A method of making a curved, arcuately-bonded liquid-crystal cell, the method comprising: depositing an edge adhesive along a picture-frame border of an inwardmost major surface of a first optically-transparent, flexible, multilayer glass-based substrate; depositing a liquid-crystal material onto an interior area of the inwardmost major surface of the first optically-transparent, flexible, multilayer glass-based substrate or onto an interior area of an inwardmost major surface of a second optically-transparent, flexible, multilayer glass-based substrate; then, bringing the first and second substrates (140, 142) together so that the edge adhesive is in contact with the inwardmost major surface of the first substrate and with the inwardmost major surface of the second substrate; then, bending the first substrate and the second substrate into a congruently curved configuration by urging the first and second substrates (140, 142) against a curved surface of a mandrel; then, curing the edge adhesive while the first substrate and the second substrate are held in the congruently curved configuration, to produce a curved, arcuately-bonded liquid-crystal cell; wherein the edge adhesive is a photo-curable adhesive and a source of electromagnetic radiation is activated to photo-cure the edge adhesive, characterized in that the first substrate and the second substrate e are simultaneously bent into said congruently curved configuration by urging the first and second substrate (140, 142) against said curved surface of the mandrel, and in that said source of electromagnetic radiation is positioned on an opposite side of the mandrel from the curved surface against which the first and second substrates (140, 142) are urged to photo-cure the edge adhesive through a transparent portion of the mandrel. depositing an edge adhesive along a picture-frame border of an inwardmost major surface of a first optically-transparent, flexible, multilayer glass-based substrate; depositing a liquid-crystal material onto an interior area of the inwardmost major surface of the first optically-transparent, flexible, multilayer glass-based substrate or onto an interior area of an inwardmost major surface of a second optically-transparent, flexible, multilayer glass-based substrate; then, bringing the first and second substrates (140, 142) together so that the edge adhesive is in contact with the inwardmost major surface of the first substrate and with the inwardmost major surface of the second substrate; then, bending the first substrate and the second substrate into a congruently curved configuration by urging the first and second substrates (140, 142) against a curved surface of a mandrel; then, curing the edge adhesive while the first substrate and the second substrate are held in the congruently curved configuration, to produce a curved, arcuately-bonded liquid-crystal cell; wherein the edge adhesive is a photo-curable adhesive and a source of electromagnetic radiation is activated to photo-cure the edge adhesive, characterized in that the first substrate and the second substrate e are simultaneously bent into said congruently curved configuration by urging the first and second substrate (140, 142) against said curved surface of the mandrel, and in that said source of electromagnetic radiation is positioned on an opposite side of the mandrel from the curved surface against which the first and second substrates (140, 142) are urged to photo-cure the edge adhesive through a transparent portion of the mandrel.