Elements of Trigonometry with Logarithmic and Other Tables |
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Elements of Trigonometry with Logarithmic and Other Tables Henry Hunt Ludlow No preview available - 2019 |
Elements of Trigonometry: With Logarithmic and Other Tables (Classic Reprint) Henry H. Ludlow No preview available - 2018 |
Common terms and phrases
a. c. log A+B+C algebraic anan angle increases c. d. Log changes its sign chord circle column common logarithm computed Construct both positive corresponding cos² cos³ cosec cosine cot a cot cotangent coversine decreases denoting any angle determine distance changes draw equal equations Examples expressed face-angle final side following angles formulas given angle giving hedral Hence horizontal inan inanan initial side intersect less than 360 log cot log vers longitude mantissa metres Negative Angles oblique dihedral perpendicular positive angles less quadrant radians radius reduce right angle right line right triangle right trihedral secant sin a sin sin ẞ sin² sin³ solution solve the tri solve the trihedral species spherical triangle Square Root subtending arc supplementary angles tangent line trigonometric functions unity versed-sine versine vertex ΙΟ ΙΟΙ
Popular passages
Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 2 - ... is customary to write them in the form of decimal fractions. The integral part is called the Characteristic, and the fractional part the Mantissa. The characteristic can always be told by a simple inspection of the number itself; hence only the mantissa is commonly given in the table. 5. Prop. — The characteristic of the common logarithm of any number greater than unity, is one less than the number of integral figures in the given number. ILL. The logarithm of 4685 is more than 3, because 10'...
Page 98 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.
Page 100 - The sum of any two sides of a plane triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 95 - The length of the projection of a limited line upon a plane, is equal to the length of the line multiplied by the cosine of the acute angle which it forms with the plane.
Page 63 - ... to the tangent of half their difference. Let AB, AC be two arcs of a circle ABCD ; let E be the centre, and AEG the diameter which passes through A ; sin. AC+sin. AB : sin. AC —sin. AB : : tan.
Page 96 - An angle of elevation, is a vertical angle having one of its sides horizontal, and the inclined side above the horizontal side.
Page 158 - sin В sin C' sin С sin A cos a = cos b cos с + sin 6 sin с cos A, with similar formulae for cos b and cos c. cos A = — cos В cos С + sin В sin С cos a, with similar formulae for cos В and cos C.
Page 108 - CASE II. Given two sides and an angle opposite one of them, to find the remaining parts.
Page 156 - They may cut each other, having two points common, when the distance between the centers is less than the sum and greater than the difference of the radii.