Anhydrous fluid composition comprising, in a cosmetically acceptable medium: a) at least one oily phase and b) at least one triazine UV filter of the following formula: in which the radicals A 1, A 2 and A 3, which may be identical or different, denote a group with the following formula: - one or two of the groups X a -R a represent the radical -NH-R a with R a selected from: a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of the following formula (α), (β) or (ε): in which: - R 8 is hydrogen or a C 1 -C 4 alkyl radical, preferably methyl; - R 9 is C 1 -C 4 alkyl and preferably methyl; - q is an integer from 0 to 3; - r is an integer from 1 to 10; - A is a C 4 -C 8 alkyl radical or a C 5 -C 8 cycloalkyl radical; - B is a C 1 -C 4 alkyl radical; - the other two X a -R a being the radical -O-R a with R a, which may be identical or différent, selected from: hydrogen; an alkali metal; an ammonium radical optionally substituted with one or more alkyl or hydroxyalkyl radicals; a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of formula (α), (β) or (ε) as defined above; c) at least one rheological agent for thickening or gelling the oily phase. a) at least one oily phase and b) at least one triazine UV filter of the following formula: in which the radicals A 1, A 2 and A 3, which may be identical or different, denote a group with the following formula: - one or two of the groups X a -R a represent the radical -NH-R a with R a selected from: a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of the following formula (α), (β) or (ε): in which: - R 8 is hydrogen or a C 1 -C 4 alkyl radical, preferably methyl; - R 9 is C 1 -C 4 alkyl and preferably methyl; - q is an integer from 0 to 3; - r is an integer from 1 to 10; - A is a C 4 -C 8 alkyl radical or a C 5 -C 8 cycloalkyl radical; - B is a C 1 -C 4 alkyl radical; - the other two X a -R a being the radical -O-R a with R a, which may be identical or différent, selected from: hydrogen; an alkali metal; an ammonium radical optionally substituted with one or more alkyl or hydroxyalkyl radicals; a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of formula (α), (β) or (ε) as defined above; - one or two of the groups X a -R a represent the radical -NH-R a with R a selected from: a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of the following formula (α), (β) or (ε): in which: - R 8 is hydrogen or a C 1 -C 4 alkyl radical, preferably methyl; - R 9 is C 1 -C 4 alkyl and preferably methyl; - q is an integer from 0 to 3; - r is an integer from 1 to 10; - A is a C 4 -C 8 alkyl radical or a C 5 -C 8 cycloalkyl radical; - B is a C 1 -C 4 alkyl radical; - the other two X a -R a being the radical -O-R a with R a, which may be identical or différent, selected from: hydrogen; an alkali metal; an ammonium radical optionally substituted with one or more alkyl or hydroxyalkyl radicals; a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of formula (α), (β) or (ε) as defined above; - R 8 is hydrogen or a C 1 -C 4 alkyl radical, preferably methyl; - R 9 is C 1 -C 4 alkyl and preferably methyl; - q is an integer from 0 to 3; - r is an integer from 1 to 10; - A is a C 4 -C 8 alkyl radical or a C 5 -C 8 cycloalkyl radical; - B is a C 1 -C 4 alkyl radical; - the other two X a -R a being the radical -O-R a with R a, which may be identical or différent, selected from: hydrogen; an alkali metal; an ammonium radical optionally substituted with one or more alkyl or hydroxyalkyl radicals; a linear or branched C 1 -C 18 alkyl radical; a C 5 -C 12 cycloalkyl radical optionally substituted with one or more C 1 -C 4 alkyl radicals; a radical of formula (α), (β) or (ε) as defined above; c) at least one rheological agent for thickening or gelling the oily phase.