Math

Study Of Math Safety Studyofmath Study Of Math Szh English Departments 2008 11 Anthony Julius Naro Study Of Math Prostorne krivulje

Study Of Math Safety Studyofmath Study Of Math Szh English Departments 2008 11 Anthony Julius Naro 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