An associated result of the Van Aubel configuration and its generalization

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michael_associated_2022.pdf(271.19 KB)
Date
2022
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Taylor and Francis Group
Abstract
This note presents some novel generalizations to similar quadrilaterals, similar parallelograms, and similar triangles of a result associated with Van Aubel’s theorem about squares constructed on the sides of a quadrilateral. These results provide problem posing opportunities for interesting, challenging explorations for talented students using dynamic geometry at high school or for university students.
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The original publication is available at https://www.tandfonline.com/journals/tmes20
CITATION: De Villiers, M. 2022. An associated result of the Van Aubel configuration and its generalization. International Journal of Mathematical Education in Science and Technology 54(3):18 pages. doi.10.1080/0020739X.2022.2034064
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De Villiers M. 2022. An associated result of the Van Aubel configuration and its generalization. International Journal of Mathematical Education in Science and Technology 54(3):18 pages. doi.10.1080/0020739X.2022.2034064
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https://scholar.sun.ac.za/handle/10019.1/127443
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Research Articles (Curriculum Studies)