"Two, the dyad, is expressed in the figure of the vesica piscis and is the power of all duality, contrast, and manyness--for example, male/female, heaven/earth, left/right.
"Three, the triad, introduces a mean between the two extremes, the power to bring order and harmony to manyness. In the Pythagorean tradition, the soul is the mean that unites the mortal and immortal and binds them into a whole. In geometry, the triangle is born from the vesica piscis as the first plane figure with its three equal lines and angles."
It also occurs to me, reading this, that adding a third point to a line established by two points creates a ratio, and ratio is central to the Pythagorean (and indeed Hellenic) way of examining the world.
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"Two, the dyad, is expressed in the figure of the vesica piscis and is the power of all duality, contrast, and manyness--for example, male/female, heaven/earth, left/right.
"Three, the triad, introduces a mean between the two extremes, the power to bring order and harmony to manyness. In the Pythagorean tradition, the soul is the mean that unites the mortal and immortal and binds them into a whole. In geometry, the triangle is born from the vesica piscis as the first plane figure with its three equal lines and angles."
It also occurs to me, reading this, that adding a third point to a line established by two points creates a ratio, and ratio is central to the Pythagorean (and indeed Hellenic) way of examining the world.