Geometry revisited:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Washington, DC
Math. Assoc. of America
[ca. 2010]
|
| Ausgabe: | 14. print. |
| Schriftenreihe: | New mathematical library
vol. 19 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020481619&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 193 Seiten Illustrationen, Diagramme |
| ISBN: | 0883856190 9780883856192 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
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| 003 | DE-604 | ||
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| 008 | 100712s2010 xx a||| |||| 00||| eng d | ||
| 020 | |a 0883856190 |9 0-88385-619-0 | ||
| 020 | |a 9780883856192 |9 978-0-88385-619-2 | ||
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| 041 | 0 | |a eng | |
| 049 | |a DE-11 |a DE-703 | ||
| 084 | |a SK 380 |0 (DE-625)143235: |2 rvk | ||
| 100 | 1 | |a Coxeter, Harold S. M. |d 1907-2003 |e Verfasser |0 (DE-588)118522507 |4 aut | |
| 245 | 1 | 0 | |a Geometry revisited |c by H. S. M. Coxeter and S. L. Greitzer |
| 250 | |a 14. print. | ||
| 264 | 1 | |a Washington, DC |b Math. Assoc. of America |c [ca. 2010] | |
| 300 | |a XIV, 193 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a New mathematical library |v vol. 19 | |
| 650 | 0 | 7 | |a Geometrie |0 (DE-588)4020236-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Planimetrie |0 (DE-588)4046223-7 |2 gnd |9 rswk-swf |
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| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Planimetrie |0 (DE-588)4046223-7 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Greitzer, Samuel L. |d 1905-1988 |e Verfasser |0 (DE-588)110463587 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-88385-934-6 |
| 830 | 0 | |a New mathematical library |v vol. 19 |w (DE-604)BV001888260 |9 19 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020481619&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-020481619 | |
Datensatz im Suchindex
| _version_ | 1819281196666847232 |
|---|---|
| adam_text | Index
affine collineation,
101
altitudes,
9
ammonium
radical NH4,
127
angle bisectors
external,
16
internal,
9
angle of incidence,
87
angle of reflection,
87
antipodal points,
152, 183
antisimilitude
circle of,
121,186
Archimedes of Syracuse,
6, 59
area,
3
negative,
52
positive,
52
artificial satellite,
149
Artobolevskiï,
I.I.,
109
asymptotes of a hyperbola,
141,146
Ball, W. W. R.,
181
Bell, E.
T.,
1, 31, 46, 59, 181
Bevan,
В.,
22
Bolyai, J.,
126
Bottema, O.,
16
Bottema s triangle,
156
Brahmagupta,
57
formula,
56
ff
Braikenridge, W.,
76
Brianchon,
C. J.,
77
theorem,
77, 79,144
Brunelleschi,
F., 70
Butterfly theorem,
45,162
Cartesian coordinates,
32
Casey, J.,
24,112
catenary,
129
center of a conic,
147
center of gravity,
7
centroid,
7
Ceva,
Giovanni,
4
theorem,
4, 53, 67
Cevian,
4
circle,
27,107
of
antisimilitude,
121,186
of
Apollonius,
114
auxiliary,
150
coaxal,
35, 120,137,183
139,
Euler,
22
great,
152,185
of inversion,
108
nine-point,
20, 21,117, 131
orthogonal,
115
reciprocating,
136
Soddy s,
114, 130,176
drcumcenter,
7, 29,
111
circumcircle,
7, 131, 137
coaxal circles,
35,120,137,183
pencil of,
35
Cohn-Vossen, S.,
182
collinearity,
51
comet,
140,178
189
190
INDEX
concurrence,
51
configuration,
125, 133
dual,
133
congruence,
80
conjugate lines,
135
conjugate points,
135
conic,
132,138,179,183
central,
147
contrapositive,
15
Coolidge, J. L.,
129
coprirne,
93
Courant, R.,
88, 181
Court,
Ν. Α.,
181
Coxeter,
Η.
S. M.,
75, 181
cross ratio,
107, 112, 153, 184
deltoid,
44
Desargues, G.,
70
theorem,
70,146
Descartes, R.,
31
diagonal,
52, 73
dilatation,
80, 94, 184
central,
94, 101
directed
distances,
141
directed line
segments,
30
direct
similarity,
184
directrix,
141, 146
Dodgson,
C. L.,
51,154,183
dual configuration,
133
duality,
132
Durell,
C. V.,
181
e,
123
eccentricity
t,
139
еШрѕе,
139
enneagon (9-gon),
50
envelope,
134
equilateral triangle,
25, 63, 162
escribed circles,
13
Euclid of Alexandria,
1, 27, 141
Euler, L.,
19, 29, 130
circle,
22
line,
19, 137, 157,162, 184
excenters,
13
excircles,
13
exradii,
13
Fagnano, J.
F. T.,
88
problem,
88
Fejes Tóth, L.,
181
Fermat,
P.,
31, 65
point,
83
Feuerbach,
К.,
22
theorem,
22, 117
Flaubert,
G.,
132
focus,
132, 141
focal distance,
141
Forder,
H. G.,
74, 99,181
functions
exponential,
126
hyperbolic,
126
Gardner, Martin,
15
Gauss,
С
F., 126
geometry
hyperbolic,
126
inversive,
88, 132
non-euclidean,
126
projective,
51, 136
Gergonne point,
13
gnomonie
projection,
151,185
Greitzer, S. L.,
75
half-turn,
21, 80, 85, 95, 147
Hardy, G. H.,
182
Henderson,
Α.,
16
Heron of Alexandria,
59
formula,
58
hexagon,
73, 179
Hubert, D.,
182
Hobson, E. W.,
109
homeomorphism,
101
homothetic,
5, 72
Homer,
W. G.,
46
Hudson, H. P., Ill
hyperbola,
139
rectangular,
141
hyperbolic functions,
126
hyperbolic geometry,
126
hypocycloid,
44
ideal
Une,
150
ideal point,
150
INDEX
191
identity,
81
incenter,
10, 29,
111
incircle,
10
inradius,
10
incidence,
133
invariant
point,
99
inverse
of a circle through
О,
109
of a line,
109
locus,
108
oí
a point,
108, 150, 185
of a triangle,
110
inversion,
108
ff
antiinversion,
180
circle of,
108
in a sphere,
150
inversive
definition of,
116
inversive
distance,
123, 185
inversive
geometry,
88, 132
inversive
plane,
112, 113, 150, 151
isogonal
conjugates,
93
isometry,
81, 185
Jacobian,
175
Johnson, R.
Α.,
46, 182
Jupiter,
178
Kazarinoff,
N.
D.,
88, 182
Kempe,
А. В.,
109
Kepler, J.,
27, 140
Klein,
F., 27, 80
Lagrange,
J.,
63
Lamb,
H.,
56, 182
Laplace, P.,
63
Law of Cosines,
58
Lehmus,
C. L.,
14
Leibniz,
G. W.,
74
Lipkin,
L.,
109
limiting points,
120
line at infinity,
144
linkage,
109
Lobachevsky, N.,
126
Lockwood,
E. H.,
109, 182
logarithm (natural),
123, 124
MacLaurin, C,
76
Magnus,
L. J.,
108
mapping,
80
medial triangle,
18
medians,
7
Menelaus
of Alexandria,
66
theorem,
66
mid-circle,
121, 137, 174, 186
Miquel,
Α.,
62
mirror,
86
Morley,
F., 47, 88
theorem,
47
Napoleon Bonaparte,
63
Napoleon triangles,
61,
63ff,
186
inner,
63, 64, 100
outer,
63
Naraniengar,
M. T.,
47
Neuberg,
J.,
23
Newton, I.,
30, 74, 140
nine-point center,
21
nine-point circle,
20, 21, 117, 131
non-euclidean geometry,
126
O Beirne,
T. H.,
89, 182
Oppenheim,
Α.,
25
orbit,
140
Ore, O.,
182
orthic triangle,
9, 16, 88
orthocenter,
9, 38,
111
orthocentric quadrangle,
39, 119
orthogonality,
114
palindrome,
63
Pappus of Alexandria,
67, 141, 146
theorem,
67
parabola,
139, 146, 179
parade of angles,
25
parallelogram,
56
degenerate,
81
Pascal,
В.,
74, 144
line,
75, 186
theorem,
74, 168
Peaucellier,
Α.,
109
cell,
109
pedal point,
22
192
INDEX
pedal
triangle,
22, 40, 186
Pedoe,
D.,
182
pencil of circles,
35, 186
pentagon,
50, 52, 79
Pereľman,
A. I.,
89
Perfect, H.,
182
perspective,
49
triangles,
70
perspectivity
from a line,
70
from a point,
70
Petard, H.,
103
Petersen, J.,
99, 182
Petersen-Schoute theorem,
100
Pivot theorem,
62
planets,
27, 140
perturbation by,
178
Poncelet, J. V.,
22
point at infinity,
113, 144
polar,
133, 150
pole,
133
polar circle of a triangle,
137, 187
polarity,
145
polygon,
51
power of a point,
27, 30
preservation of angles,
114
principle of duality,
133
Procrustean stretch,
101, 102
projection
gnomonie,
151
Stereographic, 151, 180, 188
projective
geometry,
51, 136
projective
plane,
132,144,150, 152
Ptolemy s theorem,
42, 106, 165
quadrangle
complete,
134
convex,
52
crossed,
52
cyclic,
57
orthocentric,
39,119
re-entrant,
52
quadrilateral
complete,
134
radical axis,
34, 78, 122, 160, 187
radical center,
35, 38
ratio of magnification,
94
reciprocating circle,
136
reciprocation,
132, 187
reductio
ad absurdum,
16
reflection,
86
regular polygon,
187
Robbins, H.,
88, 181
rotation,
80, 82, 96
Satterly, J.,
9
Schoute, P. H.,
99
Schwarz,
Η. Α.,
88
self-conjugate line,
135
self-conjugate point,
135
self-inverse point,
108
self-polar triangle,
136, 146
separation,
103, 188
Shervatov, V. G.,
182
similar triangles,
34, 62
similarity,
80, 94, 188
direct,
95
Simson,
R.,
6, 41
line,
40, 41, 43, 62
oblique,
62
Smogorzhevskil, A. S.,
77, 182
Soddy s circles,
114, 130, 176
Spieker,
T.,
75
spiral similarity,
95, 188
squares,
65, 96
Steiner,
J.,
14, 30
porism,
124, 175, 180
Steiner-Lehmus theorem,
14
stereographic projection,
151, 180,
188
Stewart, M.,
6
theorem,
6, 31, 157
sum of reflections,
148
superposed maps,
99
symmetry,
148
tessellation,
89, 169
three jug problem,
89
three parameter family,
125
trajectory,
149
INDEX
193
transformation, 80£f
ultraparallel planes, 126
continuous,
101
linear, 101 van der Wagner., B. L., 59, 182
translation,
81 Varignon,
P.,
53
triangîft
.
,. ,,
,,,
parallelogram,
53
equilateral,
25, 63, 162
theorem,
51ñ
of centers,
62
vectorj 81
inequality,
173
orthic,
9, 16,88
trilinear coordinates,
89
Wallace> W· 41
trisectors
of the angles,
47
tritangent
circles,
13
Yaglom, I. M.,
34, 64, 182
Tutton,
Α. Ε. Η.,
127
Tweedie,
M. C. K.,
89 Zoll,
E. J.,
45
|
| any_adam_object | 1 |
| author | Coxeter, Harold S. M. 1907-2003 Greitzer, Samuel L. 1905-1988 |
| author_GND | (DE-588)118522507 (DE-588)110463587 |
| author_facet | Coxeter, Harold S. M. 1907-2003 Greitzer, Samuel L. 1905-1988 |
| author_role | aut aut |
| author_sort | Coxeter, Harold S. M. 1907-2003 |
| author_variant | h s m c hsm hsmc s l g sl slg |
| building | Verbundindex |
| bvnumber | BV036560261 |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)760111291 (DE-599)BVBBV036560261 |
| discipline | Mathematik |
| edition | 14. print. |
| format | Book |
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| id | DE-604.BV036560261 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:36:55Z |
| institution | BVB |
| isbn | 0883856190 9780883856192 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020481619 |
| oclc_num | 760111291 |
| open_access_boolean | |
| owner | DE-11 DE-703 |
| owner_facet | DE-11 DE-703 |
| physical | XIV, 193 Seiten Illustrationen, Diagramme |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Math. Assoc. of America |
| record_format | marc |
| series | New mathematical library |
| series2 | New mathematical library |
| spellingShingle | Coxeter, Harold S. M. 1907-2003 Greitzer, Samuel L. 1905-1988 Geometry revisited New mathematical library Geometrie (DE-588)4020236-7 gnd Planimetrie (DE-588)4046223-7 gnd Elementargeometrie (DE-588)4137488-5 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4046223-7 (DE-588)4137488-5 |
| title | Geometry revisited |
| title_auth | Geometry revisited |
| title_exact_search | Geometry revisited |
| title_full | Geometry revisited by H. S. M. Coxeter and S. L. Greitzer |
| title_fullStr | Geometry revisited by H. S. M. Coxeter and S. L. Greitzer |
| title_full_unstemmed | Geometry revisited by H. S. M. Coxeter and S. L. Greitzer |
| title_short | Geometry revisited |
| title_sort | geometry revisited |
| topic | Geometrie (DE-588)4020236-7 gnd Planimetrie (DE-588)4046223-7 gnd Elementargeometrie (DE-588)4137488-5 gnd |
| topic_facet | Geometrie Planimetrie Elementargeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020481619&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001888260 |
| work_keys_str_mv | AT coxeterharoldsm geometryrevisited AT greitzersamuell geometryrevisited |