Some articles on face, faces:
Properties of A General Tetrahedron
... An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex ... segment joining a vertex of a tetrahedron with the centroid of the opposite face is called a median and a line segment joining the midpoints of two opposite edges is called a bimedian of the tetrahedron ... and besides the centroids of the four faces of the reference tetrahedron, it passes through four substitute Euler points, 1/3 of the way from the Monge point toward each of the four ...
... An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex ... segment joining a vertex of a tetrahedron with the centroid of the opposite face is called a median and a line segment joining the midpoints of two opposite edges is called a bimedian of the tetrahedron ... and besides the centroids of the four faces of the reference tetrahedron, it passes through four substitute Euler points, 1/3 of the way from the Monge point toward each of the four ...
Famous quotes containing the words face and/or chosen:
“And I envy the intransigence of my own
Countrymen who shoot to kill and never
See the victim’s face become their own
Or find his motive sabotage their motives.”
—Louis MacNeice (1907–1963)
“There comes a point in many people’s lives when they can no longer play the role they have chosen for themselves. When that happens, we are like actors finding that someone has changed the play.”
—Brian Moore (b. 1921)
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