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What does orthogonally mean?

Looking for the meaning or definition of the word orthogonally? Here's what it means.

Adverb
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Also since the circle of inversion cuts both excircles orthogonally, each excircle inverts into itself.
Other pieces, called champions, move orthogonally in any direction or jump two squares up or down, sideways or diagonally.
The Q y axes of BChl-a in LH1 are, along with the ring, to be coupled strongly, but the orthogonally oriented Q x axes are parallel and do not overlap.
Lines of natural stone paving and new dry stone walls extend the geometry of the house orthogonally into the outside space.
The component matrix then rotated orthogonally using varimax rotation algorithm.
Ethnicity was orthogonally coded by three dummy variables for four ethnic groups.

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