Differential 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

Cilindrična spirala

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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Jednadžbe	Parametarske jednadžbe
y = x² z = x³	x = t y = t² z = t³