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Optimum method to obtain intersection of two general positions intersecting quadric surfaces

Rui Zhou

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Abstract

One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces. Among the various methods of drawing the intersections in advanced descriptive geometry theories, there are many limitations and complexities for different exercises at different degrees, and the transfixion of two general position solids made of curved surface in particular. Based on the В О ГОРДОН drawing principle, this paper discusses and optimal method for drawing, through utilizing the feasibility of drawing points on various intersections and the advantages of using trace lines and trace surface to draw an auxiliary trace line and surface at the required position.

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One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces. Among the various methods of drawing the intersections in advanced descriptive geometry theories, there are many limitations and complexities for different exercises at different degrees, and the transfixion of two general position solids made of curved surface in particular. Based on the В О ГОРДОН drawing principle, this paper discusses and optimal method for drawing, through utilizing the feasibility of drawing points on various intersections and the advantages of using trace lines and trace surface to draw an auxiliary trace line and surface at the required position.

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Available abstract

One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces. Among the various methods of drawing the intersections in advanced descriptive geometry theories, there are many limitations and complexities for different exercises at different degrees, and the transfixion of two general position solids made of curved surface in particular. Based on the В О ГОРДОН drawing principle, this paper discusses and optimal method for drawing, through utilizing the feasibility of drawing points on various intersections and the advantages of using trace lines and trace surface to draw an auxiliary trace line and surface at the required position.

Key concepts: Quadric, Descriptive geometry, Intersection (aeronautics), TRACE (psycholinguistics), Position (finance), Surface (topology), Line (geometry), Geometry

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