Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 15
... regular decagon in- scribed in a circle of radius 7 ft . What is the central angle ? What is half of this angle ? Find BC and double it . By this plan we can find the perimeter of any inscribed regular polygon , given the radius of the ...
... regular decagon in- scribed in a circle of radius 7 ft . What is the central angle ? What is half of this angle ? Find BC and double it . By this plan we can find the perimeter of any inscribed regular polygon , given the radius of the ...
Página 17
... regular hexagon is inscribed in a circle of radius 9 in . How far is it from the center to a side ? Having found this distance , the apothem , and knowing that a side of the regular hexagon equals the radius , we can find the area , as ...
... regular hexagon is inscribed in a circle of radius 9 in . How far is it from the center to a side ? Having found this distance , the apothem , and knowing that a side of the regular hexagon equals the radius , we can find the area , as ...
Página 24
... regular deca- gon inscribed in a unit circle . Given x and y , x + y being less than 90 ° , construct a line equal to 17. sin ( xy ) - sin x . 18. tan ( x + y ) — tan x . - - 19. sec ( xy ) - sec x . 23. tan ( x + y ) 20. cos x 21. cot ...
... regular deca- gon inscribed in a unit circle . Given x and y , x + y being less than 90 ° , construct a line equal to 17. sin ( xy ) - sin x . 18. tan ( x + y ) — tan x . - - 19. sec ( xy ) - sec x . 23. tan ( x + y ) 20. cos x 21. cot ...
Página 71
... tangent of the angle of the slope of an A - roof of a building which is 24 ft . 6 in . wide at the eaves , the ridgepole being 10 ft . 9 in . above the eaves . 70. The Regular Polygon . We have already considered a THE RIGHT TRIANGLE 71.
... tangent of the angle of the slope of an A - roof of a building which is 24 ft . 6 in . wide at the eaves , the ridgepole being 10 ft . 9 in . above the eaves . 70. The Regular Polygon . We have already considered a THE RIGHT TRIANGLE 71.
Página 72
... regular polygon . It is evident from geometry that if the polygon shown below has n sides , the angle of the right ... Regular Polygon Find the remaining parts of a regular polygon , given : 1. n = 10 , c = = 1 . 3. n = 20 , r = 20 . 2 ...
... regular polygon . It is evident from geometry that if the polygon shown below has n sides , the angle of the right ... Regular Polygon Find the remaining parts of a regular polygon , given : 1. n = 10 , c = = 1 . 3. n = 20 , r = 20 . 2 ...
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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).