The rest of the book treats of the trisection of an angle, and the solution of more general problems of the same kind by means of the quadratrix and spiral.
2.
It is interesting to note that the trisection of an angle ( dividing it into three equal parts ) cannot be achieved with the compass and ruler alone ( this was first proved by Pierre Wantzel ).
3.
In a recent search of approximations to the trisection of an angle using just a straight edge and a compass, I did not find any reference to an article I wrote some time between 1970 and 1974 titled " A Good Approximation to the Trisection of an Angle . " the article was published in the Journal of Recreational Mathematics.
4.
In a recent search of approximations to the trisection of an angle using just a straight edge and a compass, I did not find any reference to an article I wrote some time between 1970 and 1974 titled " A Good Approximation to the Trisection of an Angle . " the article was published in the Journal of Recreational Mathematics.
5.
"Doubling the cube " and " trisection of an angle " ( except for special angles such as any " ? " such that " ? " / 2? is a rational number with denominator not divisible by 3 ) require ratios which are the solution to cubic equations, while " squaring the circle " requires a transcendental ratio.
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