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Spheres and Conicoids Through Twenty-Four Points

Published online by Cambridge University Press:  03 November 2016

Extract

Figure 1 is described in detail in my article in the Mathematical Gazette, XIX, No. 236. it is based on a tetrahedron ABCD and an arbitrary point D2. These five points determine all the other points of the figure, and if the tetrahedron ABCD is taken as the tetrahedron of reference and the coordinates of D2 are (α0, β0, γ0, δ0), the coordinates of A1, B1, C1, D1 are (- α0, β0, γ0, δ0), (α00,-γ0, δ0), and so on. in what follows the tetrahedron A1B1C1D1 is called the associated tetrahedron.

Type
Research Article
Copyright
Copyright © Mathematical Association 1946

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