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をついて

with ... leaning on or resting on

→ を
phrase Rare #31,294
with ... leaning on or resting on The meaning varies with the noun: it can also mean acting despite something, as in 悪天候をついて, or getting straight to the point, as in 要点をつく.
JA: 彼女は杖をついて歩いた。
EN: She walked with a cane.

お年寄りが杖をついて歩いていた。

An elderly person was walking with a cane.

彼は私に手をついて謝った。

He apologized to me on his hands and knees.

多襄丸は女の前に両手をついて謝っていた

Tajomaru was on his hands and knees, apologizing to the woman.

— 羅生門 (1950)

テーブルにひじをついてはいけません。

Don't put your elbows on the table.

彼は悪天候をついて来た。

He came despite the bad weather.