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Study Of Math Discover Studyofmath Study Of Math Easy Szh Zivotopis Dipl Ing Graf Teh 228456 Study Of Math Prostorne krivulje

Study Of Math Discover Studyofmath Study Of Math Easy Szh Zivotopis Dipl Ing Graf Teh 228456 Study Of Math

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Cilindrična spirala

Cilindrična spirala nastaje kao presjek helikoida i kružnog cilindra, odnosno dvaju sinusoidalnih cilindara.

 
Jednadžbe Parametarske jednadžbe
x2 + y2 = a2   ili 
x = a cos (

z

)
c
y - x tg (

z

) =0
y = a sin (

z

)
c
c
x  = a  cos(t)
y  = a  sin(t)
z  = c t 



VR model

 
 


Vivianijev prozor




Vivianijev prozor je presjek sfere i kružnog cilindra.


 


 

 Jednadžbe
 Parametarske jednadžbe
 

 

  





 

 x2 + y2
  + z2 = R2
 
 

 

  





 

  ( 
  x _ 
  
  
R 

  
  ) 
  2 
  +y2= 


  
  
R2 



 

 

  2 


  4 


 



 		


 



 		
 


 

 x =
  
 
  
  
R 

  (1+cos(t))
 

 

  


  2 


 

 

 y =
  
 
  
  
R 

  sin(t)
 

 

  


  2 


 

 

 z =
  
  ± 
  
  
R 

 \/(2(1-
  cos(t))
 

 

  2 


 



 		
 







 


VR modeli

 







Kubna parabola




Kubna parabola je presjek paraboličkog i kubnog cilindra.
 


 

 Jednadžbe
 Parametarske jednadžbe
 

 

  



 y = x2

 z = x3
 		
 
   x = t 

   y = t2

   z = t3
 		
 







 


VR modeli

 


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