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a+b+c according angular base called centre CHAPTER circle circular measure circumference circumscribing containing corresponding cos2 cosec cosine course decimal decreases in magnitude determined difference direction distance dividing draw drawn equal equation escribed circles EXAMPLES expressed feet formula given Given log grades greater half height Hence horizontal included increases inscribed integer joining known least length less logarithm magnitude method miles minutes nearly negative number of degrees object observed opposite perpendicular plane polygon positive primary progression Prove radii radius ratio Referring represent respectively revolving line right angle seconds shew sides similar Similarly sin A sin sine sinº straight line subtend Suppose tables Take taken tangent tower triangle ABC trigonometrical functions true unit values
Página 64 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 175 - ... 66. Construct an equilateral triangle, having given the length of the perpendicular drawn from one of the angles on the opposite side. 67. Having given the straight lines which bisect the angles at the base of an equilateral triangle, determine a side of the triangle. 68. Having given two sides and an angle of a triangle, construct the triangle, distinguishing the different cases. 69. Having given the base of a triangle, the difference...
Página 37 - B + cos A . sin B tan(A + B)= ) , (- = — . --. v cos (A + B) cos A . cos B — sin A . sin B and dividing numerator and denominator by cos A . cos B, sin A sin B cos A "'"cos B tan A + tan B 1 tan A.
Página 175 - Three circles are described, each of which touches one side of a triangle ABC, and the other two sides produced. If D be the point of contact of the side BC, E that of AC, and F that of AB, shew that AE is equal to BD, BF to CE, and CD to AF.
Página 5 - Now the angle at the centre of a circle which is subtended by an arc equal to the radius equals — = 57°. 29578, it so that the true length of a curve is given by the equation t IR L — ~ — — 57.2958 — 57.2958...
Página 113 - ... would be subtended at the centre of the first by an arc equal to the radius of the second. 9. If a be the arc which measures the complement of an angle to radius r, find the arc which measures the supplement of the same angle to radius r'.