An Introduction to Mathematics, Volume 10

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H. Holt, 1911 - Mathematics - 256 pages
 

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Page 59 - By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases the mental power of the race.
Page 217 - Hark! the rushing snow! The sun-awakened avalanche! whose mass, Thrice sifted by the storm, had gathered there Flake after flake, in heaven-defying minds As thought by thought is piled, till some great truth Is loosened, and the nations echo round, Shaken to their roots, as do the mountains now.
Page 61 - It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking ^ what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them.
Page 43 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 139 - Newton's law of gravitation states that any two bodies attract each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them...

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