Re: more trigonometry help

In article <13gnjat4alqb695@xxxxxxxxxxxxxxxxxx>,
HeyBub <heybubNOSPAM@xxxxxxxxx> wrote:
J. Clarke wrote:

Decartes proved, oh so many years ago, that geometry and algebra
were
mathematically equivalent - anything doable in one was doable in the
other.

So figure out the dimensions of a square with the same area as a
circle or trisect an angle geometrically.


Hmm. Archimedes trisected an angle. You really should keep up.
Ah, but I bet he used more than just a compass and straightedge.
And yes, I know of the marked straightedge method. It works, but purists
don't like it.

You are right about "squaring the circle." Can't be done since pi is a
trancendental number. Can't be done with algebra either, unless you simply
express the area as an equation. In other words, it can't be "solved" for a
value.
Actually, you can square the circle provided you're not limited to
a straight edge and compass.

Method:
1. Make a wheel the size of the circle to be squared.
2. Mark a point on the wheel.
3. Use wheel to measure distance on line equal to circumference.
Finally, use the standard method of computing the square root of
the length of the line segment you got in step 3.

See? It's easy provided you're not restricted to just a compass and straight
edge.


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