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Angel Constructions:

Construct congruent angles

Bisect an angle

Circle Constructions:

Construct a circle given three points

Find the center of a given circle

Bisect a given arc

Draw a tangent to a circle at a given point on the circle

Draw a tangent to a circle from a given point not on the circle

Inscribed-Circumscribed Constructions:

Circumscribe a circle about a given triangle

Inscribe a circle in a given triangle

Inscribe a square in a given circle

Inscribe a regular hexagon in a circle

Inscribe a regular decagon in a circle

Describe an arc of a circle on a given chord, in which a given angle can be inscribed

Line Constructions:

Erect a perpendicular to a given line at a given point on the line
Drop a perpendicular to a given line from a given external point

Bisect a given line segment

Erect a perpendicular to a line segment at the extremity of the segment

Draw a line through a given external point parallel to a given line

Divide a line segment into a given number of equal parts
Divide a given line into extreme and mean ratio

Polygon Constructions:

Construct a polygon similar to a given polygon

Construct a square equivalent to the sum of two given squares

Construct a square equivalent to the difference of two given squares

Triangle Constructions:

Construct a triangle when three sides are given

Construct a triangle with two sides and the included angle

Construct a triangle with two angles and the included side

Construct a triangle when two sides and the angle opposite one are given