# The Elements of Plane and Spherical Trigonometry ...

### Contents

 Section 1 1 Section 2 48 Section 3 50 Section 4 60
 Section 5 61 Section 6 86 Section 7 104 Section 8 118

### Popular passages

Page 85 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 85 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Page 75 - To raise a number to any power, multiply the Log. of the number by the index of the power; the result will be the Log.
Page 62 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Page 85 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Page 40 - The sides of a triangle are proportional to the sines of the opposite angles.
Page 72 - See the table at the end of this number. To find from the table the length of any given number of degrees and minutes, look for the degrees at the top of the page, and the minutes on the side; then against the minutes, and under the degrees, will be the length of the arc in nautical miles. 67. Meridional Difference of Latitude. — An arc of Mercator's meridian contained between two parallels of latitude, is called meridional difference of latitude. It is found by subtracting...
Page 53 - The RADIUS of a sphere is a straight line drawn from the centre to any point in surface, as the line C B.
Page 41 - 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 76 - Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root. EXAMPLE.— Extract (a) the square root of 77,851; (6) the cube root of 698,970; (c) the 2.4 root of 8,964,300.