Difference between convexo-concave and concavo-convex lenses?

In both types, (convexo-concave or concavo-convex) the lens has one convex and one concave side.

Convexo-concave : The concave face has a greater degree of curvature than the convex face.

Concavo-convex : The convex face has a greater degree of curvature than the concave face.

The images are as follows:

Now a days these lenses are referred as convex-concave or meniscus. It is this type of lens that is most commonly used in corrective lenses.

Convex-concave (meniscus) lenses can be either positive or negative, depending on the relative curvatures of the two surfaces. A negative meniscus lens has a steeper concave surface and will be thinner at the centre than at the periphery. Conversely, a positive meniscus lens has a steeper convex surface and will be thicker at the centre than at the periphery.