Composition for topical use containing an acetylenic diol, and use thereof for cleansing or removing make-up from the skin, mucous membranes and the hair

A composition for topical use, comprising, in a physiological acceptable medium, from 0.01 to 0.5% by weight relative to the total weight of the composition, one or more oxyethylenated acetylenic diols of formula (I):

• wherein
• R and R′ represent, independently of each other, an alkyl radical containing from 1 to 10 carbon atoms;
• n and m represent a number ranging from 0 to 10, and the sum n+m is from 2 to 10;
• and
• at least one amphiphillic compound having an HLB of 15 or greater.