Title:
|
Court's conjecture on $n+2$ points in $[n]$ (English) |
Title:
|
Courtova domněnka o $n+2$ bodech v $[n]$ (Czech) |
Author:
|
Mandan, Sahib Ram |
Language:
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English |
Journal:
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Časopis pro pěstování matematiky |
ISSN:
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0528-2195 |
Volume:
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90 |
Issue:
|
1 |
Year:
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1965 |
Pages:
|
50-53 |
Summary lang:
|
Czech |
Summary lang:
|
Russian |
. |
Category:
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math |
. |
MSC:
|
50-14 |
idZBL:
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Zbl 0129.12801 |
idMR:
|
MR0193574 |
DOI:
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10.21136/CPM.1965.117539 |
. |
Date available:
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2009-09-23T07:37:42Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/117539 |
. |
Reference:
|
[1] H. F. Baker: Principles of Geometry 3.(Cambridge, 1934). |
Reference:
|
[2] H. F. Baker: Principles of Geometry 4.(Cambridge, 1940). |
Reference:
|
[2a] O. Bottema: On $n+2$ points in $n$-dimensional space.Amer. Math. Mon. 71 (164), 284-285. Zbl 0122.38401, MR 1532580 |
Reference:
|
[3] N. A. Court: Five Points in three-space.Amer. Math. Mon. 69 (1962), 614-617. Zbl 0107.38002, MR 1531768 |
Reference:
|
[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 0120289 |
Reference:
|
[5] T. G. Room: The Freedoms of determinantal manifolds.Proc. Lond. Math. Soc. (2) 36 (1932), 1-28. |
Reference:
|
[6] S. R. Mandan: Properties of mutually self-polar tetrahedra.Bul. Cal. Math. Soc. 33 (1941), 147-155. Zbl 0060.33809, MR 0007259 |
Reference:
|
[7] S. R. Mandan: Commutative law in four dimensions' space $S_4$.Res. Bul. East Panj. Uni. No. 14 (1951), 31- 32. |
Reference:
|
[8] S. R. Mandan: An $S$-configuration in Eudlidean and elliptic $n$-space.Can. J. Math. 10 (1958), 489-501. MR 0100812 |
Reference:
|
[9] S. R. Mandan: Projective tetrahedra in a 4-space.Jour. Sc. & Engg. Res. 3 (1959), 169-174. Zbl 0118.36103, MR 0120546 |
Reference:
|
[10] S. R. Mandan: Polarity for a quadric in an n-space.Rev. Fac. Scs. Uni. Istanbul (A) 24 (1959), 21-40. MR 0125474 |
Reference:
|
[11] S. R. Mandan: Harmonic Inversion.Math. Mag. 33 (1959), 71-78. MR 0125475 |
Reference:
|
[12] S. R. Mandan: Desargues' theorem in n-space.Jour. Australian Math. Soc. I (I960), 311-318. MR 0126751 |
Reference:
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[13] S. R. Mandan: Cevian simplexes.Proc. Amer. Math. Soc. II (1960), 837-845. Zbl 0121.15601, MR 0119145 |
Reference:
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[14] S. R. Mandan: Medial simplexes.Math. St. 28 (1960), 49-52. MR 0145392 |
Reference:
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[15] S. R. Mandan: Harmonic chains of equal hyperspheres.Ganita 12 (1961), 15-30. Zbl 0163.15102, MR 0139044 |
Reference:
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[16] S. R. Mandan: Semi-inverse simplexes.Jour. Ind. Math. Soc. 25 (1961), 163-171. MR 0146694 |
Reference:
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[17] S. R. Mandan: Isodynamic & isogonic simplexes.(To Enrico Bompiani on his scientific Jubilee), Ann. Mat. (IV) 53 (1961), 45-56. Zbl 0122.38205, MR 0123932 |
Reference:
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[18] S. R. Mandan: Semi-, Uni- & Demi-isogonic & Fermat simplexes.Jour. Sc. & Engg. Res.5 (1961) 91-110. MR 0126753 |
Reference:
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[19] S. R. Mandan: Orthogonal hyperspheres.Acta. Math. Acad. Sc. (Hungary) 13 (1962), 25-34. Zbl 0105.13604, MR 0139046 |
Reference:
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[20] S. R. Mandan: Bisectors of triangles of a simplex.Jour. Sc. & Engg. Res. 6 (1962), 185-200. MR 0146696 |
Reference:
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[21] S. R. Mandan: Altitudes of a simplex in n-space.Jour. Australian Math. Soc. 2 (1962), 403-424. Zbl 0121.15901, MR 0146695 |
Reference:
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[22] S. R. Mandan: Orthic axes of triangles of a simplex.Jour. Ind. Math. Soc. 26 (1962), 13-24. Zbl 0117.37701, MR 0147946 |
Reference:
|
[23] S. R. Mandan: Perspective simplexes.Jour. Australian Math. Soc. (to appear). Zbl 0387.51008, MR 0199790 |
Reference:
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[24] S. R. Mandan: On n + 1 intersecting hyperspheres.ibid. Zbl 0151.26502 |
Reference:
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[25] S. R. Mandan: A porism on 2n + 5 hyperspheres in an [n].Math. St. (to appear). Zbl 0145.41402 |
Reference:
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[26] S. R. Mandan: Dandelin's figure in n-space.Čas. pro pěst. mat. 90 (1965), 58-65. Zbl 0129.12705, MR 0196575 |
Reference:
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[27] S. R. Mandan: Polarity for a simplex.(to appear). Zbl 0161.40403, MR 0202045 |
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