Squaring the circle
Do you know that it is impossible to square the circle, that is, it is impossible to construct, using compass and straightedge alone, a square whose area is equal to the area of a given circle.
And the reason behind it is that.. π(PI) is transcendental. This means that there is no polynomial with rational coefficients of which π(PI) is a root. An important consequence of the transcendence of π(PI) is the fact that it is not constructible. Because the coordinates of all points that can be constructed with compass and straightedge are constructible numbers, it is impossible to square the circle, since π is the ratio of the circumference of the circle to the diameter.
And the reason why I am suddenly interest in Pi is because I was born on March 14th. ( can you see the relationship). And the same day Albert Einstein was born exactly 99 years ago.. Thus my interest. :)
posted by Sathish @ 12:21 PM
2 comments
2 Comments:
Basically it is not possible to construct a circle with a given area(a number). Correctaa?? Illa kulambittaenaa...
Sari, have you heard of Kasewa's explanation of how to calculate PI???
1. Draw a circle on a wooden board with any radius.
2. Construct a square circumscribing the circle.
3. Take a gun, shoot at the wooden board for a large number of times.
4. The ratio of number of bullets inside the square and the number of bullets inside the circle is 4/pi.
Ur bday falling on same day as that of Einstein’s reminds of your previous blog "synchronocity and antisynchonocity"... antisynchronocity (opposite things happening together) in this case...... you and Einstein (exactly opposite) having same DOB....just joking ;)
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