False
being an archetect requires a compass, straight edge and many other tools
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.
Doubling a cube and trisecting any angle
You don't need advanced algebra to prove that it is impossible to trisect a line segment using only a straight edge and a compass: anyone knows that you will also need a pencil! And one you have that then there are plenty of easy ways to do it.
false
False
false
being an archetect requires a compass, straight edge and many other tools
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.
doubling the cube
doubling a cube and trisecting any angle
Doubling a cube and trisecting any angle
A. Trisecting any angle B. Doubling a cube
You don't need advanced algebra to prove that it is impossible to trisect a line segment using only a straight edge and a compass: anyone knows that you will also need a pencil! And one you have that then there are plenty of easy ways to do it.
Squaring the circle, duplicating the cube, and trisecting an angle were constructions that were never accomplished by the Greeks with only a straightedge and compass. These are known as the three classical geometric problems that cannot be solved using only those tools.
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
false