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ery natural and sufficient theory. The Pythagoreans, it is true, argued that our earth must be spherical, but why? Oh, said they, because in geometry the sphere is the "most perfect" of all solid figures. Aristotle, being scientific, gave better reasons for believing that the earth is spherical or ball-shaped. He said the shadow of the earth is always round like the shadow of a ball; and the shadow of the earth can be seen during any eclipse of the moon; therefore, all who see that shadow on the moon's disk know, or ought to know, that the earth is ball-shaped. Another reason given by Aristotle is that the altitude of any star above the horizon changes when the observer travels north or south. For example, if at London a star appears to be 40 deg. above the northern horizon, and at York the same star at the same instant appears 42-1/2 deg., it is evident that 2-1/2 deg. is the difference (increase) of altitude at York compared with London. Such an observation shows that the road from London to York is not over a flat, level plane, but over the curved surface of a sphere, the arc of a circle, in fact. Herodotus, the father of history, was a good geographer and an experienced traveler, yet his only conception of the world was as a flat, wide-extending surface. In Egypt he was told how Pharaoh Necho had sent a crew of Phenicians to explore the coast of Africa by setting out from the Red Sea, and how they sailed south till they had _the sun on their right hand_. "Absurd!" says Herodotus, in his naive manner, "this story I can not believe." In Egypt, as in Greece or Europe generally, the sun rises on the left hand, and at noon casts a shadow pointing north; whereas in South Africa the sun at noon casts a shadow pointing south, and sunrise is therefore on the _right hand_. The honest sailors had told the truth; they had merely "crossed the line," without knowing it. If Herodotus had known that the world was spherical or ball-shaped, he could easily have understood that by traveling due south the sun must at last appear at noon to the north instead of the south. A counterpart to the story of the Phenician sailors occurs in Pliny: he tells how some ambassadors came to the Roman Emperor Claudius from an island in the south of Asia, and when in Italy were much astonished to see the sun at noon to the south, casting shadows to the north. They also wondered, he says, to see the Great Bear and other groups of stars which had never
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