Originally published in 1934, this book starts at the subject's beginning, but also engages with profoundly more specialist concepts in the field of geometry.
Originally published in 1934, this book starts at the subject's beginning, but also engages with profoundly more specialist concepts in the field of geometry.
Preface 1. Cartesian coordinate-system 2. The straight line and plane 3. General homogeneous or projective coordinates 4. The sphere 5. The cone and cylinder 6. Types of surfaces of the second order 7. Elementary properties of quadric surfaces derived from their simplest equations 8. The reduction of the general equation of the second degree 9. Generating lines and parametric representation 10. Plane sections of a quadric 11. Tangential equations 12. Foci and focal properties 13. Linear systems of quadrics 14. Curves and developables 15. Invariants of a pair of quadrics 16. Line geometry 17. Algebraic surfaces Index.
Preface 1. Cartesian coordinate-system 2. The straight line and plane 3. General homogeneous or projective coordinates 4. The sphere 5. The cone and cylinder 6. Types of surfaces of the second order 7. Elementary properties of quadric surfaces derived from their simplest equations 8. The reduction of the general equation of the second degree 9. Generating lines and parametric representation 10. Plane sections of a quadric 11. Tangential equations 12. Foci and focal properties 13. Linear systems of quadrics 14. Curves and developables 15. Invariants of a pair of quadrics 16. Line geometry 17. Algebraic surfaces Index.
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