mersenneforum.org  

Go Back   mersenneforum.org > Fun Stuff > Puzzles

Reply
 
Thread Tools
Old 2006-10-04, 04:45   #34
mfgoode
Bronze Medalist
 
mfgoode's Avatar
 
Jan 2004
Mumbai,India

40048 Posts
Cool solution

Quote:
Originally Posted by Wacky View Post
That is left as an exercise for the pupil .... :)

Actually, it is rather easy.
First construct the diameter. Then divide it into 8 equal parts. That gives you all of the centers of the various circular segments.

what about the two different radii? And the proof that it is correct apart from the visual effects?

Hippocrates' solution is far superior than any others given so far.

I'm wondering why there is no comment and why has it not been accepted by the community. Has it been understood at all?

I have a rigorous proof which is elegant and without doubt.

Any takers?

Mally
mfgoode is offline   Reply With Quote
Old 2006-10-04, 13:52   #35
Uncwilly
6809 > 6502
 
Uncwilly's Avatar
 
"""""""""""""""""""
Aug 2003
101×103 Posts

100010000011112 Posts
Default

Quote:
Originally Posted by mfgoode View Post
And the proof that it is correct apart from the visual effects?

I'm wondering why there is no comment and why has it not been accepted by the community. Has it been understood at all?

I have a rigorous proof which is elegant and without doubt.
Please provide a rough illustration of your concept.

As for proving the one that I submitted, I think that it should not be too hard to do. By starting on the left side, assuming that the original circle (disk for the nit picky) has a diameter of 4, calculating the size of the smallest half circle (diameter of 1) on the upper side of the original diameter is easy. Set this as z. Calculate the area of the next half circle (diameter 2) call it y' , subtract z from this and call it y. Repeat for the next (dia. 3) x', subtract y' and get x. Repeat for the original (dia. 4) w', subtract x' to get w.

Add w to z, and y to x. If they are the same, viola.
Uncwilly is online now   Reply With Quote
Old 2006-11-15, 01:07   #36
4 lil pigs mom
 
4 lil pigs mom's Avatar
 
Nov 2006

3 Posts
Default How do you do it with 5 lines?

Quote:
Originally Posted by R.D. Silverman View Post
How does one construct this with ruler and compass?

As I said earlier, 5 pieces is easier.
My son has to divide a circle into 16 pieces with only 5 lines and his whole class is stumped but the teachcher won't help! You'd have to know her to understand. Can you help us please?????


4 lil pigs mom is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Stockfish / Lutefisk game, move 14 poll. Hungry for fish and black pieces. MooMoo2 Other Chess Games 0 2016-11-26 06:52
20 Easy Pieces - The Remaining 29-bit Jobs swellman XYYXF Project 5 2016-02-27 22:35
How to properly put a MacBook to Rust in Pieces ewmayer Hardware 25 2012-08-04 05:00
5 easy pieces for davieddy NBtarheel_33 PrimeNet 28 2012-07-28 15:26
How to divide a circle into 16 pieces with only 5 lines???? 4 lil pigs mom Homework Help 52 2006-12-05 08:41

All times are UTC. The time now is 03:27.

Fri Oct 23 03:27:04 UTC 2020 up 43 days, 38 mins, 0 users, load averages: 1.88, 1.76, 1.64

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.