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The numbers were ...
3141, 443644, 89651 and
3227
With these four numbers, one is pi, I
was having funny time with my calculator day after day, as
thinking of circle, sphere, N-dimensional spheres ... If they were a
that, those or this one, that one..., how it could be? or what it would
be?
Lately, I came across an idea of what
if it were an area for a circle? The formula is of course [ pi
x radius^2 ]. so, I took these square roots.
sqrt(443644) = 666.06606...
sqrt(89651) = 299.41776...
sqrt(3227) = 56.80668...
These are lengths
(radiuses) according to the formula (if they were circles). The concept
here is length with no unit, but in mathematics, it treats numbers and
concepts themselves and sometimes does not consider their units.
Primarily, they were lengths but re-concept secondarily,
how about when considered all sorts of concepts. My English is
something incorrect. Forgive me..
Here, I felt the number 56.80668...
as an angle, which is 1 radian,
whose exact value measured in degree is 57.295... (180deg./pi).
Radian is a unit showing angles and pi radian shows a
semicircular travel. The rest of two seemed sides for triangle. We can
determine a shape of triangle with
these three conditions.
length1 = 666.06606...
length2 = 299.41776...
angle A = 56.80668...
Here is two type of triangles draw
able from these values, but this time I mention the half. There are
several ways getting all of the values for triangle, they are
mathematical, geometrical, or by mold-lofting. I apply 'addition
theorem' this time, which is taught in schools, because the rest of the
side is easily found.
calculation
X is length3
X^2 = length1^2 + length2^2 - 2*length1*length2*cos(angle
A)
//////// I omit this version here.
/////////////////////////////////////////////////////
length1^2 = length2^2 + X^2 - 2*length2*X*cos(angle
A)
////////////////////////////////////////////////////////////////////////////////////////////////////////
a. If values shown in step 1 are used, the result for
X is 561.18686...
b. If approximate values are used, like as 666, 300,
180/pi, it would be 563.60553...
Both values are almost pi x 180.
Reference to a.
561.18686.. /pi = 178.63132...
178.63132... /180 = 99.239... %
This is almost 180.
What is more,
1 rad. = 180 /pi = 57.29577...
deg.
57.29577... x 99.239...% = 56.86011...
A ratio to the value obtained from step 1 ,which is
the angle A, ratio = 56.80668... / 56.86011... = 99.906... %
What do you feel?
Reference to b.
563.60553... /pi = 179.401... 179.401... / 180 = 99.667... %
Biased story? might be.
Hiro
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