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Change and Invariance in Geometric Shapes

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Abstract

In Chapter 5 we dealt with, among other things, discovering the invariance that exists in mathematical statements. The earliest mathematical deductive theory originated in Euclidean geometry and was expounded on in Euclid’s famous book, Elements. Each theorem in Euclidean geometry applies to a set of specific geometric objects, the properties of which are expressed using some aspect of invariance: in other words, when moving from one figure to another in the same set, the property will remain invariant.

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Sinitsky, I., Ilany, BS. (2016). Change and Invariance in Geometric Shapes. In: Change and Invariance. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6300-699-6_6

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  • DOI: https://doi.org/10.1007/978-94-6300-699-6_6

  • Publisher Name: SensePublishers, Rotterdam

  • Online ISBN: 978-94-6300-699-6

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