An Elementary Treatise on the Differential and Integral Calculus: With Examples and Applications |
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Common terms and phrases
a² b2 a²x² a²y Algebra angle approaches zero asymptote axis Binomial Theorem CHAPTER co-ordinates constant cubical parabola cylinder d²y d³y denominator denote derive differential coefficient dx dx dx dy dx dx x² dx² dx³ dy dx dy dy dy dy dz dz dx ellipse evolute exact differential example expression f(x+h Find the envelope find the equation find the value Formula fraction given curve Hence hyperbola hypocycloid increment independent variable integral intercepts limit MAXIMA AND MINIMA maximum value minimum moment of inertia numerator order of contact osculating circle plane point of inflexion sec² sec²x secx sin³ sinx Substituting subtangent suppose tangent tanx Taylor's Theorem Va² x² dx x²+1 x²dx ди ди дх მე მყ
Popular passages
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.