Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 3
... diameter , and the volume of a pyramid is a function of the base and altitude . We indicate a function of a by such symbols as ƒ ( x ) , F ( x ) , ƒ ' ( x ) , and ( r ) , and we read these " f of x , f - major of x , f - prime of x ...
... diameter , and the volume of a pyramid is a function of the base and altitude . We indicate a function of a by such symbols as ƒ ( x ) , F ( x ) , ƒ ' ( x ) , and ( r ) , and we read these " f of x , f - major of x , f - prime of x ...
Página 19
... diameter of a one - cent piece is in . If the coin is held so that it subtends an angle of 40 ° at the eye , what is its distance from the eye ? 19. Practical Use of the Cotangent . Since by definition FUNCTIONS OF ACUTE ANGLES 19.
... diameter of a one - cent piece is in . If the coin is held so that it subtends an angle of 40 ° at the eye , what is its distance from the eye ? 19. Practical Use of the Cotangent . Since by definition FUNCTIONS OF ACUTE ANGLES 19.
Página 38
... diameter with which it makes an angle of 10 ° 20 ' ? 45. Two circles of radii 10 in . and 14 in . are externally tangent . What angle does their line of centers make with their common exterior tangent ? CHAPTER III LOGARITHMS 36 ...
... diameter with which it makes an angle of 10 ° 20 ' ? 45. Two circles of radii 10 in . and 14 in . are externally tangent . What angle does their line of centers make with their common exterior tangent ? CHAPTER III LOGARITHMS 36 ...
Página 50
... diameter , find the circumference of a steel shaft of diameter 5.8 in . 32. Taking the ratio of the circumference to the diameter as given in Ex . 31 , find the circumference of a water tank of diameter 36 ft . Using logarithms , find ...
... diameter , find the circumference of a steel shaft of diameter 5.8 in . 32. Taking the ratio of the circumference to the diameter as given in Ex . 31 , find the circumference of a water tank of diameter 36 ft . Using logarithms , find ...
Página 53
... diameters of circles with circumferences as follows : 51. 62.832 . 52. 157.08 . 53. 2199.12 . 54. 2513.28 . 55. 28,274.2 . 57. 376,992 . 56. 34,557.6 . 58. 0.031416 . 59. By using logarithms find the product of 41.74 × 20.87 , and the ...
... diameters of circles with circumferences as follows : 51. 62.832 . 52. 157.08 . 53. 2199.12 . 54. 2513.28 . 55. 28,274.2 . 57. 376,992 . 56. 34,557.6 . 58. 0.031416 . 59. By using logarithms find the product of 41.74 × 20.87 , and the ...
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Plane and Spherical Trigonometry, and Surveying G. A. (George Albert) 1835-1 Wentworth Sin vista previa disponible - 2015 |
Términos y frases comunes
9 log acute angle angle of depression angle of elevation characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cot log cotangent cotx decimal places degrees Dividing equal equation example Exercise Find log Find the area Find the distance Find the height Find the length Find the value given the following graph Hence horizontal hypotenuse included angle interpolation latitude Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa negative perpendicular polygon positive quadrant radians radius right angle right spherical triangle right triangle roots secant secx sexagesimal ship sails sides sin B sin sin log cos sin(x sin² solution solve the triangle spherical triangle subtends subtract tabular difference tangent triangle ABC whence
Pasajes populares
Página 109 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 98 - I sin y \2 / \2 / = sin x cos y + cos x sin y, sin (a; — y) = sin (x + (— y)) = sin a; cos (— y) + cos a; sin (— y) = sin x cos y — cos x sin y, tan (x + y) = sin (x + y) sin x cos y + cos x...
Página 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 44 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 50 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 57 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 116 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Página 112 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
Página 128 - Prove that the area of a parallelogram is equal to the product of the base, the diagonal, and the sine of the angle included by them.
Página 151 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).