Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: TRISECTION OF ANY ANGLE
Replies: 0

 shyamal kumar das Posts: 54 From: kolkata west bengal india Registered: 7/21/10
TRISECTION OF ANY ANGLE
Posted: Nov 29, 2013 10:42 AM
 doc1.docx (207.1 K)

TRISECTION OF ANY ANGLE
From: Shyamal Kumar Das. E-mailID:das.shyamal1c@gmail.com
To: All Mathematicians

Dear Sir(s),
Hope, you will agree and appreciate the fact that theory differs from practice in many occasions. For example, while 3X is divisible by 3, 3X + 1 is not. But any length of any magnitude can be trisected by geometrical method.
Similarly, trisection of any angle is not possible theoretically, but,in practice, not only trisection , but, N-section of any angle is possible by my method with a ruler and a compass.
The basic of my method is: at first, we take 1/2 or 1/4th or 1/8th or1/16th part of the given angle and trisect the same by my method. Each trisected part of the angle is such that the arc distance and the chord distance are
almost equal. Please note that when the angle subtended by the arc at the center tends to zero, the difference between the arc distance and the chord distance, also, tends to zero.
Now,after the trisection of the angle as mentioned in my attached article, increase the same angle 2, 4, 8 or 16 times as the case may be , to get the required trisection of the given angle.
Before I quit, I would request you not to be prejudice and not to reject or discard me without proper reasoning and justification. If you can accept and approve the geometrical construction of 60 degree which is actually
1 radian, why a micro difference (not even the diameter of the tip of a fine needle)between arc distance and chord distance is not be acceptable? Thanks.
Shyamal Kumar Das. 25th November, 2013
Address : Flat no: 1C/15, Uttarpara Housing Estate,