My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
February 23rd, 2011, 04:45 AM   #1
Member
 
Joined: Nov 2010

Posts: 53
Thanks: 0

Could anyone help me with this figure?

I am working with one of Hippocrats famous moons.
There is one part of the geometry I don`t get, see figure!

I know that but how de we know this?
(a_1 = Area defined by AC and the circle
a_2 = Area defined by BC and the circle
A = Area defined by the line AB and a circle with radius |AD| and center in D)
Attached Files
File Type: pdf Hippocrate`s moon.pdf (111.0 KB, 7 views)
studentx is offline  
 
February 23rd, 2011, 05:31 AM   #2
Senior Member
 
Joined: Feb 2009
From: Adelaide, Australia

Posts: 1,519
Thanks: 3

Re: Could anyone help me with this figure?

[attachment=0:3rdvgl6b]lunes.PNG[/attachment:3rdvgl6b]

The radius DB is times the length of the radius OB. Therefore the circle centred at D has twice the area as the circle centred at O.

But if you tilt the diagram 45, you can see that circular segment labelled A is similar to the segments a1 and a2, so its proportions must vary similarly. Thus A must also have twice the area as either of a1 or a2.
Attached Images
File Type: png lunes.PNG (19.4 KB, 115 views)
aswoods is offline  
February 23rd, 2011, 07:23 AM   #3
Member
 
Joined: Nov 2010

Posts: 53
Thanks: 0

Re: Could anyone help me with this figure?

Ah, I see. Thank you.
studentx is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
figure



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Figure out an equation Mkkl Algebra 2 July 8th, 2012 12:23 PM
help!! cant figure it out...! himybrother Real Analysis 2 October 19th, 2009 04:24 PM
How To Figure Gross With a Certain Net Figure Al_Ch Elementary Math 2 May 21st, 2009 05:53 PM
I cannot figure this out at all? flyaway Algebra 6 March 10th, 2009 08:42 PM
Can You Figure This Out? paulystylez Algebra 6 September 17th, 2007 07:10 AM





Copyright © 2019 My Math Forum. All rights reserved.