pythagoras theorem

[arkain101]

pythagoras rule






A well known concept in mathamatics.


I was mapping out some shapes to understand why this was. In the process I drew out some shapes and saw something. I assume this not neccesaraly unknown.

The pythagoran theorem can be expressed as;

[arkain101]

What got me interested in this was the physics aspects of nature.

The differential of distance(ds) in cartesian 3D space is defined as:




Which translates into.

[arkain101]

So I would predict that;

In the geometry of special relativity, a fourth dimension, time, is added, with units of c, so that the equation for the differential of distance becomes:



would translate into.



Not positive..

[ughaibu]

Arkain101: Your formula only applies to isosceles triangles. Here's a page with "72 approaches to proving the theorem": Pythagorean Theorem and its many proofs

[ughaibu]

In fact, your formula doesn't work even for isosceles triangles.

[arkain101]

Okay what the heck..
I feel retarded now.

[ughaibu]

Dont worry about it. I think things like the Pythagorean theorem are great fun, simple but with incomprehensible ramifications.

[arkain101]

You know what I think I meant to be doing is this.

AB/BC = BD/AB and AC/BC = DC/AC.


If you see my drawing, that is what I was comprehending, of course thought I confused the maths by accident.

[arkain101]

What about this here?

Did I find a constant for squares? The hypotenuse of a right triangle with equal lengths for a and b, or the hypotinuse of a square is has a constant, 1.4142136....





Now,



Note Pie = 3.141
And the constant I found is 1.41

In other words the distance of a square corner to corner is;



Constant =

Sure hope I didnt make another blind mistake.

[arkain101]

The length of the polygon diagonal of the unit square is , sometimes known as Pythagoras's constant.