## Elements of Plane and Spherical Trigonometry |

### From inside the book

Page 9

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**the number of ciphers between the decimal point and the first significant**figure from 9 , writing 10 after the mantissa . Thus , log.000431 6+ the mantissa - 10 . 8. The two integral parts of the characteristic of the logarithm of a ...### Common terms and phrases

9 cos 9 9 cot 9 sin 9 A₁ acute angle adjacent altitude angle are given base celestial sphere characteristic circle colog cologarithm cosē cosine Cyclically difference distance divided equal Exercise Find the angle Find the area Find the logarithm find the number Find the values following by logarithms formulas Hence hour-angle hypotenuse included angle isosceles triangle law of cosines law of sines log cot log sin 20 longitude mantissa Napier's Rules natural functions negative number corresponding number whose logarithm opposite angles perpendicular plane polar triangle positive Quadrant radian radius Relation right spherical triangle right triangle sides and angles sin 9 cos sin b sin sinē solution solved spherical excess spherical triangle subtract tables tanē tanc tangent three angles three sides Trigonometry Whence

### Popular passages

Page 50 - THE MACMILLAN COMPANY, 66 FIFTH AVENUE, NEW YORK. This book should be returned to the Library on or before the last date stamped below. A fine of five cents a day is incurred by retaining it beyond the specified time. Please return promptly.

Page 9 - Hence, to find the characteristic of the logarithm of a number less than 1, subtract the number of ciphers between the decimal point and first significant figure from 9, writing — 10 after the mantissa.

Page 8 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 8 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 74 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°.

Page 57 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.

Page 50 - It is the outcome of a long experience of school teaching, and so is a thoroughly practical book. All others that we have in our eye are the works of men who have had considerable experience with senior and junior students at the universities, but have had little if any acquaintance with the poor creatures who are just stumbling over the threshold of Algebra. . . . Buy or borrow the book for yourselves and judge, or write a better.

Page 7 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 76 - The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts.