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1 1 1 a REPASO PROYECCIÓN DE PUNTOS EN OCTANTES DIB. MEC. FINAL 2022 (1).pptx
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1 1 1 a REPASO PROYECCIÓN DE PUNTOS EN OCTANTES DIB. MEC. FINAL 2022 (1).pptx
1.
2.
3.
4.
ABATIMIENTO DE LOS
PLANOS DE PROYECCIÓN DE LOS OCHO OCTANTES 3 D 2D
5.
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6.
7.
V H x y z a’ a A a’’ 1 1 1 2 2 2 o 3 3 3 1 2 3 Alejamiento del punto
A en relación al plano frontal (V). Altura del punto A en relación al plano horizontal (H). = a’’ a’’ a’ a’ x x a a = Distancia del punto A en relación al plano de perfil (W) y y1 = z z
8.
9.
10.
11.
12.
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13.
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14.
V H x y z I W a’ a A a’’ 0
15.
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16.
17.
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18.
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25.
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28.
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29.
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30.
31.
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32.
V H x y z I W a’ a A a’’ 0
33.
V x y z W a’ a a’’ y1 H
34.
35.
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36.
V H x y z I W a’ a A a’’ 0
37.
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38.
39.
40.
(H)
41.
42.
(H)
43.
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44.
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45.
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46.
y z (V) -x -z a’ a a’’ y1 -y
47.
48.
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50.
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51.
y z W (V) -x -z a’ a a’’ y1 -y 2 2
52.
53.
54.
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55.
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56.
y z (V) (V) -x -z a’ a a’’ y1 -y 2 2
57.
58.
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59.
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60.
y z W (V) (V) -x -z a’ a a’’ y1 -y
61.
62.
63.
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64.
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65.
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66.
67.
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69.
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70.
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71.
72.
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73.
74.
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76.
77.
78.
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80.
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81.
H x y (V) -z IV (W) a’ a A a’’
82.
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83.
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84.
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86.
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88.
89.
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90.
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91.
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92.
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94.
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95.
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96.
97.
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99.
100.
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101.
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102.
x y z -x -z a’ a a’’ y1 -y -y1
103.
104.
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107.
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108.
x y z (V) -x -z (W) a’ a a’’ y1 -y -y1 2 2 1 1 (H)
109.
110.
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111.
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112.
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113.
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116.
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118.
119.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
120.
121.
-z y (W) (V) (H) (H) -x -y (W) VIII VII a’ a A a’’
122.
-z y (V) (H) -x (W) VIII VII a’ a A a’’
123.
x y z (V) -x -z a’ a a’’ y1 -y -y1
124.
125.
126.
127.
V H x y z I W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
128.
z (V) (H) -x -y VI a’ a A a’’
129.
y z (V) -x -z a’ a a’’ (W) y1 -y -y1 (H)
130.
131.
V H x y z I W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
132.
z W (W) (V) (H) -x -y VI a’ a A a’’
133.
y z (V) -x -z a’ a a’’ (W) y1 -y -y1 (H)
134.
135.
V H x y z I W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
136.
z (V) (H) -x -y VI a’ a A a’’
137.
138.
y z (V) -x -z a’ a a’’ (W) y1 -y -y1 (H)
139.
140.
141.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’
142.
V x z W (H) (V) (W) (V) (W) (V) (H) -x -y -z II III VII VI a’ a A a’’
143.
144.
V x z (H) a’ a a’’ (W) -y -y1 2 2 0
145.
146.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’
147.
148.
V x z (H) a’ a a’’ (W) -y -y1 2 2 0
149.
150.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a Aa’’
151.
152.
V x z (H) a’ a a’’ (W) -y -y1 2 2 0
153.
154.
155.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a Aa’’
156.
V x z (H) (V) (W) (V) (W) (V) (H) -x -y -z II III IV VI VII a’ a Aa’’
157.
V x y z W (H) (V) (V) (W) (V) -x -z II III IV (W) V VI VIII a’ a a’’ I (W) y1 -y -y1 VII H (H) 2 2
158.
159.
160.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
161.
z (W) (V) (W) (V) (H) -x -y -z VI VII a’ a A a’’
162.
(W) (V) (H) -x -y -z VII a’ a A a’’
163.
164.
165.
166.
167.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’
168.
V x z (H) (V) (W) (V) (W) (V) (H) -x -y -z II III VI VII a’ a A a’’
169.
z (W) (V) (W) (V) (H) -x -y -z VI VII a’ a A a’’
170.
x y z (W) -x -z a’ a a’’ y1 -y -y1 2 2 1 1
171.
172.
V x z W (H) (V) (W) (V) (W) (V) (H) -x -y -z II III VII VI a’ a A a’’
173.
174.
175.
176.
V H x y z W (H) (V) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’ (W)
177.
V x z W (H) (V) (V) (W) (V) (H) -x -y -z II III VI VII a’ a A a’’ (W)
178.
x (H) (V) (V) (H) -x -y -z III VII a’ a A a’’ (W)
179.
x (H) (V) -y -z III a’ a A a’’ (W)
180.
x y z (H) (V) (W) -x -z a’ a a’’ y1 -y -y1 2 2 1 1
181.
182.
V H x y z W (H) (V) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’ (W)
183.
H x (H) (V) (V) (H) -x -y -z III VII a’ a A a’’ (W)
184.
x (H) (V) -y -z III a’ a A a’’ (W)
185.
186.
x y z (H) (V) (W) -x -z a’ a a’’ y1 -y -y1 2 2 1 1
187.
188.
x y z -x -z a’ a a’’ y1 -y -y1
189.
V H x y z W (H) (V) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII VII a’ a A a’’ (W)
190.
V H x z W (H) (V) (V) (W) (V) (H) -x -y -z II III VI VII a’ a A a’’ (W)
191.
H x (H) (V) (V) (H) -x -y -z III VII a’ a A a’’ (W)
192.
193.
194.
195.
196.
V H x y z W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a A a’’ 2 2 1 1 a’
197.
V x z (H) (V) (W) (V) (V) (H) -x -y -z II III VI a A a’’ 2 2 1 1 a’ VII
198.
199.
200.
201.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’ 2 2 1 1
202.
203.
204.
V x z W (H) (W) (V) (H) -x -y II VI a’ a A a’’ 2
205.
206.
207.
208.
209.
V H x y z W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a A a’’ 2 2 1 1 a’
210.
211.
V x z (H) a’ a a’’ (W) -y -y1 2 2 1 1 0
212.
213.
V H x y z W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a A a’’ 2 2 1 1 a’
214.
215.
216.
V H x y z W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a A a’’ 2 2 1 1 a’
217.
218.
V x z (H) a’ a a’’ (W) -y -y1 2 2 1 1 0
219.
220.
V H x y z W (H) (V) (W) (V) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a A a’’ 2 2 1 1 a’
221.
V x z (H) (V) (W) (V) (V) (H) -x -y -z II III VI VII a A a’’ 2 2 1 1 a’
222.
V x z (H) (V) (H) -x -y II VI a A a’’ 2 2 1 1 a’
223.
V x z (H) -y II a A a’’ 2 2 1 1 a’
224.
V x z (H) a’ a a’’ (W) -y -y1 2 2 1 1 0
225.
226.
227.
228.
229.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’
230.
V x z (H) (V) (W) (W) -y -z II III a’ a A a’’
231.
V x z (H) a’ a a’’ (W) -y -y1 2 2 0
232.
233.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’
234.
V x z (H) (V) (W) (W) -y -z II III a’ a A a’’
235.
V x z (H) a’ a a’’ (W) -y -y1 2 2 0
236.
237.
V H x y z W (H) (V) (W) (V) (W) (H) (V) (H) -x -y -z II III IV (W) V VI VIII a’ a A a’’
238.
239.
240.
241.
242.
243.
ABATIMIENTO DE LOS
PLANOS DE PROYECCIÓN DE LOS OCHO OCTANTES 3 D 2D
244.
245.
246.
247.
a´ a a a a´ a a´ a´ a a´ a´ a a´ a a a´ a a´ a a´ a´ a a I II
III IV V VI VII VIII a´ a a´ a a´ a´ a a´ a
248.
249.
I-II II-III III-IV
IV-I V-VI VI-VII VII-VIII VIII-V a a´ a a´ a a´ a a´ a a´ a a´ a a´ a a´
250.
251.
a´ a a a a´ a a´ a´ a a´ a´ a a´ a a a´ a a´ a a´ a´ a a I
I-II II II-III III III-IV IV IV-I V V-VI VI VI-VII VII VII-VIII VIII VIII-V a´ a a´ a a´ a´ a a´ a a a´ a a´ a a´ a a´ a a´ a a´ a a´ a a´
252.
a´ a a´ a a a´ a a´ a´ a a´ a´ a a´ a a a´ a a´ a a´ a´ a a I II III
IV V VI VII VIII
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