Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 50
... greater than the angle BEC ( Euclid I. 16 ) , and therefore the angle BDC is greater than the angle BEC , that is , the point D is the point at which the flagstaff subtends the greatest angle . To find the distance AD . If a denote the ...
... greater than the angle BEC ( Euclid I. 16 ) , and therefore the angle BDC is greater than the angle BEC , that is , the point D is the point at which the flagstaff subtends the greatest angle . To find the distance AD . If a denote the ...
Página 57
... greater than 1 right angle , but less than 2 right angles , and is said to be an angle in the second quadrant . When OP coincides with OA ' , the angle described AOA ' is an angle of 2 right angles . When OP has revolved through OA'into ...
... greater than 1 right angle , but less than 2 right angles , and is said to be an angle in the second quadrant . When OP coincides with OA ' , the angle described AOA ' is an angle of 2 right angles . When OP has revolved through OA'into ...
Página 58
Robert Hamilton Pinkerton. In the same way the arc AP may become greater than any number of circumferences by the continued revolution of OP . Ex . A wheel is revolving uniformly at the rate of 300 revolutions per minute . Find the angle ...
Robert Hamilton Pinkerton. In the same way the arc AP may become greater than any number of circumferences by the continued revolution of OP . Ex . A wheel is revolving uniformly at the rate of 300 revolutions per minute . Find the angle ...
Página 63
... greater than 360 ° . 42. Supplement of an Angle . The supplement of an angle is the difference between the angle and two right angles . If A is the degree measure of an angle , 180 ° – A is the degree measure of the supplement ; and if ...
... greater than 360 ° . 42. Supplement of an Angle . The supplement of an angle is the difference between the angle and two right angles . If A is the degree measure of an angle , 180 ° – A is the degree measure of the supplement ; and if ...
Página 66
... are true whatever be the magnitude of the angle A. 45. By Arts . 41 , 43 , 44 , we can express any ratio of any angle in terms of the ratio of an angle less than 90 ° . For , if the angle is greater than 360 ° , we can 66 TRIGONOMETRY .
... are true whatever be the magnitude of the angle A. 45. By Arts . 41 , 43 , 44 , we can express any ratio of any angle in terms of the ratio of an angle less than 90 ° . For , if the angle is greater than 360 ° , we can 66 TRIGONOMETRY .
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Términos y frases comunes
angle AOB angle BAC angle increases angle less Article base centre circumference cloth boards common logarithm complement cos(A+B cos2A cos4A cosB cosC cose cosecA cosine cotA cotangent decimal places degree measure diameter distance equal equation Euclid EXAMPLES feet Find the angle Find the height find the number find the values flagstaff following angles formula given Hence hypotenuse inches log2 loga logarithms of numbers magnitude mantissa miles negative numbers number expressing number of degrees numerical value perpendicular positive Prove quadrant radian measure radii ratios of angles regular polygon respectively right angle right-angled triangle sec²A secA secant side BC Similarly sin(A sin(A+B sin2A sin2B sin3A sinB sine sine and cosine square root table of logarithms tan(A+B tan²A tanA tanB tangent tanß tower triangle ABC trigono trigonometrical ratios unit of angle yards
Pasajes populares
Página 90 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a".
Página 90 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Página 118 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 149 - Find the length of the side of a square whose area is equal to that of a rectangle the sides of which are 94 '28 and 6720 yards.
Página 89 - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.
Página 158 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.