AULA 05 TRIÂNGULOS

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
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UNIVERSIDADE FEDERAL DA BAHIA
FACULDADE DE ARQUITETURA
NÚCLEO DE EXPRESSÃO GRÁFICA, SIMULAÇÃO, PROJETO E PLANEJAMENTO
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1. 
2. 
3. 
3.1.
4. 
4.1.
4.2.
5. 
5.1.
5.2.1
5.3.2
5.4.3
UNIVERSIDADE FEDERAL DA BAHIA
FACULDADE DE ARQUITETURA
NÚCLEO DE EXPRESSÃO GRÁFICA, SIMULAÇÃO, PROJETO E PLANEJAMENTO

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5.5.
6.
6.1.
6.2.
6.3.B
6.4.B
7.V
7.1
7.2.
7.3.B
7.4.
UNIVERSIDADE FEDERAL DA BAHIA
FACULDADE DE ARQUITETURA
NÚCLEO DE EXPRESSÃO GRÁFICA, SIMULAÇÃO, PROJETO E PLANEJAMENTO

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8.V
8.1.
8.2.B
8.3.
8.4.
8.5. - 
.
1.
1.1.
1.2.
1.3.- 
11.
12.BB.
UNIVERSIDADE FEDERAL DA BAHIA
FACULDADE DE ARQUITETURA
NÚCLEO DE EXPRESSÃO GRÁFICA, SIMULAÇÃO, PROJETO E PLANEJAMENTO


•   
  .
•   
    3
   q 
   ,
 ,  3
  .
 j, q  3
  3 .
1.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5
h//...//.h
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2.
•      v q  

• V     
•       .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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2.
• B  
  
  
B
• B  
 
q  
   
v
 . 
 
   
  
 ,  . h .
  v  . j 
    q  . . 26 -
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,    . . .. h
  v   / B.
    , 2 .,
21, . 83 - 12. B 85-87243-5-5.
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2.
•   δ, e,z. 
    18
•   β, α, g.
 j  
    
  q qq
   j
•   q  
      
.
 ,    . . .. h 
 v   / B.  
  , 2 ., 21, . 83-12. B 85-
87243-5-5.
h//.w./212/8/5/--
/
h//.h./v177/-
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3.
  v  
     
    
 q   
   
.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83  12. B 85-87243-5-5
h//www.w..//----.h
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3.
3.1.  

 qq , 
   
,    
-   .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.
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4.
4.1.     
q   
   
qq    h
 .  
q,    1/3 
      
  
.
 q
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.../--/
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4.
4.1.     
•    
     ,
      .
    
.  
v   v 
   
  .
 
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.v.///-/
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4.
4.1.     
•       
 qq       .
 
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.v.///-/
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4.
4.1.     
•     .  
     , - q  
q.
 
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.v.///-/
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
4.
4.1.     
•     .
        .
 
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.v.///-/
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4.
4.1.     
•     .   q  
     h   
  h  .   
    .
 
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5
h//www.v.///-/
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5.

5.1. 
  H
  B  
h   v 
h
    j 
   B  
h.
   
 q    
  .
 ,    . . ..
h   v   /
B.    
, 2 ., 21, . 83-12. B 85-
87243-5-5.
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5.

5.2. 1 
  
,   
qq    
   
 h   
j  .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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5.

5.3. 2 
  
,   
    
   
j   
 h.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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5.

5.4. 3    
      
   q j  
 h   
     
q j   
  . 
j,    
    3, 4 
5  .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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5.

 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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5.

 ,    . . ..
h   v  
/ B.    
, 2 ., 21, . 83-12. B
85-87243-5-5.
5.5.     










6.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 3-4. B 85-87243-5-5.
      
   . v 

α = Υ  
β  Π  
 ,    
  qq  
18.
6.1.       










 ,    . . .. h   v   / B.
    , 2 ., 21, . 3-4. B 85-87243-5-5.
       
    
j  .
   YZ qq 
    
α  Υ + Π  α>Π  α> Υ.
    b  18 - a
j   a,   
    - 
6.2.    
b+p+g = 180º
g+p+(180-a) = 180
a=g+p








6.


 ,    . . .. h   v   / B.
    , 2 ., 21, . 3-4. B 85-87243-5-5.
6.3.   B 








6.


 ,    . . .. h   v   / B.
    , 2 ., 21, . 3-4. B 85-87243-5-5.
6.3.   B 








6.


 ,    . . .. h   v   / B.
    , 2 ., 21, . 3-4. B 85-87243-5-5.
6.3.   B 








6.


7.V
7.1. 
q   
q    v 
   
   .
 v 
h  
 v v.
 ,  . h .   v  . j 
    q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.










7.V
7.2. 
       v    
  .    3  h, BH,
H     v.    v q
  .
 ,  . h .   v  . j 
    q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.










7.V
7.3. B
      .  3 
    , B,    
 .
 ,  . h .   v  . j 
    q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.
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
7.V
7.4. 
   q        
v .  3 , B, .
 ,  . h .   v  . j 
    q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 -12. B 85-87243-5-5.
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7.V
7.4. 
   
    
 v,   
  v 
 ,  
1, 2  3   
 B 
  v.
 ,  . h .
  v  . j 
    q  .
. 26 - 35
,    . . .. h
  v   / B.
    , 2
., 21, . 83 - 12. B 85-87243-5-5.
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8.
V
8.1. 
    ,     
,   .
 ,  . h .   v  . j 
    q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.
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8.
V
8.1. 
  -  
- 
    
,  q  
   .
  v q
   qq 
   v 
   v.
 ,  . h .
  v  . j 
    q  .
. 26 - 35
,    . . .. h
  v   / B.
    , 2
., 21, . 83 - 12. B 85-87243-5-5.
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8.
V
8.2. B
        ,
    v.     
.    2/3   v,   1/3
  .
 ,  . h
.   v 
. j     
q  . . 26 - 35
,    . . ..
h   v 
 / B.  
  , 2 ., 21,
. 83 - 12. B 85-87243-5-5
h//..../
/-v-.h
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8.
V
8.3. 
         
     q  
.  j,     
         
.        
    qq    
.
 ,  . h .   v  . j  
   q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5
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8.
V
8.3. 
 ,  . h .   v  . j  
   q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5
h//..//8/86/16/88616841436711476157.j
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8.
V
8.4. 
    
    
 q  v.  
  
  . 
     .
 ,  . h .   v  . j  
   q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5
h//www.2.//j/1/51.h
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8.
V
8.4. 
,

.
,

.
,

h.
 ,  . h .   v  . j  
   q  . . 26 - 35
,    . . .. h   v   / B.
    , 2 ., 21, . 83 - 12. B 85-87243-5-5.
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8.
V
8.5. -
    
    
1, 2, 3.
 ,  . h .   v  . j  
   q  . . 26 - 35
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8.
V
8.5. -
    
 -,
-  
    
, q   
   
q   -  
   
  .
 ,  . h
.   v 
. j     
q  . . 26 - 35
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
.

.1 
  B    v q
   ,       
B    v    
   .
 ,  
 . . ..
h  
v  
/ B. 
  
, 2 .,
21, . 83-12. B
85-87243-5-5.
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
.

.1 
•   B q       
h  
•     -    
,       v

 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
•     
B     
    .
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1.
1.1.    
    , 
       
     .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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
1.
1.2.   
1   , , 
          
, v , ,  
.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
h//www.q../
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
1.
1.2.   
2   , , 
          
, v , ,  
.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
h//www.q../
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
1.
1.2.   
3   , , 
      , v
, ,  .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
h//www.q../
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

1.
1.3.  -    
      
  v 
       j   
          
  h   .
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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

1.    , h-  
  6,5 ,   5       6.
1.   , -  
6
2.     , -   5

3.      
11.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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

2.    ,  q  
h  6 ,     45    
h  4 
1.   ,   
  45
2.   -  ,
 -   4 
3. -   
   h
4.       
  -   
5.      
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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11.


3.    B,     
 v   .
 6,4   5,5 
 4 .
1.    h, -  
 B  6,5 
2.  B -    
-     4 
3.     
   h
4.         
    5,5 , - 
       
    B  ´ B  
  .
 ,    . . ..
h   v  
/ B.    
, 2 ., 21, . 83-12. B
85-87243-5-5.
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11.


3.    q H,  
   H  5 .
1.    , -   
2.   -   
- H 5 
3.  H -    6,
H  BH  , - 
 
4.    
     
5.   H,      v 
H q.
 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
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11.


4.    q YZ h- 
.
  y  
1.     , - Y
2.       ,
  , v-  

3.   Y,    ,
v-   q 
   Z
4.     , Y  Z  
 j.
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

 ,  . h .   v  . j  
   q  . . 26 - 35
11.


5.    B h- 
 .
1. -      -
 B  
2.   ,  , v- 
 
3.   B,  B, v- 
,     
4.     , B    
 j. 







 ,  . h .
  v  . j 
    q  . . 26 -
35
11.


6.    B h-    
    B.
  45
B  6
1. -      -
 B  
2.   -    45
3.  B -    6
4.      
   
5.     , B    
 j.








 ,  . h .   v  . j  
   q  . . 26 - 35
11.


7.    qq B, h-
       .
1. -      -
 B 
2.   -   
3.      
 - 
4.     , B    
 j.








 ,  . h .   v  . j  
   q  . . 26 - 35
11.


8.    qq B, h-
     v   .
1. -      - B    
2. - ’ //      h     
,  h,       ’//
3.   ,      , -   q  ’  
 ’
4.     , B      j B’    









 ,  . h .   v  . j  
   q  . . 26 - 35
11.


.    qq B, h-
     v   .
1. -      -
B  
2. -    B  
3.   ,    , v-
  q    
 
4.    ´ , B    
 j.








 ,  . h .   v  . j  
   q  . . 26 - 35
11.


1.     B, h- 
      .
1. -      -
B  
2. -   B,  
3.   , -   
4.   , v-  

5.   ,    -  
1   
6.   B,    -  
2   
7.     1  B2,
-   
8.     <B    
 j.
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 ,  . h
.   v 
. j     
q  . . 26 - 35
11.


11.     B, h- 
      .
1. -      -
B  
2.       -
   
3. v-      
     
4. -     
 q    
 
5.     , B    
 j.
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


12.    qq B, h-
 ,     v    
 .
1.    -  
2.   , -    
3.   ,   B, -   B
4. - B     
5.    qq   v-       
v  h    1
6.   1 - ’//,      ’;
7.     , B      j.
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


12.    qq B, h-
 ,     v    
 .
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .








 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .








 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .








 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .








 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .




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


 ,  . h .   v  . j 
    q  . . 26 - 35
11.

13. v   ,   
      .  
       
   ,     q
v       
     .








 ,  . h .   v  . j 
    q  . . 26 - 35
11.


13. v   ,   
      .  
       
   ,     q
v       
     .
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 ,  . h .   v  . j 
    q  . . 26 - 35
11.


14.    
 q     12,5 
 q - q    5,5 
 ,    4,5    6 
 ,    B  4,5    
j   45
15.        B  5
 B  4     2,5 .

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 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
11.


16.    B, q,  q 
  B  5 .    v  B, 
 v      v   .
17.        
6,5    4,5 .   .
18.       
 h-   B  4 ,   
 4     j     6. 
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 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
11.


1.       
    B 4,5    B  6  
   
   B  4      j  
3,     v 

  h q      .  6   
 .   3,5 .
2.       q 
 4   v-  
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 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
11.


21.     B  
,     .
22.        ,
  3,5    5 ,    
.
23.    q B j  
 2,5 .
       v,
-.
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 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
11.


24.    q j   
      B  8 
B  4     6 .
   v, -.
25.     j  
  2        4 , 5  
7 .      v 
.
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 ,    . . .. h   v   / B.
    , 2 ., 21, . 83-12. B 85-87243-5-5.
11.


,  . h .   v
 . j      q 
. . 15-24
,  . .    ,  
2  
, 216.
,    . . .. h  
v   / B.    
, 2.
12.BB
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


h//www..k12..////v/3/h/
_37.H
h//www.q../
h//...//.h
h//...//----
.h
h//www.../--/
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12.BB




.   h 

 217   v 
 Z      51 
H .    V
    B.
  v  217
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