to anyone who will take the trouble to understand it. Ptolemy
mentions that travellers who went to the south reported, that, as
they did so, the appearance of the heavens at night underwent a
gradual change. Stars that they were familiar with in the northern
skies gradually sank lower in the heavens. The constellation of the
Great Bear, which in our skies never sets during its revolution round
the pole, did set and rise when a sufficient southern latitude had
been attained. On the other hand, constellations new to the
inhabitants of northern climes were seen to rise above the southern
horizon. These circumstances would be quite incompatible with the
supposition that the earth was a flat surface. Had this been so, a
little reflection will show that no such changes in the apparent
movements of the stars would be the consequence of a voyage to the
south. Ptolemy set forth with much insight the significance of this
reasoning, and even now, with the resources of modern discoveries to
help us, we can hardly improve upon his arguments.

Ptolemy, like a true philosopher disclosing a new truth to the world,
illustrated and enforced his subject by a variety of happy
demonstrations. I must add one of them, not only on account of its
striking nature, but also because it exemplifies Ptolemy's
acuteness. If the earth were flat, said this ingenious reasoner,
sunset must necessarily take place at the same instant, no matter in
what country the observer may happen to be placed. Ptolemy, however,
proved that the time of sunset did vary greatly as the observer's
longitude was altered. To us, of course, this is quite obvious;
everybody knows that the hour of sunset may have been reached in
Great Britain while it is still noon on the western coast of
America. Ptolemy had, however, few of those sources of knowledge
which are now accessible. How was he to show that the sun actually