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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

ganesh
2005-07-08 20:29:46

My favorite book is
'The Man Who Loved Only numbers'
by Paul Hoffman

mathsyperson
2005-07-08 01:11:19

I concur. Very good for confusing people though. Well done!

Roraborealis
2005-07-08 00:54:30

Zach, you aren't banned!!!!!

Zach
2005-07-07 22:42:47

Terry Pratchett'll take over the world!

MathsIsFun
2005-07-07 20:31:56

Wow. I Love "Mort" too.

AND SO DO I

Eeek!

im really bored
2005-07-07 08:23:27

I like "False memorys" by Dean R. Kuntz

Zach
2005-07-07 07:43:25

My favourite book is called "Mort" by Terry Pratchett.

Roraborealis
2005-07-07 01:14:11

My favourite book is called 'The seer and the Sword' by Victoria Hanley.

Polly
2005-07-07 00:49:41

mathsyperson wrote:

Here's something weird that I found out whilst doing some coursework: if one of the sides is one unit less than the hypotenuse, the other side has a length equal to the square root of the other two sides' sum.

e.g. 3+4=5 --> 3=4+5

hi

do u like reading my fav boo is harry potter

Polly
2005-07-07 00:48:37

Hi my mate jaz1 is making her self sick i dont know what 2 do pleese help me im worried.

ganesh
2005-07-06 19:11:25

Yes, 2(n)+1 and 2(2n+1)+1 are both odd numbers!

MathsIsFun
2005-07-06 17:51:32

Yes, because they are on the growing sides of a square:

The difference between 3 and 4 is the X's below:

OOOX
OOOX
OOOX
XXXX

So, how many X's do we need to add to grow the square from 3x3 to 4x4? Answer: 3+3+1

Likewise, to go from a 4x4 to 5x5 needs:

OOOOX
OOOOX
OOOOX
OOOOX
XXXXX

How many X's? 4+4+1

Hehe

ganesh
2005-07-06 15:23:50

The three values of the sides of a right angled triangle are also called a Pythagorean Triple.
A Pythagorean triple is a set of three whole numbers , such that one number squared added to another number squared equals the third number squared. Euclid could prove that there are an infinite number of such Pythagorean triples.

Euclid's proof begins with the observation that the difference between successive square numbers is always an odd number.
4 - 1 = 3,  9 - 4 = 5,  16 - 9 = 7, 25 - 16 = 9, 36 - 25 = 11, 49 - 36 = 13 etc.

MathsIsFun
2005-07-05 08:49:54

Zach and ganesh are right, of course, the Pythagoras Theorem is just:

For a Right-Angled Triangle, if you take the length of the longest side (the hypotenuse) and square it (multiply it by itself) then that will be the same value as adding up the squares of the other two sides:


    |\
A  |  \   C
    |    \
    |___\
       B

    A+B=C

Try it with any size triangle, so long as there is a right angle in it!

MathsIsFun
2005-07-05 08:47:54

Well, ganesh's example (5,12,13) should qualify:

5 = 12+13  YES! ... how interesting. I wonder why.

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