An Introduction to Mathematics, Volume 10 |
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Common terms and phrases
2x+h abstract algebraic form angle applied arc AP argument Arthur Thomson astronomer axis bers called chapter circle conic sections consider continuous function convergent coordinate geometry correlation corresponding cosine curve defined definite number diagram Differential Calculus direction easy ellipse equal equation example exponential function fact force formulæ fractions function f(x fundamental geometric series graph Greek H. A. L. Fisher Hence hyperbola imaginary important incommensurable infinite integers interpretation interval Leibniz length limit magnitude mathe mathematical ideas mathematicians matical meaning measure method multiplication namely nature negative numbers notation number of terms ordered couple origin pair of numbers parabola parallelogram parallelogram law particular period periodic function phenomena plane Professor properties rate of increase real numbers relation represents result sensations sine standard of approximation straight line sum to infinity symbols theory things thought tion triangle trigonometry variable numbers vector velocity vibration whole
Popular passages
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...