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UBC Theses and Dissertations

A procedural approach to constructions in euclidean geometry Funt, Brian V.

Abstract

A problem solving program capable of handling high school level Euclidean geometry straight-edge and compass constructions has been written. Figures are constructed by discovering, for the points composing them, the loci which satisfy the given sets of constraints. The representation of geometric knowledge is procedural. The relation to theorem proving in geometry, and aspects of the language PLANNER, which was used in the implementation of the program, are discussed.

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