The Math Forum

Search All of the Math Forum:

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

Math Forum » Discussions » Math Topics » geometry.research

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

Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
shyamal kumar das

Posts: 54
From: kolkata west bengal india
Registered: 7/21/10
Posted: Nov 29, 2013 10:42 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply
doc1.docx (207.1 K)

From: Shyamal Kumar Das.
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,
88B G.T. Road. Bhadrakali. Hoogly. West Bengal. INDIA. PIN: 712232

Message was edited by: shyamal kumar das

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.