summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/doc/latex/visualpstricks/Source/geom3.tex
blob: 2f51d591481397aecbe1945fef85917382ba16f7 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
\SbSbSSCT{Point milieu}{midpoint}

%\verb \pstMiddleAB %[hpari]{hAi}{hBi}{hIi}
\begin{tabular}{|c|c|}\hline 
\multicolumn{2}{|c|}{ \BSS{pstMiddleAB}[linecolor=red]\AC{A}\AC{B}\AC{C} \BSI{pstMiddleAB}{pst-eucl} }\\ \hline 
\begin{pspicture}(-.5,-.5)(4,3.5)
\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3)
\pstGeonode(1,2){A}(3,1){B}
\pstMiddleAB[linecolor=red]{A}{B}{C}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(4,3.5)
\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3)
\pstGeonode(1,2){A}(3,1){B}
\pstMiddleAB[CodeFig,CodeFigColor=green]{A}{B}{C}
\end{pspicture}
\\ \hline  
[linecolor=red]
&  
[CodeFig,CodeFigColor=green]
\\ \hline 
\end{tabular} 

%\begin{center}
%\begin{tabular}{|c|} \hline
%\begin{pspicture}(-.5,-.5)(4,3.5)
%\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3)
%\pstGeonode(1,2){A}(3,1){B}
%\pstMiddleAB[linecolor=red]{A}{B}{C}
%\end{pspicture}
%\\ \hline
%\BSS{pstMiddleAB}[linecolor=red]\AC{A}\AC{B}\AC{C} \BSI{pstMiddleAB}{pst-eucl} \\ \hline
%\end{tabular}
%\end{center}





%--------------------

\SbSbSSCT{Centre de gravité d'un triangle}{Center of gravity of a triangle}

%\verb \pstCGravABC %[hpari]{hAi}{hBi}{hCi}{hGi}



\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(3,1){B}(4,4){C}
\pstCGravABC[linecolor=red]{A}{B}{C}{G}
\end{pspicture}
\\ \hline
\BSS{pstCGravABC}[linecolor=red]\AC{A}\AC{B}\AC{C}\AC{G} \BSI{pstCGravABC}{pst-eucl} \\ \hline
\end{tabular}
\end{center}

%----------

\SbSbSSCT{Centre du cercle circonscrit d'un triangle}{Circumcenter of a triangle}


\begin{tabular}{|c|c|c|}\hline 
\multicolumn{3}{|c|}{ \BSS{pstCircleABC}\AC{A}\AC{B}\AC{C}\AC{O} \BSI{pstCircleABC}{pst-eucl} }
\\ \hline 
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[linecolor=red,linewidth=1pt]{A}{B}{C}{O}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt]{A}{B}{C}{O}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[CodeFig,CodeFigColor=red,DrawCirABC=false,linewidth=1pt]{A}{B}{C}{O}
\end{pspicture}
\\ \hline  
[linecolor=red]
&  
[CodeFig,CodeFigColor=green]
&
[CodeFig,CodeFigColor=green \\
&& ,\RDD{DrawCirABC=false}  \RDI{DrawCirABC}{pst-eucl}
\\ \hline 
\end{tabular}
\bigskip

\begin{tabular}{|c|c|c|}\hline 
\multicolumn{3}{|c|}{ \BS{pstCircleABC}[CodeFig,CodeFigColor=red,\RDD{SegmentSymbolA}=MarkCros]\AC{A}\AC{B}\AC{C}\AC{O} \RDI{SegmentSymbolA}{pst-eucl} }
\\ \hline 
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,SegmentSymbolA=MarkCros]{A}{B}{C}{O}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,SegmentSymbolB=MarkCros]{A}{B}{C}{O}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstTriangle(1,2){A}(4,1){B}(3,4){C}
\pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,,SegmentSymbolC=MarkCros]{A}{B}{C}{O}
\end{pspicture}
\\ \hline  
\RDD{SegmentSymbolA}=MarkCros \RDI{SegmentSymbolA}{pst-eucl}
&  
\RDD{SegmentSymbolB}=MarkCros \RDI{SegmentSymbolB}{pst-eucl}
&
\RDD{SegmentSymbolC}=MarkCros \RDI{SegmentSymbolC}{pst-eucl}
\\ \hline 
\end{tabular}

%
%\begin{center}
%\begin{tabular}{|c|} \hline
%\begin{pspicture}(-.5,-.5)(5,5.5)
%\psaxes[ticksize=5,axesstyle=frame](5,5)
%\pstTriangle(1,2){A}(4,1){B}(3,4){C}
%\pstCircleABC[linecolor=red,linestyle=dashed]{A}{B}{C}{O}
%\end{pspicture}\\ \hline
%\BSS{pstCircleABC}\AC{A}\AC{B}\AC{C}\AC{O} \BSI{pstCircleABC}{pst-eucl} \\ \hline
%\end{tabular}
%\end{center}





%------------

\SbSbSSCT{Perpendiculaire par rapport à une droite}{Perpendicular to a  line}

\begin{tabular}{|c|c|}\hline 
\multicolumn{2}{|c|}{ \BSS{pstMediatorAB}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstMediatorAB}{pst-eucl}  }\\ \hline 
\begin{pspicture}(-.5,-.5)(6,4.5)
\psaxes[xticksize=4,yticksize=6,axesstyle=frame](6,4)
\pstGeonode[CurveType=polyline](1,2){A}(5,1){B}

\pstMediatorAB[linecolor=red]{A}{B}{C}{D}
\end{pspicture}
&  
\begin{pspicture}(-.5,-.5)(6,4.5)
\psaxes[xticksize=4,yticksize=6,axesstyle=frame](6,4)
\pstGeonode[CurveType=polyline](1,2){A}(5,1){B}

\pstMediatorAB[CodeFig,CodeFigColor=red]{A}{B}{C}{D}
\end{pspicture}
\\ \hline  
[linecolor=red]
&  
[CodeFig,CodeFigColor=red]
\\ \hline 
\end{tabular} 
\bigskip

\begin{tabular}{|c|c|c|}\hline 
\multicolumn{3}{|c|}{ \BS{pstMediatorAB}[linecolor=red,PointName=none,\RDD{nodesep}=-1]\AC{A}\AC{B}\AC{C}\AC{D} \RDI{nodesep}{pst-eucl}  }\\ \hline 
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesep=-1]{A}{B}{C}{D}
\end{pspicture}
&
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesepA=-2]{A}{B}{C}{D}
\end{pspicture}
&
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesepB=-0.5]{A}{B}{C}{D}
\end{pspicture}
\\ \hline 
\RDD{nodesep}=-1 \RDI{nodesep}{pst-eucl} & 
\RDD{nodesepA}=-2 \RDI{nodesepA}{pst-eucl} &
\RDD{nodesepB}=-0.5 \RDI{nodesepA}{pst-eucl}
\\ \hline 
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesep=0.3]{A}{B}{C}{D}
\end{pspicture}
&
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesepA=0.3]{A}{B}{C}{D}
\end{pspicture}
&
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4)
\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
\pstMediatorAB[linecolor=red,PointName=none,nodesepB=0.3]{A}{B}{C}{D}
\end{pspicture}
\\ \hline 
\RDD{nodesep}=0.3 & \RDD{nodesepA}=0.3 &\RDD{nodesepB}=0.3
\\ \hline 

\end{tabular}


%\begin{center}
%\begin{tabular}{|c|c|} \hline
%\begin{pspicture}(-.5,-.5)(4,3.5)
%\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3)
%\pstGeonode[CurveType=polyline](1,2){A}(3,1){B}
%
%\pstMediatorAB[linecolor=red]{A}{B}{C}{D}
%\end{pspicture}
%\\ \hline
%\BSS{pstMediatorAB}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstMediatorAB}{pst-eucl} \\ \hline
%\end{tabular}
%\end{center}

%---------

\SbSbSSCT{Bissectrice d'un angle}{Bissector}
%\verb \pstBissectBAC %[hpari]{hBi}{hAi}{hCi}{hNi}
%
%\verb \pstOutBissectBAC %[hpari]{hBi}{hAi}{hCi}{hNi}

\begin{center}
\begin{tabular}{|c|c|} \hline
\begin{pspicture}(-.5,-1.5)(5.5,3.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3)
\pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C}
%\pstBissectBAC[linecolor=red]{C}{B}{A}{D}
\pstBissectBAC[linecolor=red]{A}{B}{C}{D}
\pstCircleOA[linestyle=dotted,linecolor=red]{B}{A}
%\pstCircleOA[linestyle=dotted,linecolor=red]{B}{C}
\end{pspicture}
&
\begin{pspicture}(-.5,-1.5)(5.5,3.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3)
\pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C}
\pstOutBissectBAC[linecolor=red]{A}{B}{C}{D}
%\pstOutBissectBAC[linecolor=cyan]{C}{B}{A}{E}
\pstCircleOA[linestyle=dotted,linecolor=red]{B}{A}
%\pstCircleOA[linestyle=dotted,linecolor=cyan]{B}{C}
\end{pspicture}  
\\ \hline
\BSS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstBissectBAC}{pst-eucl} & 
\BSS{pstOutBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} 
\BSI{pstOutBissectBAC}{pst-eucl}
%\BS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{E} & 
%\BS{pstOutBissectBAC}\AC{C}\AC{B}\AC{A}\AC{E} 
\\ \hline
\begin{pspicture}(-.5,-1.5)(5.5,3.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3)
\pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C}
\pstBissectBAC[linecolor=red]{C}{B}{A}{D}
\pstCircleOA[linestyle=dotted,linecolor=red]{B}{C}
\end{pspicture}
&
\begin{pspicture}(-.5,-1.5)(5.5,3.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3)
\pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C}
\pstOutBissectBAC[linecolor=red]{C}{B}{A}{D}
\pstCircleOA[linestyle=dotted,linecolor=cyan]{B}{C}
\end{pspicture}  
\\ \hline
\BS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} & 
\BS{pstOutBissectBAC}\AC{C}\AC{B}\AC{A}\AC{D} 
\\ \hline
\end{tabular}
\end{center}