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base bearing boundary line called centre changes CHAPTER circle circular contains cos2 cosec cosine cot2 decimal decreasing definition denote diff difference direction distance draw equal equation Example Express feet figure find the height Find the number Find the value formula fraction functions given log Hence identities increasing integer length lies logarithm magnitude miles minutes multiple negative observer obtained opposite perpendicular places positive Prove quadrant quantity radian measure radius radius vector relations respectively right angle right-angled triangle root sec2 seen sexagesimal shew ship sides Similarly sin2 sine solution solve the triangle student subtends suppose Tables taking tan2 tangent third tower traced trigonometrical ratios unit whence write yards
Page 131 - ... the logarithm of a fraction is equal to the logarithm of the numerator diminished by the logarithm of the denominator...
Page 177 - From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle BCA is observed to be 135° : find the height of the mountain in yards.
Page 340 - OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By HS HALL, MA, and FH STEVENS, MA, Masters of the Military and Engineering Side, Clifton College. Gl.
Page 132 - The integral part of a logarithm is called the characteristic, and the decimal part is called the mantissa.
Page 39 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius of the circle...
Page 132 - Let N be a number whose integral part contains n digits ; then JV= JQ<il>HftiMlon . .'. log^V=(?t— l) + a fraction. Hence the characteristic is и — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive.
Page 185 - From the top of a hill the angles of depression of two objects situated in the...
Page 338 - We will not say that this is the best Elementary Algebra for school use that we have come across, but we can say that we do not remember to have seen a better. . . . It is the outcome of a long experience of schoolteaching, 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...