A Class in Geometry : Lessons in Observation And Experiment

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The boys concurred in a wrong answer : " Along the parallel of northern latitude 45° 30', — the parallel which joins them." Taking a brass- wire semicircle, D 0, equal in diameter to the equator, and applying it so as to touch both places, the lads saw at once that the shortest route would take a ship somewhat toward the north for the first half of the voyage, and somewhat toward the south for the second half; that if two ports are to be joined by an arc, the largest circle of which that arc ca...n form part marks out the shortest track, because it is the nearest possible approach to a straight line : further- more, this largest or great circle is practically no other than a new equator cutting the earth in a plane inclined to the geographical equator. [Pig. 36.] We now pro- ceeded to measure, in arcs of great circles, the .distance from Port Nelson, in Hudson's Bay, to Liverpool : it proved to be a little shorter than the route from either Montreal or New York to Liverpool, simply because the sphere of A CLASS IN GEOMETRY.

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