Abstract

This article comprises three parts. The first section deals with the evaluation of geometry & its relation to the parallelism among the main three fold worlds [intellectual world, absolute imagination world, & material world]. In this section, we considered Pythagoreans, Plato, Ibn Sina, Ekhvan alsafa, Abu Reyhan Biruni and Rene Guene view points about the symbolic position of geometry & its relation to the spiritual insights. In the thoughts of these figures, geometry describes the super natural realm & cosmic lives of the heavens by a philosophic language & by offering interior insights leads the soul to the real existence. In Ekhvan alsafa's view points, geometry splits into two Categories of sensible & rational & both are considered as a new way in recognition of the wisdom essence & the nature of the soul. The second section deals with geometric position of the existence system in creating the order & unity of the world components. In this section the cosmic orderlines & parallelism of the symbolic appearance of god's justice in proportion to the inner merit &, in other words, the worth of every thing are explained. Third section is allocated to the relationship between geometry & monotheism insights & also some meanings of geometric symbols. The presence of geometric structure in the abstract styles of geometric ornaments, Islamic, Khatayi or architectural forms & volumes is adopted from the holy principle of monotheism. The essence of monotheism in the field of visual imagination is manifested in the geometric crystallized forms & by itself forms the essence of the Islamic art. At the end of this section we deal with the meanings of the main geometric symbols: point, triangle, circle & square in the obtained view points.