Elementary Functions and Applications

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H. Holt, 1920 - 436 páginas

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Página 368 - This is the same as the number of permutations of n things taken r at a time, and hence r!C(»,r) = P(«,r) '-- It is interesting to know that the number of combinations of n things taken r at a time is the same as the number of combinations of n things taken n — r at a time.
Página xviii - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Página xviii - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 171 - A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.
Página 289 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Página 204 - Given two sides and an angle opposite one of them. The angle opposite the other given side is found by Theorem I. The third angle is obtained by subtracting the sum of the other two from 180°.
Página 155 - It is found that the quantity of work done by a man in an hour varies directly as his pay per hour and inversely as the square root of the number of hours he works per day. He can finish a piece of work in six days when working 9 hours a day at Is.
Página 181 - You have learned that the tangent of an acute angle of a right triangle is the ratio of the side opposite the angle to the side adjacent to the angle.
Página 368 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Página 320 - The vertices of the triangles form the vertex of the pyramid. The altitude of the pyramid is the perpendicular distance from the vertex to the base.

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