Definitions taken from The Penguin Dictionary of Architecture by John Fleming, Hugh Honour, and Nikolaus Pevsner, third edition, 1980, Penguin Press.
If a dome is to be erected on a square base, members must be interpolated at the corners to mediate between the square and the circle. They can be pendentives or squinches. A pendentive is a spherical triangle; its curvature is that of a dome whose diameter is the diagonal of the initial square. The triangle is carried to the height which allows the erection on itstop horizontal of the dome proper. A squinch is either an arch or arches of increasing radius projecting one in front of the other, or horizontal arches projecting in the same manner. If squinches are placed in the corners of the square and enough arches are erected on them they will result in a suitable base-line for the dome. In all these cases the dome will have the diameter of the length of one side of the square. It can be placed direct on the circular base-line, when this is achieved, or a drum, usually with windows, can be interpolated. If the dome has no drum and is segmental, it is called a saucer dome. If it has no drum and is semi-circular, it is called a calotte.
Another method of developing a dome out of a square is to take the diagonal out of the square as the diameter of the dome. In this case the dome starts as if by pendentives, but their curvature is then continued without any break. Such domes are called sail vaults, because they resemble a sail with the four corners fixed and the wind blowiing into it.
A domical vault is not a dome proper. If on a square base, four webs (CELLS) rise to a point seperated by GROINS (see VAULT). The same can be done on a polygonal base..
For geodesic dome, see FULLER.
An umbrella, parachute, pumpkin or melon dome is a dome on a circular base, but also divided into individual webs, each of which, however, has a baseline curved segmentally in plan and also curved in elevation.
A fan vault consists of solid concave-sided semi-cones, meeting or nearly meeting at the apex of the vault. The areas between are flat and, if the cones meet, form concave-sided lozenges. The cones and centres are decorated with panelling so a s to give the appearance of a highly decorated rib vault.
A groin vault is produced by the intersection at right angles of two tunnel vaults of identical shape.
Handkerchief vault, see DOME.
Lierne. A tertiary rib, that is, one which does not spring either from one of the main springers or from the central BOSS. A lierne vault is a ribbed vault with liernes.
A ploughshare vault or stilted vault has the wall ribs sprung from a higher level than the diagonal ribs, in order to increase the light from a clerestory window.
In a quadripartite vault one bay is divided into four quarters or CELLS.
A rampant vault is a wagon vault with abutments at different heights.
A rib vault is a framework of diagonal arched ribs carrying the cells which cover in the spaces between them.
Ridge-rib. The rib along the longitudinal or transverse ridge of a vault, at an angle of approximately 45 degrees to the main diagonal ribs.
Sail vault, see DOME.
In a sexpartite vault one bay of quadripartite vaulting is divided transversely into two parts so that each bay has six compartments.
Shell vault
Definitions taken from The Penguin Dictionary of Architecture by John Fleming, Hugh Honour, and Nikolaus Pevsner, third edition, 1980, Penguin Press.