ABSTRACT
Suppose yourself a worm-the Bible says you are anyway-and crawling around on a sheet of paper. With your vermicular mind you doubtless would take a superficial view of the universe and find it as impossible to imagine a third dimension as man does
a fourth. If in the course of your crawling you came across a triangle you might-if you were a measur ing worm-pace it off and find that the distance from A to B was 8 inches, from B to C was 6 inches and from this data, if you knew the law of the hypothenuse, you might calculate that the distance from A to C was 10 inches. On measuring it you would find your prediction verified, and so gain perfect confi dence in your plane geometry. But unbeknown to you, poor worm with your eyes fixed on the paper, some man may have picked up the sheet and crumpled it up or rolled it over so that A and C are then only
one inch apart in the third dimension. The worm is right when he thinks the distance between these points is 10 inches; so is the man right when he says it is one inch. It dependsi on the point oi view.
