Coordinate Geometry

Author: Luther Pfahler Eisenhart

Publisher: Courier Corporation

ISBN: 0486442616

Category: Mathematics

Page: 298

View: 9133

A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.

Coordinate Geometry

Polar Coordinates Approach

Author: Mukut Mani Tripathi

Publisher: Alpha Science Int'l Ltd.

ISBN: 9781842652251

Category: Mathematics

Page: 149

View: 9677

Presents a systematic study of straight lines, circles and conics by using the powerful tool of polar coordinates. This book contains sufficient number of solved examples and problems, placed in an appropriate order, to help understand the concepts and techniques.

Coordinate Geometry

Author: Henry Burchard Fine,Henry Dallas Thompson

Publisher: N.A


Category: Geometry, Analytic

Page: 300

View: 5053


Coordinate Geometry of Two Dimensions

Author: Hari Kishan

Publisher: Atlantic Publishers & Dist

ISBN: 9788126906048

Category: Coordinates

Page: 138

View: 8556

The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.

Coordinate Geometry - Illustrated

Author: Henry Burchard Fine,Henry Dallas Thompson

Publisher: Merchant Books

ISBN: 9781933998527

Category: Mathematics

Page: 336

View: 8414

COORDINATE GEOMETRY IN A PLANE: Coordinates - The Straight Line - The Circle - The Parabola - The Ellipse - The Hyperbola - Transformation Of Coordinates - The General Equation Of The Second Degree - Sections Of A Cone - Systems Of Conics - Tangents And Polars Of The Conic - Polar Coordinates - Equations And Graphics Of Certain Curves - Problems On Loci - COORDINATE GEOMETRY IN SPACE: Coordinates And Direction Cosines - Planes And Straight Lines - The Shape Of Conicoids - Confocals - Polar Coordinates - Transformation Of Coordinates - General Equation Of The Second Degree - Certain Algebraic Symbols, Definitions, And Theorems - Certain Trigonometric Definitions And Formulas - Derivatives And Partial Derivatives - Four-Place Logarithms From 1.0 To 9.9 - Radians And Natural Trigonometric Functions For Intervals Of Five Degrees - Greek Alphabet

Vectors and Coordinate Geometry

Author: Vladimir Serdarushich

Publisher: Createspace Independent Publishing Platform

ISBN: 9781523688661


Page: 184

View: 2028

vectors in plane and space, length of vector, magnitude of vector, collinear vectors, opposite vectors, coplanar vectors, addition of vectors, triangle rule and parallelogram rule, zero or null vector, subtraction of vectors, scalar multiplication, multiplication of vector by scalar, unit vector, linear combination of vectors, linear dependence of vectors, vectors and coordinate system , Cartesian vectors, vectors in coordinate plane, vectors two dimensional system of coordinates, radius vector, position vector, vector components, vectors in two-dimensional system examples, vectors in three-dimensional space in terms of Cartesian coordinates, angles of vectors in relation to coordinate axes, directional cosines, scalar components of vector, unit vector of vector, vectors in three-dimensional coordinate system examples, scalar product, dot product, inner product, perpendicularity of vectors, different position of two vectors, values of scalar product, square of magnitude of vector, scalar product of unit vector, scalar or dot product properties, scalar product in coordinate system, angle between vectors in coordinate plane, projection of vector in direction of another vector, scalar and vector components, vector product or cross product, vector product, right-handed system, example of vector product in physics, condition for two vectors to be parallel, condition for two vectors to be perpendicular, vector products of standard unit vectors, vector product in component form, mixed product or scalar triple product definition, mixed product properties, condition for three vectors to be coplanar, mixed product, scalar triple product, mixed product expressed in terms of components, vector product and mixed product use examples,coordinate geometry, points lines and planes in three-dimensional coordinate system represented by vectors, points lines and planes in three-dimensional space, position of two lines in 3D space, coplanar lines, skew lines, line and plane in three-dimensional space, two planes in three-dimensional space, line of intersection of two planes, orthogonality of line and plane and, orthogonal projection of point on plane, distance from point to plane, angle between line and plane, angle between two planes, line in three-dimensional coordinate system, equation of line in space, vector equation of line, parametric equation of line, equation of line defined by direction vector and point, symmetric equation of line, distance between two points, orthogonal projection of line in space on xy coordinate plane, line in 3D space examples, angle between lines, condition for intersection of two lines in 3D space, equations of plane in coordinate space, equations of plane in 3D coordinate system, intercept form of equation of plane, equation of plane through three points, distance between point and plane, angle between two planes, line and plane in space, line of intersection of two planes, projection of line on coordinate planes, two planes of which given line is their intersection, intersection point of line and plane, sheaf or pencil of planes, angle between line and plane, orthogonal projections, point line and plane distances, condition for line and plane to be perpendicular, line perpendicular to given plane, plane perpendicular to given line, projection of point on plane in space, projection of point on line in space, line perpendicular to given line, plane parallel with two skew lines, plane parallel with two parallel lines, distance between point and line in 3D space, distance between point and plane in space example, distance between parallel lines, distance between skew lines,