Pythagoras of Samos

According to him, in a right angle triangle a2 +b2 = c2

where a and b meet there is, by definition, a 90 degree angle.

the other two angles add up to also 90 degrees.

so, in accordance with the formula, if a = 5, and b = 10, 

c must be 11.18.....

in  this case c is 0.894% longer than b.

If I now extend the base line (b) from 10 to 100, we get the following result:

25+10,000 = c sq

c = 100.125, which is 0.998% longer than b

let me now extend base line b to infinite.

does that mean that the hypotenuse "c" must also be infinite and the angle where a meets c must now also be 90 degrees. Are we now dealing with two parallel lines b and c, which will never meet

at best we are no longer dealing with a triangle, but a square.

unless one considers the theorem that parallel lines meet in infinity.

Or is this whole thing a bunch of h.s. since there is no "infinity" in Geometry?

or is there?

Bertstravel

wonders about the craziest things.