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All architecture is based on one or more of three fundamental structural principles; that of the lintel, of the arch or vault, and of the truss. The principle of the lintel is that of resistance to transverse strains, and appears in all construction in which a cross-piece or beam rests on two or more vertical supports.

The arch or vault makes use of several pieces to span an opening between two supports. These pieces are in compression and exert lateral pressures or thrusts which are transmitted to the supports or abutments. The thrust must be resisted either by the massiveness of the abutments or by the opposition to it of counter-thrusts from other arches or vaults. Roman builders used the first, Gothic builders the second of these means of resistance. The truss is a framework so composed of several pieces of wood or metal that each shall best resist the particular strain, whether of tension or compression, to which it is subjected, the whole forming a compound beam or arch. It is especially applicable to very wide spans, and is the most characteristic feature of modern construction.

During this fifteenth century the Renaissance style matured in Italy, where it speedily triumphed over Gothic fashions and produced a marvellous series of civic monuments, palaces, and churches, adorned with forms borrowed or imitated from classic Roman art. This influence spread through Europe in the sixteenth century, and ran a course of two centuries, after which a period of servile classicism was followed by a rapid decline in taste. To this succeeded the eclecticism and confusion of the nineteenth century, to xxvwhich the rapid growth of new requirements and development of new resources have largely contributed.

In Eastern lands three great schools of architecture have grown up contemporaneously with the above phases of Western art; one under the influence of Mohammedan civilization, another in the Brahman and Buddhist architecture of India, and the third in China and Japan. The first of these is the richest and most important. Primarily inspired from Byzantine art, always stronger on the decorative than on the constructive side, it has given to the world the mosques and palaces of Northern Africa, Moorish Spain, Persia, Turkey, and India. The other two schools seem to be wholly unrelated to the first, and have no affinity with the architecture of Western lands.

Of Mexican, Central American, and South American architecture so little is known, and that little is so remote in history and spirit from the styles above enumerated, that it belongs rather to archaeology than to architectural history, and will not be considered in this work.