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» Proof and Computation in Geometry
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SAC
2010
ACM
12 years 11 months ago
Similar triangles and orientation in plane elementary geometry for Coq-based proofs
In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
Tuan Minh Pham
DIAGRAMS
2000
Springer
13 years 8 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller
AIED
2005
Springer
13 years 10 months ago
Advanced Geometry Tutor: An intelligent tutor that teaches proof-writing with construction
: Two problem solving strategies, forward chaining and backward chaining, were compared to see how they affect students’ learning of geometry theorem proving with construction. I...
Noboru Matsuda, Kurt VanLehn
CAD
2005
Springer
13 years 4 months ago
Configurable product views based on geometry user requirements
This paper describes an approach at Volvo Truck Corporation where geometry users' requirements are utilised to define configurable product views. The paper is derived from a ...
Freddy Fuxin
COMPGEOM
2009
ACM
13 years 11 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy