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There are 10 words beginning with ORTHOGONALI

ORTHOGONALISE	• orthogonalise v. Alternative form of orthogonalize. • ORTHOGONALISE v. to make orthogonal, also ORTHOGONALIZE.
ORTHOGONALISED	• orthogonalised v. Simple past tense and past participle of orthogonalise. • ORTHOGONALISE v. to make orthogonal, also ORTHOGONALIZE.
ORTHOGONALISES	• ORTHOGONALISE v. to make orthogonal, also ORTHOGONALIZE.
ORTHOGONALISING	• orthogonalising v. Present participle of orthogonalise. • ORTHOGONALISE v. to make orthogonal, also ORTHOGONALIZE.
ORTHOGONALITIES	• orthogonalities n. Plural of orthogonality. • ORTHOGONALITY n. the state of being orthogonal.
ORTHOGONALITY	• orthogonality n. (Mathematics, statistics, software engineering) The property of being orthogonal. • ORTHOGONALITY n. the state of being orthogonal.
ORTHOGONALIZE	• orthogonalize v. (Transitive) To make orthogonal. • ORTHOGONALIZE v. to make orthogonal, also ORTHOGONALISE.
ORTHOGONALIZED	• orthogonalized v. Simple past tense and past participle of orthogonalize. • ORTHOGONALIZE v. to make orthogonal, also ORTHOGONALISE.
ORTHOGONALIZES	• orthogonalizes v. Third-person singular simple present indicative form of orthogonalize. • ORTHOGONALIZE v. to make orthogonal, also ORTHOGONALISE.
ORTHOGONALIZING	• orthogonalizing v. Present participle of orthogonalize. • ORTHOGONALIZE v. to make orthogonal, also ORTHOGONALISE.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the 1Word.ws and WikWik.org.

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English Wiktionary: 13 words
Scrabble in French: 2 words
Scrabble in Spanish: no word
Scrabble in Italian: no word
Scrabble in German: no word
Scrabble in Romanian: no word

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