Medial Triangle Locus Theorem
Given an original triangle (thick line), find the Medial Triangle (outer thin line) and its Incircle. Take thePedal Triangle (inner thin line) of the Medial Triangle with the Incenter as the Pedal Point. Nowpick any point on the original triangle, and connect it to the point located a half-Perimeter away (gray lines). Thenthe locus of the Midpoints of these lines (the 
s in the above diagram) is the PedalTriangle.
References
Honsberger, R. More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., pp. 261-267, 1991. Tsintsifas, G. ``Problem 674.'' Crux Math., p. 256, 1982.
- Mid-Arc Points
- Midcircle
- Middlespoint
- Midpoint
- Midpoint Ellipse
- Midradius
- Midrange
- Midsphere
- Midy's Theorem
- Mikusinski's Problem
- Milin Conjecture
- Mill
- Miller-Askinuze Solid
- Miller Cylindrical Projection
- Miller's Algorithm
- Miller's Primality Test
- Miller's Solid
- Milliard
- Millin Series
- Million
- Mills' Constant
- Milne's Method
- Milnor's Conjecture
- Milnor's Theorem
- Minimal Cover