CTK Exchange
Front Page
Movie shortcuts
Personal info
Reciprocal links
Terms of use
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
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 |Store| Search CTK Buying a book is a commitment to learning Table of content Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

CTK Exchange

Subject: "Area"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange College math Topic #466
Reading Topic #466
Member since Aug-7-04
Aug-07-04, 08:06 PM (EST)
Click to EMail ricardo Click to send private message to ricardo Click to view user profileClick to add this user to your buddy list  
The area below the sine function from 0 to Pi/2 is 1 an exact number so I thought it could have an elementary demonstration(not using calculus). I would love a simple geometric proof, perhaps thinking on the harmonic movement could give some clue?

  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Nov-13-04, 03:45 PM (EST)
1. "RE: Area"
In response to message #0
   Dear Friend,
I think that it is impossible, because we cannot transform this curved-side triangle (line y=0; line x=pi/2; f(x)=sin(x))
to a normal triangle (normal, I mean, a triangle that we can measure its area)
We can't even find (by a ruler & a compass) the place of pi/2

  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.

|Front page| |Contents|

Copyright © 1996-2018 Alexander Bogomolny