IF P( 5, - 4), Q( 8, 5) and R ( 2, - 1) and vertices of triangle POR M is midpoint of Q R and A is a point on PM join such that PA/AM is equal to 2 /1 find the coordinates of A.
Answers
Hey,
The enormous number of problems and theorems of elementary geometry was considered
too wide to grasp in full even in the last century. Even nowadays the stream of new problems
is still wide. (The majority of these problems, however, are either well-forgotten old ones or
those recently pirated from a neighbouring country.)
Any attempt to collect an encyclopedia of all the problems seems to be doomed to failure
for many reasons.
First of all, this is an impossible task because of the huge number of the problems, an
enormity too vast to grasp. Second, even if this might have been possible, the book would
be terribly overloaded, and therefore of no interest to anybody.
However, in the book Problems in plane geometry followed by Problems in solid geometry
this task is successfully perfomed.
In the process of writing the book the author used the books and magazines published
in the last century as well as modern ones. The reader can judge the completeness of the
book by, for instance, the fact that American Mathematical Monthly yearly1 publishes, as
“new”, 1–2 problems already published in the Russian editions of this book