Answer to Question #134778 in Geometry for Fortunate Senamile

Question

Three geometrical that date back to the early day of greek geometry and often referred to as the three classical problems,are solve by purely geometric mean using only a straight edge and compass. Name the three classical problems and illustrate them with drawings

Answer 1

Three geometrical problems, often referred to as the Three Classical Problems, all to be solved by purely geometric means using only a straight edge and a compass, date back to the early days of Greek geometry: 

1. "the squaring (or quadrature) of the circle", 

2. "the doubling (or duplicating) of the cube",

3. "the trisection of an angle".

These intransigent problems were profoundly influential on future geometry and led to many fruitful discoveries, although their actual solutions (or, as it turned out, the proofs of their impossibility) had to wait until the 19th Century.