### Contents

 CHAPTER 1 RIGHT TRIANGLES 7 The Trigonometric Ratios 13 Use of the Large Tables 19 CHAPTER III 25 The Law of Sines 31 Miscellaneous Exercises 45 PART II 56
 vii 83 Applications 85 Conditional Equations 91 PART II 100 Inverse Functions Graphs 106 SPHERICAL TRIGONOMETRY 108132 108 Solution of Spherical Triangles 115 Napiers Rules 121

### Popular passages

Page 137 - I. The logarithm of a product is equal to the sum of the logarithms of the factors : log ab = log a + log 6. This follows from the fact that if 10!
Page 137 - RULE II. The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result. Thus, the characteristic of log...
Page 32 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Page 113 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Page 121 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 87 - A 1 + cos A 1 + cos A 1 - cos A sin A PRACTICE EXERCISES Use the identities above to find each function value.
Page xvii - ... duplicates of the preceding fiveplace tables, reduced to four places, and with larger intervals between the tabulations. The value of such four-place tables consists in the greater speed with which they can be used, in case the degree of accuracy they afford is sufficient for the purpose in hand.
Page 137 - The logarithm of every number between 10 and 100 is some number between 1 and 2, ie, is 1 plus a fraction. The logarithm of every number between 100 and 1000 is some number between 2 and 3, ie, is 2 plus a fraction, and so on.
Page 42 - The area of a triangle is equal to one half the product of the base and the altitude: A = I bx a.
Page 137 - The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, \ Therefore, tag tf� = 2 = 6.