[Coco] Project Euler and the Coco

[Bill Barnes]

Ok, as long as we got it cleared and straightened up :) Guess that is also what I get for replying before the corrections made my box.

-Later!   -WB-    -- BABIC Computer Consulting.


--- On Sat, 11/15/08, Arthur Flexser <flexser at fiu.edu> wrote:

> From: Arthur Flexser <flexser at fiu.edu>
> Subject: Re: [Coco] Project Euler and the Coco
> To: "CoCoList for Color Computer Enthusiasts" <coco at maltedmedia.com>
> Date: Saturday, November 15, 2008, 2:35 PM
> On Sat, 15 Nov 2008, Bill Barnes wrote:
> 
... 
> Mark meant c < a+b, as he says in a later message, which
> follows from the fact
> that the hypotenuse of a right triangle must be less than
> the sum of the two
> other sides (the triangle collapses into a straight line as
> c approaches
> equality with a+b as the angle between sides a and b
> approaches 180 degrees).  
> Mark also proved algebraically in a later message that c
> < a+b follows from
> a^2+b^2=c^2.
> 
> I wrote:
> > > > I see no apparent reason why B must be in
> the range 334 to 667, as
> > > > John assumed.  Why exclude, for example, the
> abc combination 200, 300,
> > > > 500, which properly adds to 1000, from
> testing?
> > 
> and Mark replied: 
> > > because (a+b) < c     [should be a+b>c,
> which the example also violates]
> 
> Okay, bad example;  make it 200, 320, 480 as a plausible
> example that John
> excludes from testing by assuming that b is at least 334. 
> They add to 1000;
> a<b<c; a+b is properly greater than c; and b also
> exceeds (500-a), as Mark
> proved that it must.
> 
> Art