@article{10_21136_CPM_1965_117539,
author = {Mandan, Sahib Ram},
title = {Court's conjecture on $n+2$ points in $[n]$},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {50--53},
year = {1965},
volume = {90},
number = {1},
doi = {10.21136/CPM.1965.117539},
mrnumber = {0193574},
zbl = {0129.12801},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1965.117539/}
}
TY - JOUR AU - Mandan, Sahib Ram TI - Court's conjecture on $n+2$ points in $[n]$ JO - Časopis pro pěstování matematiky PY - 1965 SP - 50 EP - 53 VL - 90 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1965.117539/ DO - 10.21136/CPM.1965.117539 LA - en ID - 10_21136_CPM_1965_117539 ER -
Mandan, Sahib Ram. Court's conjecture on $n+2$ points in $[n]$. Časopis pro pěstování matematiky, Tome 90 (1965) no. 1, pp. 50-53. doi: 10.21136/CPM.1965.117539
[1] H. F. Baker: Principles of Geometry 3. (Cambridge, 1934).
[2] H. F. Baker: Principles of Geometry 4. (Cambridge, 1940).
[2a] O. Bottema: On $n+2$ points in $n$-dimensional space. Amer. Math. Mon. 71 (164), 284-285. | MR | Zbl
[3] N. A. Court: Five Points in three-space. Amer. Math. Mon. 69 (1962), 614-617. | MR | Zbl
[4] H. S. M. Coxeter: Twelve points in $PG (5,3)$ with $95\,040$ Self-transformations. Proc. Royal Soc. A 247(1958), 279-293. | MR
[5] T. G. Room: The Freedoms of determinantal manifolds. Proc. Lond. Math. Soc. (2) 36 (1932), 1-28.
[6] S. R. Mandan: Properties of mutually self-polar tetrahedra. Bul. Cal. Math. Soc. 33 (1941), 147-155. | MR | Zbl
[7] S. R. Mandan: Commutative law in four dimensions' space $S_4$. Res. Bul. East Panj. Uni. No. 14 (1951), 31- 32.
[8] S. R. Mandan: An $S$-configuration in Eudlidean and elliptic $n$-space. Can. J. Math. 10 (1958), 489-501. | MR
[9] S. R. Mandan: Projective tetrahedra in a 4-space. Jour. Sc. & Engg. Res. 3 (1959), 169-174. | MR | Zbl
[10] S. R. Mandan: Polarity for a quadric in an n-space. Rev. Fac. Scs. Uni. Istanbul (A) 24 (1959), 21-40. | MR
[11] S. R. Mandan: Harmonic Inversion. Math. Mag. 33 (1959), 71-78. | MR
[12] S. R. Mandan: Desargues' theorem in n-space. Jour. Australian Math. Soc. I (I960), 311-318. | MR
[13] S. R. Mandan: Cevian simplexes. Proc. Amer. Math. Soc. II (1960), 837-845. | MR | Zbl
[14] S. R. Mandan: Medial simplexes. Math. St. 28 (1960), 49-52. | MR
[15] S. R. Mandan: Harmonic chains of equal hyperspheres. Ganita 12 (1961), 15-30. | MR | Zbl
[16] S. R. Mandan: Semi-inverse simplexes. Jour. Ind. Math. Soc. 25 (1961), 163-171. | MR
[17] S. R. Mandan: Isodynamic & isogonic simplexes. (To Enrico Bompiani on his scientific Jubilee), Ann. Mat. (IV) 53 (1961), 45-56. | MR | Zbl
[18] S. R. Mandan: Semi-, Uni- & Demi-isogonic & Fermat simplexes. Jour. Sc. & Engg. Res.5 (1961) 91-110. | MR
[19] S. R. Mandan: Orthogonal hyperspheres. Acta. Math. Acad. Sc. (Hungary) 13 (1962), 25-34. | MR | Zbl
[20] S. R. Mandan: Bisectors of triangles of a simplex. Jour. Sc. & Engg. Res. 6 (1962), 185-200. | MR
[21] S. R. Mandan: Altitudes of a simplex in n-space. Jour. Australian Math. Soc. 2 (1962), 403-424. | MR | Zbl
[22] S. R. Mandan: Orthic axes of triangles of a simplex. Jour. Ind. Math. Soc. 26 (1962), 13-24. | MR | Zbl
[23] S. R. Mandan: Perspective simplexes. Jour. Australian Math. Soc. (to appear). | MR | Zbl
[24] S. R. Mandan: On n + 1 intersecting hyperspheres. ibid. | Zbl
[25] S. R. Mandan: A porism on 2n + 5 hyperspheres in an [n]. Math. St. (to appear). | Zbl
[26] S. R. Mandan: Dandelin's figure in n-space. Čas. pro pěst. mat. 90 (1965), 58-65. | MR | Zbl
[27] S. R. Mandan: Polarity for a simplex. (to appear). | MR | Zbl
Cité par Sources :