Geometry of a simplex inscribed in a normal rational curve
1967 ◽
Vol 7
(1)
◽
pp. 17-22
In 1959, Professor N. A. Court [2] generated synthetically a twisted cubic C circumscribing a tetrahedron T as the poles for T of the planes of a coaxal family whose axis is called the Lemoine axis of C for T. Here is an analytic attempt to relate a normal rational curve rn of order n, whose natural home is an n-space [n], with its Lemoine [n—2] L such that the first polars of points in L for a simplex S inscribed to rn pass through rn anf the last polars of points on rn for S pass through L. Incidently we come across a pair of mutually inscribed or Moebius simplexes but as a privilege of odd spaces only. In contrast, what happens in even spaces also presents a case, not less interesting, as considered here.
1948 ◽
Vol 193
(1032)
◽
pp. 25-43
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1997 ◽
Vol 58
(1)
◽
pp. 93-110
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1965 ◽
Vol 5
(1)
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pp. 69-75
1948 ◽
Vol 073
(3)
◽
pp. 93-98,99
2017 ◽
Vol 86
(6)
◽
pp. 1175-1184
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2017 ◽
Vol 63
(6)
◽
pp. 3658-3662
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1983 ◽
Vol 41
◽
pp. 318-319
1970 ◽
Vol 28
◽
pp. 260-261
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