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tated, to the subject of the figure of the earth. In 1670 Picard measured an arc of the meridian in France; and in 1718, the whole area extending through France was measured by Cassini and other philosophers. The results of this measurement seemed to disprove Newton's theory, that the curvature of the earth diminished as we recede from the equator. To remove all doubts, an arc near the equator was measured in Peru, by some French and Spanish astronomers; and an arc near the arctic circle by some French and Swedish astronomers; the result was a confirmation of Newton's theory, and that the equatorial diameter exceeded the polar by about 1/204 part of the whole. Since this period, arcs of the meridian have been measured in several countries. In 1787 it was determined by the British and French governments to connect the observatories of Greenwich and Paris by a series of triangles, and to compare the differences of latitudes and longitudes, ascertained by astronomical observations, with those ascertained by actual measurement. The measurement in England was extended to a survey of the whole kingdom; and the accurate maps thus obtained have been since published. Arcs of the meridian have also been measured lately from Dunkirk to Barcelona,--in Lapland, by which an error in the former measurement there was corrected;--and in India. We have been thus particular in our notice of this subject, because it is evident that such measurements must lie at the foundation of all real improvements in the construction of maps. Let us next turn our attention to the improvements in navigation which have taken place during the last and present centuries; these seem to consist, principally, in those which are derived from physical science, and those which are derived from other sources. The grand objects of a navigator are the accurate knowledge of where he exactly is, in any part of his course, and how he ought to steer, in order to reach his destination in the shortest time. The means of ascertaining his latitude and longitude, of calculating how far he has sailed, and at what rate he is sailing, and the direction of his course with reference to the port to which he is desirous to proceed, are what he principally requires. We do not intend, by any means, to enter at any length, or systematically, on these subjects; but a brief and popular notice of them seems proper and necessary in such a work as this. Astronomy here comes essent
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