Elementary Mathematical Analysis: A Text Book for First Year College StudentsMcGraw-Hill book Company, Incorporated, 1914 - 490 páginas |
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Términos y frases comunes
abscissa algebraic amplitude arithmetical arithmetical progression axes called circle common logarithm complex number compound interest computation constant construction coördinate paper corresponding cos² cosine cubic parabola cubic yard curve decimal diagram diameter distance divided double scale draw drawn ellipse equal Exercises exponential exponential function expression factor feet Find the equation formula geometrical progression given graph graphically harmonic Hence horizontal hyperbola inches latus rectum length locus logarithms magnitude means measured motion multiplied negative ordinates P₁ parabola parametric equations perpendicular plane polar coördinates polar equation positive power function quadrant radians ratio rectangles rectangular coördinates represented rotation Show side sin² sine sinusoid slide rule slope Solve squared paper straight line student substituting tangent theorem tion trigonometric trigonometric functions unit variable velocity vertical wave x-axis Y-axis y₁ zero ΙΟ
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Página 281 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Página 110 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Página 281 - 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 by the projection of the other upon that side.
Página 207 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 281 - 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 xiv - Again, the area of a circle is a function of its radius ; the distance a train runs is a function of the time and speed.
Página 367 - The locus of a point whose distance from a fixed point is in a constant ratio to its distance from a fixed straight line, measured parallel to a fixed plane, is a surface of the second degree.
Página 357 - A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line called a directrix.
Página 110 - From the top of a vertical cliff, the angle of depression of a point on the shore 150 feet from the base of the cliff, is observed to be 30° : find the height of the cliff.
Página 203 - The logarithm of any number is the exponent of the power to which 10 must be raised to produce the number.