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krivulja u ravnini

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Lemniskata (poseban slučaj Cassinijevih ovala za a<br />

c)<br />

2<br />

Implicitna jednadžba: x 2 y 2 a 2 x 2 y<br />

2<br />

<br />

2 0. Polarna jednadžba: a 2cos2<br />

.<br />

<br />

Navedimo još neke krivulje:<br />

Cikloida<br />

Astroida (hipocikloida)<br />

Parametarske jednadžbe: x a t sin t<br />

y a 1 cos t<br />

3<br />

x a cos t<br />

3<br />

y a sin t<br />

Implicitna jednadžba:<br />

2/3 2/3 2/3<br />

x y a<br />

Evolventa kružnice<br />

Parametarske jednadžbe: x a cos<br />

t t sin t<br />

, y a sin<br />

t t cos t<br />

xiii

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