The invention relates to a curved glass pane, made of float glass, the area of a main face of which is greater than 1.5 m2 and the product of its two depths of bending is greater than 3000 mm2, and such that its point located on the normal to its surface passing through its center of gravity has a radius of curvature of less than 3 m in any direction, the variation in its thickness in the longitudinal float direction being less than 10 μm over 500 mm. This pane may be assembled into laminated glazing of the automobile windshield type. Such a windshield has a very small amount of double imaging even when it is fitted into the vehicle so as to be close to the horizontal.