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Geodézia I. - NymE GEO portál

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Síkbeli koordináta transzformációk - hasonlósági transzformáció-<br />

Viszont :<br />

j'<br />

⋅ j = cosα<br />

i'<br />

⋅ j = cos<br />

j'<br />

⋅i<br />

= cos -<br />

i ' ⋅i<br />

= cosα<br />

( 90 + α)<br />

= -sinα<br />

[ ( 90 - α)<br />

] = cos( 90 - α)<br />

=<br />

sinα<br />

Azaz:<br />

Y = Y ' ⋅cosα<br />

- X ' ⋅ sinα<br />

X = Y ' ⋅ sinα + X ' ⋅ cosα<br />

⇒ Egybevágósági transzformáció<br />

10

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