### Constructions

1.
Given two points, there is a unique line that joins them.

2.
Given two lines which are not parallel, there is a unique point where
they intersect.

3. Given a
line and a point not on the line, there is a unique line through the
point parallel to the line

4. Given a
point and a line, there is a unique line through the point
perpendicular to the line.

5.
Given two points, there is a point which is halfway between them on
the line segment joining the two points.

6. Given an angle, there
is a line through the vertex of the angle which bisects it.

7.
Given a point and a distance, there is a unique circle centered at
the point having the given distance as its radius.

8. Given a circle and a point
outside the circle, there are two lines through the point tangent to
the circle.