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On the Medians of a Triangle in Hyperbolic Geometry

Published online by Cambridge University Press:  20 November 2018

O. Bottema
O. Bottema*
Affiliation:
Technische Hogeschool Delft, Holland
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Extract

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In non-Euclidean geometry the three medians of a triangle A1A2A3 (each joining a vertex Ai with the internal midpoint Gi of the opposite side) are concurrent; their common point is the centroid G. But the Euclidean theorem ' which depends on similarity, does not hold.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 502 - 506
Copyright
Copyright © Canadian Mathematical Society 1958

References

1. Coxeter, H. S. M., Non-Euclidean Geometry (3rd ed. Toronto, 1957).Google Scholar