Engageante

Engageantes are false sleeves worn with women's clothing.

In the 18th century, engageantes took the form of ruffles or flounces of linen, cotton, or lace, tacked to the elbow-length sleeves then fashionable.

[1] In the mid-19th century, the term engageante was used for separate false sleeves, usually with fullness gathered tight at the wrist, worn under the open bell-shaped "pagoda" sleeves of day dresses.

The fashion reappeared briefly just after the turn of the 20th century.

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Eleanor Frances Dixie by Henry Pickering, painted c. 1753 . Sack-back gown worn with embroidered lawn engageantes.
Fashions of 1861 show linen or cotton engageantes worn under pagoda sleeves.