Re: Interesting problem


"Brian Reay" <see@xxxxxxxxxxxxxxx> wrote in message
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"Frank F. Matthews" <frankfmatthews@xxxxxxxxxxxxxx> wrote in message
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I was not implying the use of a ruler. Simply that you calculate the
length of the side of the square as an algebraic quantity (use the circle
radius as 1) and then try constructing the desired length.

OK. The ratio of the circle radius to the side of the square is SQRT(5):2.
Looks fun to try and draw a line of the exact length, even with a ruler.



I still don't see a way to get an absolute value for the require length but
I think there is a way we can use the ratios.

Construct a RA triangle with the radius as the base and the apex below the
circle, the vertical side should be twice the radius. Now draw a line // to
the hyp from the centre of the circle to the circumference. Form a triangle
with this new line, the section of the radius, and a new side a rightangles
to the radius. this new triangle is similar to the first one (AAA) so sides
are in correct ratio. Construct square with required dimensions from this
new triangle.

(Isn't describing this without a diagram a pain!).

Any other ideas?

Brian


.

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