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занять первое место stresses
gen.	be first (Anglophile); head the list (Anglophile); secure premier place; take premier place; come in first (bookworm); finish first (bookworm); win the first place (Ремедиос_П); be in first place (Ремедиос_П); bear away the prize; gain the lead; have the lead; take the bun; take the top spot (также в спорте ART Vancouver)
Игорь Миг	come in top place; be on top
chess.term.	get first place; win first prize
idiom.	take the cake (особ. в переносном смысле); hold the belt (ВВладимир)
journ.	rank first-line (MichaelBurov)
Makarov.	get the lead; score first place (в состязании); secure the premier place; take first place (в состязании); take the biscuit; take the premier place
media.	open up the lead (bigmaxus); take the lead (bigmaxus); win the lead (bigmaxus)
sport.	take first place (не "the first place", источник: wordreference.com Phyloneer); come first (igisheva); win first place (Phyloneer)
занять первое и т.д. место
gen.	finish first (second, etc., в беге, и т.п.); hold first second, etc. place

занять первое место: 24 phrases in 8 subjects

Business style	1
Chess	4
Gambling	1
General	8
Law	1
Makarov	3
Sports	4
Survey	2