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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 triangel, given base and altitude
Triangle Ceters (H,G,C, and I)	Triangle Ceters with Euler Line	Locus of vertex of a fixed angle that subtends a fixed segment	Divide a segment AB into two parts that form a golden ratio
Pentagon, given a radius	Pentagon, given a side	Hexagon, given a side	Octagon, given a side