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Geodézia I. - NymE GEO portál

Geodézia I. - NymE GEO portál

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Síkbeli koordináta transzformációk<br />

-hasonlósági transzformáció-<br />

X ’<br />

X<br />

r ' = Y ' ⋅ j ' +<br />

Y = r ⋅ j = r ' ⋅<br />

X = r ⋅ i = r ' ⋅i<br />

=<br />

X ' ⋅i<br />

'<br />

j =<br />

r<br />

( Y ' ⋅ j ' + X ' ⋅ i ')<br />

⋅ j = Y ' ⋅ j ' ⋅ j + X ⋅'<br />

i '<br />

( Y ' ⋅ j ' + X ' ⋅ i ') ⋅i<br />

= Y ' ⋅ j ' ⋅ i + X ' ⋅ i ' ⋅ i<br />

⋅<br />

j<br />

r ’<br />

Y ’<br />

+α<br />

i<br />

i ’<br />

j ’<br />

+α<br />

Y<br />

j<br />

9

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