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Geodézia I. - NymE GEO portál

Geodézia I. - NymE GEO portál

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Síkbeli koordináta transzformációk - affin transzformáció<br />

Viszont :<br />

j'<br />

⋅ j = cos<br />

i'<br />

⋅ j = cos<br />

j'<br />

⋅i<br />

= cos -<br />

i ' ⋅i<br />

= cosα<br />

( α + ϕ)<br />

( 90 + α)<br />

= -sinα<br />

[ ( 90 - ( α + ϕ)<br />

)] = cos( 90 - ( α + ϕ)<br />

) = sin( α + ϕ)<br />

Azaz:<br />

Y = Y ' ⋅ cos<br />

X = Y ' ⋅ sin<br />

( α + ϕ)<br />

- X ' ⋅ sinα<br />

( α + ϕ) + X ' ⋅ cos α<br />

36

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