CTK Exchange
CTK Wiki Math
Front Page
Movie shortcuts
Personal info
Awards
Terms of use
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Recommend this site

Manifesto: what CTK is about Search CTK Buying a book is a commitment to learning Table of content Products to download and subscription Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

CTK Exchange

Subject: "error in 'Ceva's Theorem: A Matter of Appreciation'"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange Thoughts and Suggestions Topic #94
Reading Topic #94
Wayne
guest
Oct-03-10, 12:15 PM (EST)
 
"error in 'Ceva's Theorem: A Matter of Appreciation'"
 
   Stumbled across this site and hit'some semi-random pages with great interest. However, I found what I think is an error in "Ceva's Theorem: A Matter of Appreciation".

In the section on Fibonacci Bamboozlement, the explanation of the application of Pick's Theorem to the parallelogram in the Java applet is incorrect. It'states, "the area of the parallelogram is exactly 1, for it contains no grid points in its interior, nor on its boundary."

If the parallelogram contains no grid points on its interior and none on its boundary, then Pick's theorem would seem to indicate that the area is 0 + 0/2 - 1 = -1.

I think an accurate Description is that the parallelogram has 4 boundary points on the lattice (lower left, upper right and two near the middle) and no interior points on the lattice, so Pick's theorem says the area is
0 + 4/2 - 1 = 1 (as expected)


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
alexbadmin
Charter Member
2631 posts
Oct-03-10, 12:20 PM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
1. "RE: error in 'Ceva's Theorem: A Matter of Appreciation'"
In response to message #0
 
   Thank you very much. I have inserted "except for the four vertices" after "nor on its boundary".

I very much appreciate your taking the time to bring this up.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.

Copyright © 1996-2018 Alexander Bogomolny

Search:
Keywords:

Google
Web CTK