Introduction to the Elementary Functions

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Page 130 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Page 138 - PF'/PH'= e, by the definition of the curve. Furthermore :J (b) \PF—PF'\=2a. In fact, the hyperbola is often defined as the locus of a point which moves so that the difference of its distances from two fixed points is constant.
Page 138 - Find and classify the equation of the locus of a point which moves so that...
Page 114 - Parabola is the locus of a point whose distance from a fixed point is always equal to its distance from a fixed straight line.
Page 217 - The derivative of the product of two functions is equal to the first function times the derivative of the second plus the second times the derivative of the first. (4) The derivative of the quotient of two functions is equal to the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.
Page 4 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 192 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 96 - Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix.
Page 122 - 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.
Page 113 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.

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