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Centroid

orthocenter

Circumcenter

Circumcircle

Incenter

Incircle

Medial Triangle

Orthocenter, Mid-segment Triangle

Euler's Line

Orthic Triangle

Pedal Triangle

Center Of Nine Point Circle

Trisecting a line segment

Equilateral Triangle, a given side

Square

Isosceles triangle, given a base and altitude

Hexagon, given a side.

Octagon, given a side.

Divide a segement AB, into the golden ratio.