Abstract
We have seen that in an affine space X we cannot add points or multiply them by scalars. However, there is an operation on points which generalizes the notion of midpoint (x + y)/2 (cf. 2.A): taking the barycenter.
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© 1984 Marcel Berger
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Berger, M., Pansu, P., Berry, JP., Saint-Raymond, X. (1984). Barycenters; the Universal Space. In: Problems in Geometry. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1836-2_3
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DOI: https://doi.org/10.1007/978-1-4757-1836-2_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2822-1
Online ISBN: 978-1-4757-1836-2
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