Centroid 
Orthocenter 
Circumcenter / Circumcircle 
Incenter/Incircle 
Medial triangle 
Orthocenter, Midsegment triangle 
Orthic triangle 
Triangle centers with Euler Line 
Center of Nine point circle 
Trisecting a line segment 
Equilateral triangle, given a side 
Square, given a side 

Triangle centers (H, G, C, and I) 
