You're absolutely right Clint.  You are infallible and without a doubt the most 
intelligent person on the face of the earth.  Your sources are the only ones that can 
possibly be correct because you insist that they are - and you of course can not make 
mistakes.

Do you love proving your Ranger boys wrong too?

In a message dated Mon, 25 Feb 2002 12:56:46 AM Eastern Standard Time, "clint grant" 
<[EMAIL PROTECTED]> writes:

> I think the key to this folly is the statement you made: "according to several 
>websites". Which, among several tens of thousands on any given subject, one should 
>have no problem finding a few (or several) which contain less than accurate 
>historical information. The case still remains that there are the two distinct 
>methods of finding the solution to the problem, which was and still is the original 
>point of contention brought up by you, and which seems to have fallen to the wayside 
>in your most recent discourse, quite understandably. (You simply had no other leg to 
>stand upon.) This was , and still is, where you are mistaken. The two methods are not 
>the same.  For instance, take a right triangle withtwo legs of 7" and 20" and x" as 
>the hypotenuse. The 3-4-5 method willnot be applicable in this case, but the 
>pythagorean theorem will.  7x7=49  20x20=400.  49+400=449 square root of 
>449=21.18962" - the hypotenuse.   The most widely accepted view is that Pythagoras is 
>credited with the theorem which is named after him. In fact, this is the first timeI 
>have actually heard of anyone attempting to contest that. My source, for the sake of 
>time and convenience, shall be :  Funk and Wagnalls Standard Dictionary   Under the 
>definition of the word:  Pythagorean theorem (pi THag e REE en) Geom. the theorem of 
>Pythagoras that the sum of the squares of the legs of a right triangle is equal to 
>the square of the hypotenuse.  What seems to have occured here, both in your 
>supposition and in your subsequent website research, is a confusion of the 
>Pythagorean theorem and the 3-4-5 method. While the Pythagorean theorem will apply in 
>the 3-4-5 case, as it will in any right triangle, the 3-4-5 method depends upon 
>triangles with multiples thereof, providing further proof both of the distinctiveness 
>of the two methods and the falseness of your original claim that they are the same.   
>BTW, the most widely accepted view by historians is that the egyptians developed the 
>3-4-5 method for use in the cornfields. No need for me to reference that, it's just 
>simple common knowledge that I've been aware of since high school geometry, and that 
>will stand on it's own merit. Myself, I think Job came up with it, but that's another 
>story.     ----- Original Message ----- From: [EMAIL PROTECTED] Sent: Sunday, 
>February 24, 2002 10:16 PM To: [EMAIL PROTECTED] Subject: Re: [RR] Let's take a 
>test-ANSWERS And a 3-4-5 triangle is simply the smallest integer right triangle known 
>where the area is also an integer namely (6 Square Units). Right triangles having 
>integer (whole number) sides are known as "Pythagoran Triangles".
> 
> Besides, according to several websites the actual origin of the 3-4-5 right triangle 
>is most likley unknown. This means that whom ever first discovered or comprehended 
>the 3-4-5 right triangle's existence has no historical reference as to the place, 
>time, and circumstances of its discovery. The discovery of the 3-4-5 right triangle 
>was probably known some time before 1900 BC to 1600 BC.
> 
> The Babylonians were the first to document the existance of the 3-4-5 right triangle 
>and several other integer sided right triangles as recorded on a Babylonian Clay 
>Tablet known as "Plimpton 322" using cuneiform script made by pressing styles into 
>moist soft clay.
> 
> The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 
>B.C. (the same tablet mentioned before). Whether Pythagoras (c.560-c.480 B.C.) or 
>someone else from his School was the first to discover its proof can't be claimed 
>with any degree of credibility.
> 
> Pythagoras didn't discover the theorem - he simply proved it. One of Pythagoras's 
>proofs included the 3-4-5 triangle. Multiples of that, such as the ones you listed, 
>are the same.
> 
> 
> 2/24/2002 12:38:23 PM Pacific Standard Time, [EMAIL PROTECTED] writes:
> 
> 
>  
> No, you are mistaken. These are two diferent methods. Pythagorean theorem is as I 
>stated. Pythagoras was a greek mathematician. His theorem states that the sum of the 
>squares of the legs of a right triangle is equal to the square of the hypotenuse. A 
>squared +b squared = c squared. The 3-4-5 method states that a triangle with sides 
>divisible by 3, 4, and 5 respectively will always be a right triangle. The egyptians 
>came up with this one for planting straight rows of corn, and I used it many times to 
>build square houses, as recently as last week. Try it. 3,4,5,-15,20,25- 6,8,10-etc. 
> 
> 
> 
> 
> Get more from the Web.  FREE MSN Explorer download : http://explorer.msn.com


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