## Elementary Functions and Applications |

### From inside the book

Page xviii

( c ) If two triangles

( c ) If two triangles

**have an angle of one equal to an angle of the other**, and the including sides proportional , the triangles are similar . ( d ) If two triangles have their sides respectively proportional they are similar .### What people are saying - Write a review

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### Other editions - View all

Elementary Functions and Applications (Classic Reprint) Arthur Sullivan Gale No preview available - 2018 |

### Common terms and phrases

abscissas amount angle approaches approximately assumed average ball base body called circle coefficient computed constant Construct coördinates corresponding curve DEFINITION denote derivative determined deviation difference direction distance dividing draw equal equation error EXAMPLE EXERCISES express feet feet per second figure Find formulas frequency function given gives Hence horizontal hour inches increases integral intercept intervals length less lies limit logarithms maximum mean measurements method miles moving multiplying negative obtained origin pairs parallel plane Plot the graph positive pounds probability problem properties Prove quadrant radius rate of change ratio relation represented respect result roots scale sides slope solution Solve square straight line Substituting symmetrical table of values tangent Theorem tion triangle unit variable velocity vertical volume weight whence x-axis y-axis zero

### Popular passages

Page 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.

Page 223 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 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.

Page xviii - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Page 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.

Page 223 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 289 - Now all know that the intensity of illumination varies inversely as the square of the distance.

Page 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.

Page 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.

Page 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.