Suggestive Hints Towards Improved Secular Instruction Making It Bear Upon Pract

Cover Suggestive Hints Towards Improved Secular Instruction Making It Bear Upon Pract
Suggestive Hints Towards Improved Secular Instruction Making It Bear Upon Pract
Richard Dawes
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) If the earth's diameter were only one half what it is, what proportion would the mass, the surface, and the different land divisions of this new globe bear to those of the present one, and what would be the size of each in square miles.
The teacher should work this question out numerically to its final results ; it only requires a knowledge of the pro- perties of a circle and of a globe, that the circumferences of circles vary as their diameters, the areas as the squares ; and that the solid
...contents of spheres vary as the cubes of their diameters.
Archimedes more than two thousand years ago discovered that the superficies of a sphere is equal to the convex sur- face of the circumscribing cylinder, or to the area of four of its great circles ; and that the solidity of the sphere is to that of its circumscribing cylinder as 2 to 3. He was so 142 SUGGESTIVE HINTS.
/ pleased with this discovery, that he ordered a sphere in- scribed in a cylinder to be placed on his tomb, and the numbers which express the ratio of these solids.


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