Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 30
... . A rectangle has a base 9.5 in . long , and the diagonal makes an angle of 4.5 ° with the base . Find the height of the rectangle and the length of the diagonal . 27. Interpolation . So long as we wish to find 30 PLANE TRIGONOMETRY.
... . A rectangle has a base 9.5 in . long , and the diagonal makes an angle of 4.5 ° with the base . Find the height of the rectangle and the length of the diagonal . 27. Interpolation . So long as we wish to find 30 PLANE TRIGONOMETRY.
Página 31
... interpolation . Briefly expressed , in the process of interpolation we assume that sin 421 ° is found by adding to sin 42 ° half the difference between sin 42 ° and sin 43 ° . In general it is evident that this is not true . For example ...
... interpolation . Briefly expressed , in the process of interpolation we assume that sin 421 ° is found by adding to sin 42 ° half the difference between sin 42 ° and sin 43 ° . In general it is evident that this is not true . For example ...
Página 32
George Wentworth, David Eugene Smith. 28. Interpolation Applied . The following examples will illustrate the cases ... interpolate in a similar manner when we use a decimal table . Exercise 16. Use of the Table Find the values of 32 PLANE ...
George Wentworth, David Eugene Smith. 28. Interpolation Applied . The following examples will illustrate the cases ... interpolate in a similar manner when we use a decimal table . Exercise 16. Use of the Table Find the values of 32 PLANE ...
Página 46
... interpolation , as explained in § 27 . For example , to find log 25,314 we have log 25,320 == 4.40346 log 25,310 Tabular difference = = 4.40329 0.00017 .4 0.000068 Difference to be added : www 0.00007 Adding this to 4.40329 , log 25314 ...
... interpolation , as explained in § 27 . For example , to find log 25,314 we have log 25,320 == 4.40346 log 25,310 Tabular difference = = 4.40329 0.00017 .4 0.000068 Difference to be added : www 0.00007 Adding this to 4.40329 , log 25314 ...
Página 48
... interpolation gives only one additional figure correct ; that is , with a table like the one above , the sixth figure will not be correct if found by interpolation . Exercise 21. Antilogarithms Find the antilogarithms of the following ...
... interpolation gives only one additional figure correct ; that is , with a table like the one above , the sixth figure will not be correct if found by interpolation . Exercise 21. Antilogarithms Find the antilogarithms of the following ...
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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).