The orthocentric simplex as an extreme simplex
The orthocentric simplex as an extreme simplex
Let s4 be a variable n -simplex containing a fixed point Q and having vertices A, and corresponding opposite faces .^/,,/ = 0, 1, , n.We use the properties of orthocentric simplexes to present brief solutions to the following problems and obtain several Erdόs-Mordell type inequalities as a by-product, some …