Volume 6
, Issue 1


Converse theorems seem quite often too obvious and the beginner might think that they hold automatically.

It is fairly generally known, even amongst not very advanced students of mathematics, that in addition to the many ingenious constructions with straight edge and compasses which were discovered by the ancient Greeks, there were a number of similar construction problems which defied all their efforts

J131 (i) How many lines equidistant from three given points can be drawn in the plane?

J121 The numbers $a,b,c,d$ and $e$ are consecutive integers, each smaller than $10,000$.