Analytic Geometry and Calculus

Front Cover
Ginn, 1917 - Calculus - 516 pages
0 Reviews
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Center of pressure
277
Center of gravity
278
Attraction
283
Problems
285
SPACE GEOMETRY 139 Functions of more than one variable
300
Rectangular coordinates
301
Cylinders
303
Other surfaces
304
Surfaces of revolution
309
Projection
310
Components of a directed straight line
312
Distance between two points
313
Direction cosines
314
Angle between two straight lines
315
Direction of the normal to a plane
316
Equations of a straight line 817
317
direction
318
Determination of the direction cosines of a straight line
319
Distance of a point from a plane
320
Problems on the plane and the straight line
321
Article Page 159 Space curves
322
Direction of space curve and element of arc
324
Tangent line and normal plane
326
PARTIAL DIFFERENTIATION 162 Partial derivatives
335
Higher partial derivatives
338
Increment and differential of a function of two variables
339
Extension to three or more variables
342
Directional derivative of a function of two variables
343
Total derivative of z with respect to a
344
The tangent plane
345
Maxima and minima
348
Exact differentials
349
Line integrals
353
Differentiation of composite functions
357
Problems
361
MULTIPLE INTEGRALS 173 Double integral with constant limits
369
Double integral with variable limits
371
Computation of a double integral
373
Double integral in polar coordinates
374
Area bounded by a plane curve
376
Moment of inertia of a plane area
377
Center of gravity of plane areas
379
Area of any surface
381
Triple integrals
385
Change of coordinates
388
Volume
389
Moment of inertia of a solid
390
Center of gravity of a solid
392
Attraction
393
Problems
394
INFINITE SERIES 187 Convergence
405
The comparison test for convergence
406
The ratio test for convergence
407
Article Page
409
DIFFERENTIAL EQUATIONS
438
Answers
481
Index
514

Other editions - View all

Common terms and phrases

Popular passages

Page 252 - Q(x) to obtain a quotient (polynomial of the form g. ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Page 69 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...
Page 101 - A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant.
Page 463 - The general solution is the sum of the complementary function and the particular integral.
Page 396 - Find the moment of inertia of the area of a circle of radius a about an axis perpendicular to the plane of the circle at any point on its circumference.
Page 101 - 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 187 - A rectangular box with a square base and open at the top is to be made out of a given amount of material.
Page 383 - C". Ex. 1. Find the area of an octant of a sphere of \ radius a. If the center of the sphere is taken as the origin of coordinates (fig.
Page 315 - It is a very important fact that the sum of the squares of the direction cosines of any straight line is unity.
Page 101 - A point moves so that the square of its distance from the base of an isosceles triangle is equal to the product of its distances from the other two sides. Show that the locus is a circle. 50. Prove that the two circles z2 + y2 + 2 G,z + 2 Ftf + Cj = 0 and x2 + y...

Bibliographic information