Logarithmic and Trigonometric TablesHerbert Ellsworth Slaught Allyn and Bacon, 1914 - 97 lappuses |
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Bieži izmantoti vārdi un frāzes
A₁ acute angle addition and subtraction angle of elevation B₁ calculation cardinal angle characteristic colog cologarithm compute Consequently constructed coördinates cos² cosecant cotangent decimal places decimal point definitions denote directed line-segment displacement equations example EXERCISE expressed fact feet Find log Find the angles formulæ fraction given graphic horizontal plane inches inscribed circle integer law of cosines law of sines law of tangents length loga logarithms magnitude mantissa means measure method Mollweide's equations negative observer obtained obtuse angle perpendicular positive number problem quadrant quantities quotient radians radius ratios respectively result right angle right member right triangle scale Show simple harmonic motion sin² sine and cosine slide rule solution solve standard position subtended terminal side theorem tion triangle ABC trigonometric functions unit values vertical x-axis
Populāri fragmenti
85. lappuse - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other upon that side.
44. lappuse - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
83. lappuse - ... in such a way as to reduce to a minimum the number of formulae and theorems which must be remembered.
44. lappuse - The logarithm of a product is equal to the sum of the logarithms of its factors.
50. lappuse - In general, since any number having n digits in its integral part lies between 10n-1 and 10", its logarithm lies between n - 1 and n, ie, is n - 1 + a decimal. We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the decimal point lies between 10° and 10-1, it follows from table (&) that...
85. lappuse - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
84. lappuse - These formulae contain the so-called law of sines, which may be expressed in words as follows : any two sides of a triangle are to each other as the sines of the opposite angles.
101. lappuse - Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given.
44. lappuse - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
78. lappuse - ... stands, the angles of elevation of the top and bottom of the flagstaff are observed to be 60° and 45° respectively : find the height of the house above the point of observation.