Cosmetic use of at least one glycoside chosen from glycosides having the following general formula (I): Sacc-(CH 2 ) i -X-R (I) in which: - Sacc represents a monosaccharide or a polysaccharide comprising up to 20 sugar units, in the form of pyranose and/or furanose and L and/or D serie, said mono- or poly-saccharide being possibly substituted by a necessarily free hydroxy group, and/or possibly one or several amine function(s) that are possibly protected; - i is 0 or 1; - X is a heteroatom, or is chosen from the group consisting of the -C(R a )=N-O-, -C(=O)-, -C(=S)-, -C(-SR a ) and -C(R b )(R c )- groups, R a representing H or a linear or branched (C 1 -C 6 )alkyl group, R b and R c , are identical or different, representing H or a group chosen from the group consisting of hydroxy, alkoxy(C 1 -C 6 ), alkoxy(C 1 -C 6 )amino, alkoxy(C 1 -C 6 )ammonium, alkoxy(C 1 -C 6 )-diamino, amino, (C 1 -C 6 )alkylamino, di((C 1 -C 6 )alkyl)amino, hydroxy(C 1 -C 6 )alkylamino, di(hydroxy(C 1 -C 6 )alkyl)amino, and (hetero)arylamino groups; - R represents a (C 1 -C 10 )alkyl, linear or branched, said alkyl group being possibly substituted by at least one substituent chosen from the group consisting of OR a , -C(O)OH and -C(O)OR" 2 , R" 2 being a linear or branched (C 1 -C 4 )alkyl group; or R represents a (C 1 -C 4 )alkyl(C 6 -C 10 )aryl group, said aryl group being possibly substituted by at least one substituent OR e , R e representing H or a linear or branched (C 1 -C 6 )alkyl group; the Sacc-(CH 2 ) i -X bond representing a bond of a C-anomeric nature, which can be α or β, as well as the salts thereof, the solvates thereof such as hydrates and the optical and geometric isomers thereof, in order to increase the diameter of the hair fiber. - Sacc represents a monosaccharide or a polysaccharide comprising up to 20 sugar units, in the form of pyranose and/or furanose and L and/or D serie, said mono- or poly-saccharide being possibly substituted by a necessarily free hydroxy group, and/or possibly one or several amine function(s) that are possibly protected; - i is 0 or 1; - X is a heteroatom, or is chosen from the group consisting of the -C(R a )=N-O-, -C(=O)-, -C(=S)-, -C(-SR a ) and -C(R b )(R c )- groups, R a representing H or a linear or branched (C 1 -C 6 )alkyl group, R b and R c , are identical or different, representing H or a group chosen from the group consisting of hydroxy, alkoxy(C 1 -C 6 ), alkoxy(C 1 -C 6 )amino, alkoxy(C 1 -C 6 )ammonium, alkoxy(C 1 -C 6 )-diamino, amino, (C 1 -C 6 )alkylamino, di((C 1 -C 6 )alkyl)amino, hydroxy(C 1 -C 6 )alkylamino, di(hydroxy(C 1 -C 6 )alkyl)amino, and (hetero)arylamino groups; - R represents a (C 1 -C 10 )alkyl, linear or branched, said alkyl group being possibly substituted by at least one substituent chosen from the group consisting of OR a , -C(O)OH and -C(O)OR" 2 , R" 2 being a linear or branched (C 1 -C 4 )alkyl group; or R represents a (C 1 -C 4 )alkyl(C 6 -C 10 )aryl group, said aryl group being possibly substituted by at least one substituent OR e , R e representing H or a linear or branched (C 1 -C 6 )alkyl group; the Sacc-(CH 2 ) i -X bond representing a bond of a C-anomeric nature, which can be α or β, as well as the salts thereof, the solvates thereof such as hydrates and the optical and geometric isomers thereof, in order to increase the diameter of the hair fiber. <EOS>