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On n+1 intersecting hyperspheres in n-space†

Published online by Cambridge University Press:  09 April 2009

Sahib Ram Mandan
Sahib Ram Mandan
Affiliation:
Indian Institute of Technology Kharagpur, India
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The interesting results arising from the study of ‘Four intersecting spheres’ [9] in a solid made the author think of an analogous picture in higher spaces too and thus the present paper arose.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1966 , pp. 1 - 10
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Baker, H. F, Principles of Geometry, vol. 4, Cambridge, 1940.Google Scholar
[2]Court, N. A., Modern pure solid geometry, New York, 1935.Google Scholar
[3]Coxeter, H. S. M., Regular Polytopes, London, 1948.Google Scholar
[4]Mandan, S. R., Hypercones through 2 quadrics with a common conic, Jour. Lahore Phil. Soc. 8 (1946), 59.Google Scholar
[5]Mandan, S. R., Umbilical projection, Proc. Indian Acad. Sci. 28A (1948), 166–172.CrossRefGoogle Scholar
[6]Mandan, S. R., An S-Configuration in Euclidean & elliptic n-space, Canadian J. Math. 10 (1958), 489–501.CrossRefGoogle Scholar
[7]Mandan, S. R., Altitudes of a simplex in 4-space, Bull. Calcutta Math. Soc. Supp. 50 (1958), 8–20.Google Scholar
[8]Mandan, S. R., Harmonic inversion, Math. Mag. 32 (1959) 71–78.CrossRefGoogle Scholar
[9]Mandan, S. R., On four intersecting spheres, Jour. Indian Math. Soc. 23 (1959), 151–167.Google Scholar
[10]Mandan, S. R., Polarity for a quadric in n-space, Rev. Fac. Scs. Univ. Istanbul, Series A 24 (1959), 21–40.Google Scholar
[11]Mandan, S. R., evian simplexes, Proc. Amer. Math. Soc. 11 (1960), 837–845.CrossRefGoogle Scholar
[12]Mandan, S. R., Isodynamic & Isogonic simplexes, Annali Mat. pura appl., Series (4) 53 (1961), 45–56.CrossRefGoogle Scholar
[13]Mandan, S. R., Semi-inverse simplexes, Jour. Indian Math. Soc. 25 (1961), 163–171.Google Scholar
[14]Mandan, S. R., Orthogonal hyperspheres, Acta Math. (Hungary) 13 (1962), 25–34.Google Scholar
[15]Mandan, S. R., Polarity for a simplex (in press).Google Scholar
[16]Salmon, G., Analytical Geometry of three dimensions, New York, 1927.Google Scholar
[17]Salmon, G., Higher plane curves, New York, 1934.Google Scholar
[18]Semple, J. G. & Roth, L., Algebraic Geometry, Oxford, 1949.Google Scholar
[19]Somerville, D. M. Y., Analytical conics, London, 1949.Google Scholar