The beautiful necessity; seven essays on theosophy and architecture . WBST 51DE. PORjCH OF THE/ CARYATIDES 62 68 THE BEAUTIFUL NECESSITY generating arcs form the vesica piscis, of so frequent occurrence in earlyChristian art; two symmetrically intersecting equilateral triangles yield thefigure known as Solomons Seal, or the Shield of David, to which mysticproperties have always been ascribed.. It may be stated as a general rulethat whenever three important pointsin any architectural composition coin-cide (approximately or exactly) withthe three extremities of an equilateraltriangle, it makes f
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The beautiful necessity; seven essays on theosophy and architecture . WBST 51DE. PORjCH OF THE/ CARYATIDES 62 68 THE BEAUTIFUL NECESSITY generating arcs form the vesica piscis, of so frequent occurrence in earlyChristian art; two symmetrically intersecting equilateral triangles yield thefigure known as Solomons Seal, or the Shield of David, to which mysticproperties have always been ascribed.. It may be stated as a general rulethat whenever three important pointsin any architectural composition coin-cide (approximately or exactly) withthe three extremities of an equilateraltriangle, it makes for beauty of propor-tion. An ancient and notable exampleoccurs in the pyramids of Egypt, thesides of which, in their original con-dition, are believed to have been equi-lateral triangles. It is a demonstrablefact that certain geometrical intersec-tions yield the important proportionsof Greek architecture. The perfectlittle Erechtheum would seem to havebeen proportioned by means of theequilateral triangle and the angle of60 degrees, both in general and indetail (Illustration 62). The sameangle, erected from the central axis ofa column at the point where it inter-sects the architrave, determines boththe projection of the cornice and the THR BQUILATE-RAL TEJANOLE, INRQ/AAN ARCHITECTURE