
a
plumb-line
which
Harding
had
given
him
,
that
is
to
say
,
a
simple
stone
fastened
to
the
end
of
a
flexible
fiber
.
Having
reached
a
spot
about
twenty
feet
from
the
edge
of
the
beach
,
and
nearly
five
hundred
feet
from
the
cliff
,
which
rose
perpendicularly
,
Harding
thrust
the
pole
two
feet
into
the
sand
,
and
wedging
it
up
carefully
,
he
managed
,
by
means
of
the
plumb-line
,
to
erect
it
perpendicularly
with
the
plane
of
the
horizon
.
942
That
done
,
he
retired
the
necessary
distance
,
when
,
lying
on
the
sand
,
his
eye
glanced
at
the
same
time
at
the
top
of
the
pole
and
the
crest
of
the
cliff
.
He
carefully
marked
the
place
with
a
little
stick
.
943
Then
addressing
Herbert
--
"
Do
you
know
the
first
principles
of
geometry
?
"
he
asked
.
Отключить рекламу
944
"
Slightly
,
captain
,
"
replied
Herbert
,
who
did
not
wish
to
put
himself
forward
.
945
"
You
remember
what
are
the
properties
of
two
similar
triangles
?
"
946
"
Yes
,
"
replied
Herbert
;
"
their
homologous
sides
are
proportional
.
"
947
"
Well
,
my
boy
,
I
have
just
constructed
two
similar
right-angled
triangles
;
the
first
,
the
smallest
,
has
for
its
sides
the
perpendicular
pole
,
the
distance
which
separates
the
little
stick
from
the
foot
of
the
pole
and
my
visual
ray
for
hypothenuse
;
the
second
has
for
its
sides
the
perpendicular
cliff
,
the
height
of
which
we
wish
to
measure
,
the
distance
which
separates
the
little
stick
from
the
bottom
of
the
cliff
,
and
my
visual
ray
also
forms
its
hypothenuse
,
which
proves
to
be
prolongation
of
that
of
the
first
triangle
.
"
Отключить рекламу
948
"
Ah
,
captain
,
I
understand
!
"
cried
Herbert
.
949
"
As
the
distance
from
the
stick
to
the
pole
is
to
the
distance
from
the
stick
to
the
base
of
the
cliff
,
so
is
the
height
of
the
pole
to
the
height
of
the
cliff
.
"
950
"
Just
so
,
Herbert
,
"
replied
the
engineer
;
"
and
when
we
have
measured
the
two
first
distances
,
knowing
the
height
of
the
pole
,
we
shall
only
have
a
sum
in
proportion
to
do
,
which
will
give
us
the
height
of
the
cliff
,
and
will
save
us
the
trouble
of
measuring
it
directly
.
"