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"Versiera" Marije Agnesi<br />

Descartesov list<br />

3<br />

a<br />

Jednadžba:<br />

y <br />

2 2<br />

a x<br />

3at<br />

Parametarske jednadžbe: x <br />

3<br />

1 t<br />

Točke infleksije:<br />

<br />

<br />

<br />

a 3a<br />

,<br />

3 4<br />

<br />

<br />

<br />

3 3<br />

x y 3axy<br />

2<br />

3at<br />

y <br />

3<br />

1 t<br />

U ishodištu: dvostruka (singularna) točka<br />

Dioklova cisoida<br />

Strofoida<br />

Jednadžba:<br />

Parametarske jednadžbe:<br />

y<br />

x 2<br />

a x<br />

2<br />

<br />

3<br />

2 x<br />

a<br />

x<br />

y<br />

<br />

a<br />

x<br />

2<br />

2<br />

at<br />

a t 1<br />

x <br />

x <br />

2<br />

2<br />

t 1<br />

t 1<br />

3<br />

2<br />

at<br />

at t 1<br />

y <br />

y <br />

2<br />

2<br />

t 1<br />

t 1<br />

U ishodištu: šiljak (singularna točka) dvostruka (singularna) točka.<br />

<br />

<br />

<br />

<br />

x

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