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FOUR-DIMENSIONAL DESCRIPTIVE GEOMETRY METRIC PROBLEMS: ANGLES- DESCRIPTIVE SOLUTION

Ernesto S. Lindgren, C. Ernesto S. Lindgren

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Abstract

Abstract : The paper presents the descriptive geometry solution of the determination of the angles between geometric elements in a four-dimensional euclidean space. Incorporated in these solutions are the discussions of some problems of intersections between two geometric elements. These are: intersection of a line and a plane, belonging to the same 3-D space; intersection of two planes belonging to distinct 3-D spaces; intersection of a line and a 3-D space; intersection of a plane and a 3-D space.

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What this paper is about

Abstract : The paper presents the descriptive geometry solution of the determination of the angles between geometric elements in a four-dimensional euclidean space. Incorporated in these solutions are the discussions of some problems of intersections between two geometric elements. These are: intersection of a line and a plane, belonging to the same 3-D space; intersection of two planes belonging to distinct 3-D spaces; intersection of a line and a 3-D space; intersection of a plane and a 3-D space.

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Available abstract

Abstract : The paper presents the descriptive geometry solution of the determination of the angles between geometric elements in a four-dimensional euclidean space. Incorporated in these solutions are the discussions of some problems of intersections between two geometric elements. These are: intersection of a line and a plane, belonging to the same 3-D space; intersection of two planes belonging to distinct 3-D spaces; intersection of a line and a 3-D space; intersection of a plane and a 3-D space.

Key concepts: Descriptive geometry, Geometry, Metric (unit), Mathematics, Descriptive statistics, Computer science, Statistics, Engineering

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