Titlebook: Automated Deduction in Geometry; Second International Xiao-Shan Gao,Dongming Wang,Lu Yang Conference proceedings 1999 Springer-Verlag Berli

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Hilary G. Morrison,Staffan Svärde famous Propositio Kepleriana or Kepler Problem. This is one of the key results of the Principia in which Newton demonstrates that the centripetal force acting on a body moving in an ellipse obeys an inverse square law. As with the previous work, the mechanisation is carried out through a combinati

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Lucy J. Robertson,Yvonne Ai Lian Lim is useful to education. There are several methods of readable machine solving, such as the logic method, points elimination method, geometry information searching system or deductive database method. Based on these methods, some new types of educational software have been developed. As an example,

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Ernest A. Meyer,Simona Radulescuectangles, circles, lines, parallelism, perpendicularity, area, orientation, inside and outside, similitudes, isometries, sine, cosine, .... It should be able to construct and transform geometric objects, to compute geometric quantities and to prove geometric theorems. It should be able to call upon

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Stanley L. Erlandsen,Ernest A. Meyertions in 2D and/or 3D Euclidean space with Clifford algebraic expression. Then we present some rules to simplify Clifford algebraic polynomials to the so-called final Clifford algebraic polynomials. The key step for proving the theorems is to check if a Clifford algebraic expression can be simplifie

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Ernest A. Meyer,Frank W. Schaefer IIIs. The key issue in this approach consists in verifying whether two Clifford expressions are equal. This paper is concerned with the generalization of the work to 3D geometric problems. A rewriting system is proposed and its theoretical properties are investigated. Some examples and potential applic

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Structure of the Trophozoite and Cystmetric entities, such as points, lines, planes, circles and spheres, with that of geometric constraints such as angles and distances, and is appropriate for both symbolic and numeric computations. Details on how to apply this model are provided and examples are given to illustrate the application.

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Stanley L. Erlandsen,Ernest A. Meyero decomposition methods for efficient decomposition of affine algebraic varieties into unmixed and irreducible components. Two devices based on Gröbner bases are presented for computing the generators of the saturated ideals of triangular sets. We also discuss a few techniques and variants which, wh

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Giardia as a Foodborne Pathogenomputation methods. We also show how to use these techniques in parametric mechanical CAD, linkage design, computer vision, dynamic geometry, and CAI (computer aided instruction). The methods and the applications reviewed in this paper are closely connected and could be appropriately named as engine