Centroid

Orthocenter

Circumcenter

Circumcircle

Incenter

Incircle

Medial triangle

Orthocenter, Mid-segment triangle

Orthic triangle

Pedal triangle

Center of nine point circle

Nine point circle

Trisecting a line segment

Equilateral triangle, given a side

Square, given a side

Isosceles triangle, given base and altitude

Triangle centers with Euler line

Locus of vertex of a fixed angle that subtends a fixed segment

Golden rectangle

Pentagon, given a radius

Pentagon, given a side

Hexagon, given a side

Octagon, given a side

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