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§ 221]
The Shape of the Earth
277

latitudes differing by 10°; so that two consecutive verticals are inclined in every case at an angle of 10°.

If, as in fig. 78, the shape of the earth is drawn in accordance with Newton's views, the figure shews at once that the arcs a a1, a1 a2, etc., each of which corresponds to 10° of latitude, steadily increase as we pass from a point a on the equator to the pole b. If the opposite hypothesis be

Fig. 78.—The varying curvature of the earth.

adopted, which will be illustrated by the same figure if we now regard a as the pole and b as a point on the equator, then the successive arcs decrease as we pass from equator to pole. A comparison of the measurements made by Eratosthenes in Egypt (chapter ii., § 36) with some made in Europe (chapter viii., § 159) seemed to indicate that a degree of the meridian near the equator was longer than one in higher latitudes; and a similar conclusion was indicated by a comparison of different portions of an extensive