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Solid Geometry with MATLAB Programming / / Nita H. Shah and Falguni S. Acharya
| Solid Geometry with MATLAB Programming / / Nita H. Shah and Falguni S. Acharya |
| Autore | Shah Nita H. |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Gistrup, Denmark : , : River Publishers, , 2023 |
| Descrizione fisica | 1 online resource (242 pages) |
| Disciplina | 516.230285536 |
| Collana | River Publisher series in mathematical, statistical and computational modelling for engineering |
| Soggetto topico | Geometry, Solid |
| ISBN |
9781000824148
1000824144 9781003360681 1003360688 9781000824124 1000824128 9788770227605 8770227608 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover -- Solid Geometry with MATLAB Programming -- Contents -- Preface -- 1 Plane -- 1.1 Definition -- 1.2 General Equation of the First Degree in x, y, z Represents a Plane -- 1.3 Transformation of General form to Normal Form -- 1.4 Direction Cosines of the Normal to a Plane -- 1.5 Equation of a Plane Passing through a Given Point -- 1.6 Equation of the Plane in Intercept Form -- 1.7 Reduction of the General Equation of the Plane to the Intercept Form -- 1.8 Equation of a Plane Passing through three Points -- 1.9 Equation of any Plane Parallel to a Given Plane -- 1.10 Equation of Plane Passing through the Intersection of Two Given Planes -- 1.11 Equation of the Plane Passing through the Intersection -- 1.12 Angle between Two Planes -- 1.13 Position of the Origin w.r.t. the Angle between Two Planes -- 1.14 Two Sides of a Plane -- 1.15 Length of the Perpendicular from a Point to a Plane -- 1.16 Bisectors of Angles between Two Planes -- 1.17 Pair of Planes -- 1.18 Orthogonal Projection on a Plane -- 1.19 Volume of a Tetrahedron -- Exercise -- 2 Straight Line -- 2.1 Representation of Line (Introduction) -- 2.2 Equation of a Straight Line in the Symmetrical Form -- 2.3 Equation of a Straight Line Passing through Two Points -- 2.4 Transformation from the Unsymmetrical to the Symmetrical Form -- 2.5 Angle between a Line and a Plane -- 2.6 Point of Intersection of a Line and a Plane -- 2.7 Conditions for a Line to Lie in a Plane -- 2.8 Condition of Coplanarity of Two Straight Lines -- 2.9 Skew Lines and the Shortest Distance between Two Lines -- 2.10 Equation of Two Skew Lines in Symmetric Form -- 2.11 Intersection of Three Planes -- Exercise -- 3 Sphere -- 3.1 Definition -- 3.2 Equation of Sphere in Vector Form -- 3.3 General Equation of the Sphere -- 3.4 Equation of Sphere Whose End-Points of a Diameter are Given.
3.5 Equation of a Sphere Passing through the Four Points -- 3.6 Section of the Sphere by a Plane -- 3.7 Intersection of Two Spheres -- 3.8 Intersection of Sphere S and Line L -- 3.9 Tangent Plane -- 3.10 Equation of the Normal to the Sphere -- 3.11 Orthogonal Sphere -- Exercise -- 4 Cone -- 4.1 Definition -- 4.2 Equation of a Cone with a Conic as Guiding Curve -- 4.3 Enveloping Cone to a Surface -- 4.4 Equation of the Cone whose Vertex is the Origin is Homogeneous -- 4.5 Intersection of a Line with a Cone -- 4.6 Equation of a Tangent Plane at (a, b, r) to the Cone with Vertex Origin -- 4.7 Conditions for Tangency -- 4.8 Right Circular Cone -- Exercise -- 5 Cylinder -- 5.1 Definition -- 5.2 Equation of the Cylinder whose Generators Intersect the Given Conic -- 5.3 Enveloping Cylinder -- 5.4 Right Circular Cylinder -- Exercise -- 6 Central Conicoid -- 6.1 Definition -- 6.2 Intersection of a Line with the Central Conicoid -- 6.3 Tangent Lines and Tangent Plane at a Point -- 6.4 Condition of Tangency -- 6.5 Normal to Central Conicoid -- 6.6 Plane of Contact -- 6.7 Polar Plane of a Point -- Exercise -- 7 Miscellaneous Examples using MATLAB -- Index -- About the Authors -- Back Cover. |
| Record Nr. | UNINA-9910966836403321 |
Shah Nita H.
|
||
| Gistrup, Denmark : , : River Publishers, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Solid Geometry with MATLAB Programming
| Solid Geometry with MATLAB Programming |
| Autore | Shah Nita H |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Aalborg : , : River Publishers, , 2022 |
| Descrizione fisica | 1 online resource (242 pages) |
| Disciplina | 516.23 |
| Altri autori (Persone) | AcharyaFalguni S |
| Collana | Mathematical, Statistical and Computational Modelling for Engineering |
| Soggetto topico | Geometry, Solid |
| ISBN |
1-000-82414-4
1-00-336068-8 1-003-36068-8 1-000-82412-8 87-7022-760-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover -- Solid Geometry with MATLAB Programming -- Contents -- Preface -- 1 Plane -- 1.1 Definition -- 1.2 General Equation of the First Degree in x, y, z Represents a Plane -- 1.3 Transformation of General form to Normal Form -- 1.4 Direction Cosines of the Normal to a Plane -- 1.5 Equation of a Plane Passing through a Given Point -- 1.6 Equation of the Plane in Intercept Form -- 1.7 Reduction of the General Equation of the Plane to the Intercept Form -- 1.8 Equation of a Plane Passing through three Points -- 1.9 Equation of any Plane Parallel to a Given Plane -- 1.10 Equation of Plane Passing through the Intersection of Two Given Planes -- 1.11 Equation of the Plane Passing through the Intersection -- 1.12 Angle between Two Planes -- 1.13 Position of the Origin w.r.t. the Angle between Two Planes -- 1.14 Two Sides of a Plane -- 1.15 Length of the Perpendicular from a Point to a Plane -- 1.16 Bisectors of Angles between Two Planes -- 1.17 Pair of Planes -- 1.18 Orthogonal Projection on a Plane -- 1.19 Volume of a Tetrahedron -- Exercise -- 2 Straight Line -- 2.1 Representation of Line (Introduction) -- 2.2 Equation of a Straight Line in the Symmetrical Form -- 2.3 Equation of a Straight Line Passing through Two Points -- 2.4 Transformation from the Unsymmetrical to the Symmetrical Form -- 2.5 Angle between a Line and a Plane -- 2.6 Point of Intersection of a Line and a Plane -- 2.7 Conditions for a Line to Lie in a Plane -- 2.8 Condition of Coplanarity of Two Straight Lines -- 2.9 Skew Lines and the Shortest Distance between Two Lines -- 2.10 Equation of Two Skew Lines in Symmetric Form -- 2.11 Intersection of Three Planes -- Exercise -- 3 Sphere -- 3.1 Definition -- 3.2 Equation of Sphere in Vector Form -- 3.3 General Equation of the Sphere -- 3.4 Equation of Sphere Whose End-Points of a Diameter are Given.
3.5 Equation of a Sphere Passing through the Four Points -- 3.6 Section of the Sphere by a Plane -- 3.7 Intersection of Two Spheres -- 3.8 Intersection of Sphere S and Line L -- 3.9 Tangent Plane -- 3.10 Equation of the Normal to the Sphere -- 3.11 Orthogonal Sphere -- Exercise -- 4 Cone -- 4.1 Definition -- 4.2 Equation of a Cone with a Conic as Guiding Curve -- 4.3 Enveloping Cone to a Surface -- 4.4 Equation of the Cone whose Vertex is the Origin is Homogeneous -- 4.5 Intersection of a Line with a Cone -- 4.6 Equation of a Tangent Plane at (a, b, r) to the Cone with Vertex Origin -- 4.7 Conditions for Tangency -- 4.8 Right Circular Cone -- Exercise -- 5 Cylinder -- 5.1 Definition -- 5.2 Equation of the Cylinder whose Generators Intersect the Given Conic -- 5.3 Enveloping Cylinder -- 5.4 Right Circular Cylinder -- Exercise -- 6 Central Conicoid -- 6.1 Definition -- 6.2 Intersection of a Line with the Central Conicoid -- 6.3 Tangent Lines and Tangent Plane at a Point -- 6.4 Condition of Tangency -- 6.5 Normal to Central Conicoid -- 6.6 Plane of Contact -- 6.7 Polar Plane of a Point -- Exercise -- 7 Miscellaneous Examples using MATLAB -- Index -- About the Authors -- Back Cover. |
| Record Nr. | UNINA-9910838209503321 |
|
Shah Nita H
|
||
| Aalborg : , : River Publishers, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
