Some occultists use the triangle as a summoning symbol. Triangles and other three-part symbols may present such concepts as past, present, and future or spirit, mind, and body. Pythagoras associated the number 3 with triangles, which is meaningful to many groups. Because the Christian God is a trinity-Father, Son, and Holy Ghost united in a single godhead-he is commonly represented by a triangle. In Western society, equilateral triangles most often have Christian meanings in religious contexts. The element of spirit, seen as an element equal to or superior to the physical elements of fire, air, water, and earth, is commonly represented by a circle. The same symbol is used to represent gold, which is strongly associated with the sun. The astrological symbol of the sun is a circle with a dot in the middle. The circle is also used nearly universally to represent the sun and/or the moon, or things associated with those bodies. Ouroboros is also found in Aztec and Norse mythologies. First attested in the New Kingdom Egypt in the 10th-11th century BCE, the ouroboros represents the cycle of rebirth, completion, unification of polarities, regeneration, and eternity. The ouroboros (Greek for "tail swallower") is a circular symbol representing a snake or dragon feeding off its own tail, or two such creatures feeding off each other's tails. Circles can also represent containing, keeping what is inside from been released. In occult practices, standing within a circle shields people from supernatural dangers or outside influences. In Chinese symbology, the circle represents the heavens.Ĭircles are also often seen as protective symbols. Circles are sometimes symbols of the Judeo-Christian God and sanctity, appearing as haloes. In the Zen Buddhist philosophy, a circle stands for enlightenment and perfection in unity with the primal principles. He associated the circle with the number 1 and the practice of monotheism. Pythagoras called the circle "monad," the most perfect of creative forms, without beginning or end, without sides or corners. So all other quadrilaterals are irregular.Circles are among the oldest of geometric symbols, and commonly represent unity, wholeness, and infinity. The only regular (all sides equal and all angles equal) quadrilateral is a square. and that's it for the special quadrilaterals. one of the diagonals bisects (cuts equally in half) the other.the diagonals, shown as dashed lines above, meet at.The KiteĮach pair is made of two equal-length sides that join up. (the US and UK definitions are swapped over!)Īn Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles. NOTE: Squares, Rectangles and Rhombuses are allĪ trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.Īnd a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: Also opposite anglesĪre equal (angles "A" are the same, and angles "B" The ParallelogramĪ parallelogram has opposite sides parallel and equal in length. In other words they "bisect" (cut in half) each other at right angles.Ī rhombus is sometimes called a rhomb or a diamond. The RhombusĪ rhombus is a four-sided shape where all sides have equal length (marked "s").Īlso opposite sides are parallel and opposite angles are equal.Īnother interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Let us look at each type in turn: The Rectangle Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. There are special types of quadrilateral: They should add to 360° Types of Quadrilaterals Try drawing a quadrilateral, and measure the angles. interior angles that add to 360 degrees:.(Also see this on Interactive Quadrilaterals) Properties
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