## Elements of the Integral Calculus: With a Key to the Solution of Differential Equatons, and A Short Table of Integrals |

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### Innhold

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### Andre utgaver - Vis alle

Elements of the Integral Calculus: With a Key to the Solution of ... William Elwood Byerly Uten tilgangsbegrensning - 1892 |

Elements of the Integral Calculus: With a Key to the Solution of ... William Elwood Byerly Uten tilgangsbegrensning - 1882 |

### Vanlige uttrykk og setninger

actual algebraic angle approaches approaches zero axis base become body called centre CHAPTER circle consider constant continuous coördinates course curvature curve cycloid decreasing definite derivative determine developed difference differential direction distance dividing earth easily equal equation evidently evolute EXAMPLES expression falling feet figure fixed force formulas fraction function Geometry given gives greater hence increases indefinitely independent variable infinitesimal instant integral length less limit maximum mean measured method minimum values moving multiplied nature negative normal obtained obviously parabola passing plane polygon positive problems Prove quantity question radius ratio regard relation represent respect result seen segment Show single sinx Substituting Suppose surface Take tangent Theorem tion true value variable velocity whole zero

### Populære avsnitt

Side 93 - The angle formed by a tangent and a chord is measured by half the intercepted arc.

Side 108 - ... inversely proportional to the square of the distance of the body from the centre of the earth.

Side 3 - A being merely a symbol for the word increment, and the expression Ax representing a single quantity. It is to be noted that as an increment is a difference, it may be either positive or negative. 5. If a variable which changes its value according to some law can be made to approach some fixed, constant value as nearly as we please, but can never become equal to it, the constant is called the limit of the variable under the circumstances in question.

Side 167 - If two right-angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...

Side 168 - EXAMPLE. Prove that a tangent to an hyperbola bisects the angle between the focal radii drawn to the point of contact. 168. To find the area of a segment of a parabola cut off by a line perpendicular to the axis. Compare the required area with the area of the circumscribing rectangle. We can regard the...