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Study Of Math Health Studyofmath Lt Study Of Math Prostorne krivulje

Study Of Math Health Studyofmath Lt 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 = x
3
 x = t 
 y = t
2
 z = t
3

 

VR modeli

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