
A Collection of Problems in Analytical Geometry
Three-Dimensional Analytical Geometry
- 166 pages
- English
- PDF
- Available on iOS & Android
A Collection of Problems in Analytical Geometry
Three-Dimensional Analytical Geometry
About this book
A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.
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Information
Table of contents
- Front Cover
- Three-Dimensional Analytical Geometry
- Copyright Page
- Table of Contents
- Author's Preface to the First Russian Edition
- Author's Preface to the Second Russian Edition
- PART II: THREE-DIMENSIONAL ANALYTICAL GEOMETRY
- APPENDIX: ELEMENTS OF THE THEORY OF DETERMINANTS
- ANSWERS TO QUESTIONS AND NOTES ON SOLUTIONS