Plane and solid analytic geometry, by William F. Osgood and William C. Graustein.

xvi

CONTENTS

ART.
6.
7.
8.

Angle between a Line and a Plane
Point of Intersection of a Line and a Plane.
Parametric Representation of a Curve.
Exercises on Chapter XX.

PAGE. 487. 488. 490. 494

CHAPTER XXI
THE PLANE AND THE STRAIGHT LINE. ADVANCED
METHODS
1. Linear Combination of Two Planes..
2. Three Planes through a Line. Three Points on a Line
3. Line in a Plane....
4. Four Points in a Plane. Four Planes through a Point
5. Two Intersecting Lines...
6. Distance of a Point from a Line. Distance between Two
Lines....
7. Area of a Triangle. Volume of a Tetrahedron
Exercises on Chapter XXI...

498
504
506
507
512
514
516
519

CHAPTER XXII
SPHERES, CYLINDERS, CONES. SURFACES OF
REVOLUTION

1. Equation of the Sphere
2. General Form of the Equation
3. Sphere through Four Points.
4. Tangent Plane to a Sphere
5. The Circle.
6. Cylinders
7. Cones...
8. Surfaces of Revolution.
Exercises on Chapter XXII.. 523. 524. 526. 527. 529.532.536.540. 544

CHAPTER XXIII
QUADRIC SURFACES

1. The Ellipsoid
2. The Hyperboloids
3. The Paraboloids.
4. Rulings.548.550.553.555