Here is the Wizard of Dreams’ three Crystal balls!!.
To reveal your “animal of destiny” you’ll have to use the crystal balls in a certain way. I will ask you to draw on them, make sure you use a ruler so you definitely get straight lines! You could use a compass to make copies of the circles. Put dots at the centres. On the first ball draw an arrow like one
of these.
The
only rules are that one corner must be on the
red dot in the middle of the crystal ball
and the other 3 points must touch the edge
of the crystal.
On the second ball draw a straight line that goes from one edge of the crystal to the other and goes through the red dot.
Now
put a dot on any point on the edge of the
crystal and join this point to the two ends
of the line to make a triangle.
On the
third crystal draw a four sided shape
(it can be a square,rectangle or any
crazy shape that has four sides ,as long
as the edges don’t cross each other),just
make sure each corner touches the edge
of the crystal.
Now we
will use these shape to work out your “animal of destiny”.
1) In the
first ball measure the angle at the tip of the
arrow inside the arrow, and measure the
angle
at the red dot outside of the arrow.
2) Add
the two angles together and divide by the
angle you measured at the tip. Write down
your answer and label it “a”.
3) In the
second ball look at the corner of the triangle
that is not touching the long edge through
the middle. Measure the angle at this
corner. Write it down and label it “b”.
4) In the
third ball pick any two opposite corners
of your shape. Measure the angle at
these two corners. Add the two angles together.
Write down the total and label it “c”.
5) Now
divide the number c by the number b and
add it to the number in a. [So do (c/b)+a].
Round it to the nearest whole number
(find the whole number that is closest
to it).
Now look for your number here and find your animal of destiny!!
1) Cat
2) Dog
3)
Moose
4)
Fish
5) Monkey
Now
would it surprise you if I told you that before
this was written the Wizard of Dreams
said they would predict what your animal
of destiny was? They told the animal to me
and asked me to write it in the book.
They said your animal of destiny would
be a monkey. Are they right?
SECRET
The
Wizard of Dreams is actually not as mystical
as you might think. They always knew
your animal would be a monkey. This is
because of the strange properties of circles.
Here are the facts that they used:
• In
the first crystal: If you draw a dart, the
angle at the centre is always twice the
angle at the tip. So if I asked you to measure
the angle at the tip, it would be “x”, the angle at the centre would be “2x” then adding these gives “x + 2x = 3x” then dividing by the angle at the tip (“x”) gives “3x/x”
= 3. It doesn’t matter what the angles are, we always get 3. In the
second crystal: The straight line
through the centre is called the “diameter”.
If we draw a triangle in a circle
where one edge is the diameter,
the
final point on the edge of the crystal will
always have an angle of 90 degrees.
• In
the third crystal: If you draw a 4 sided shape
in a circle, opposite angles always add up
to 180 degrees.
• So
the number from the third crystal (180)
divided by the number from the second
crystal (90) gives 2. Then we add
the number from the first crystal (3),
which always gives 5, which always leads
to the monkey! Sometimes when measuring
angles it is hard to measure the
angles exactly, which means that the
angles you get might be a little bit different
to the ones I said you should get.
This is why at the end I asked you to round
the number to the nearest whole number
(to get rid of any possible small
problems there were in measuring
the angles).
Name: M.K.C.Hashani
2011/2012
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