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Elementary Mathematical Analysis: A Text Book for First Year College Students
Charles Sumner Slichter
Visualitzaciķ completa - 1914
abscissa amplitude arithmetical arithmetical mean arithmetical progression axis called circle colog common logarithm complex number computation constant construction coordinate paper corresponding cos2 cosine cubic parabola cubic yard cycloid decimal diagram diameter distance divided division double scale drawn ellipse equal Exercises exponential expression factor feet Find the equation formula fractional geometrical progression given graph graphically harmonics Hence horizontal hyperbola inches inches of mercury intersection intervals latus rectum length locus logarithm magnitude means motion multiplied negative operation ordinates parabola parametric equations perpendicular plane polar coordinates polar equation positive power function quadrant radians radius vector ratio rectangles rectangular coordinates represented roots rotation seiche Show shown in Fig side sin2 sine sinusoid slope Solve straight line student substituting tangent theorem tion trigonometric functions unity variable velocity vertical wave Write the equation x-axis zero
Pāgina 303 - 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.
Pāgina 301 - 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.
Pāgina 372 - Hence the quotient of two complex numbers is a complex number whose modulus is the quotient of the moduli, and whose amplitude is the difference of the amplitudes of the two complex numbers.
Pāgina 227 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Pāgina 302 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Pāgina 406 - 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.
Pāgina 10 - ... function. A magnitude so related to another magnitude that for any value of one there is a corresponding value of the other. For instance, the area of a circle is a function of its radius. The radius is also a function of the area. functional reserves. The ability of the body to accomplish additional muscular or other activity and useful work beyond the normal level of activity of an individual.
Pāgina 411 - Parabola is the locus of a point whose distance from a fixed point is always equal to its distance from a fixed straight line.