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Precize SOLID GEOMETRY (P.U.)

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The book is strictly in accordance with the latest syllabus of the Panjab University, Chandigarh. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter.

Description

Transformation of Axes : Shifting of origin and rotation of axes.

Sphere : Section of a sphere and a plane, spheres through a given circle, intersection of a line and a sphere, tangent line, tangent plane, angle of intersection of two spheres and condition of orthogonality, power of a point w.r.t. a sphere, radical axis , radical center, co-axial family of   spheres, limiting points.

Cylinder : Cylinder as a surface generated by a line moving parallel to a fixed line and through a fixed curve, different kinds of cylinders such as right circular, elliptic, parabolic and hyperbolic cylinders in standard forms, enveloping cylinders.

Cone : Cone with a vertex at the origin as the graph of a homogeneous equation of second degree in x, y, z, cone as a surface generated by a line passing through a fixed curve and a fixed point outside the plane of the curve, reciprocal cones, right circular and elliptic cones, right circular cone as a surface of revolution obtained by rotating the curve in a plane about an axis, enveloping cones.

Conicoid : Equations of ellipsoid, hyperboloid and paraboloid in standard form. Reduction of second degree equation in three variables in standard form.

Additional information

ISBN

9789382295204

Binding

Paperback

Language

English

Year of Publication

2020

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