Geometric Construction Problems
Ruler-and-compass geometric constructions
- Draw a line perpendicular to a straight line
- Draw a line parallel to a straight line
- Split a segment into
equal parts
- Split an angle into two equal parts
If
is constructible, then
are also constructible
- According to Pythagora's theorem, the square number
is also constructible
- The coordinates of the intersections between a line and a circle and between two circles are the solutions of a second-order equation
If
is a constructible field, then constructible points are located inside the second-order overfield 
.
A complex number
is constructible if a sequence 
with 
exists in a sequence of a field satisfying the conditions:
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