An Elementary Treatise on the Differential and Integral Calculus: With Examples and Applications

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Leach, Shewell, and Sanborn, 1891 - Calculus - 292 pages
 

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Page 276 - Cycloid. The cycloid is the curve described by a point in the circumference of a circle rolling in a straight line.
Page 186 - If the degree of the numerator is equal to or greater than that of the denominator, the fraction may be reduced to a mixed quantity by dividing the numerator by the denominator.
Page 162 - The lower corner of a leaf, whose width is a, is folded over so as just to reach the inner edge of the page : find the width of the part folded over when...
Page 254 - A rectangle moves from a fixed point, one side varying as the distance from the point, and the other as the square of this distance. At the distance of 20 feet the rectangle becomes a square of 3 feet.
Page 160 - A person being in a boat 3 miles from the nearest point of the beach, wishes to reach in the shortest time a place...
Page 255 - Two cylinders of equal altitude h have a circle of radius a, for their common upper base. Their lower bases are tangent to each other. Find the volume common to the two cylinders.
Page 280 - It is the curve described by a point in the circumference of a circle, while the circle itself rolls in a straight line along a plane.

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