Originally posted by skywalker red
does anyone know what the term squaring the circle meant for an alchemist?
Found this, which covers it pretty good.
Squaring the Circle
Quadrature or squaring the circle is an ancient, unsolvable geometry problem. (Famously, there are three such problems, and all have been given mystical interpretations.) It is also a metaphor for any humanly impossible task. As such, Dante used it to illustrate the impossibility of achieving the Beatific Vision by dint of human efforts alone—God’s saving grace is required, a gift of love. This metaphor for that which is unattainable (except as a gift from God) is used in the final lines of the Commedia.
"Like a geometer wholly dedicated
to squaring the circle, but who cannot find
think as he may, the principle indicated—
so did I study the supernal face.
I yearned to know just how our image merges
into that circle, and how it there finds place;
but mine were not the wings for such a flight.
Yet, as I wished, the truth I wished for came
cleaving my mind in a great flash of light.
Here my powers rest from their high fantasy,
but already I could feel my being turned—
instinct and intellect balanced equally
as in a wheel whose motion nothing jars—
by the Love that moves the Sun and the other stars."
(John Ciardi translation.)
Thus in Dante, squaring the circle is not merely symbolic of the impossible, but more specifically of mystical union with God as a human impossibility which may nonetheless be achieved. The expression is even richer than merely being a math problem with no solution, because of the symbolism entailed in the two geometric forms it relates. Squaring the circle very neatly expresses the desire to reconcile unity with multiplicity, the One with the many, (multiplicity often being analyzed according to a fourfold scheme.) In her 1980 book, Jung and Tarot, Sallie Nichols compared this squaring of the circle in Dante to the World card in the Tarot de Marseille style of deck, which she argued was emblematic of squaring the circle.
The idea that spirit and flesh, heaven and earth, belong together as equal parts of a unified whole is reiterated pictorially in the four corners of The World. In the upper corners appear two winged beings and in the lower corners, two beasts of the earth.... Together they form a square which contains within it the mandorla. The overall design of this card, which is essentially a circle encompassed by a square, brings together earthly and heavenly reality, present development and future potential, in a beautiful way. In the words of Walt Whitman:
"I am an acme of things accomplished
And I am an enclosure of things to be."
In alchemy, the miracle of self-realization, the harmonious union of earthly and heavenly truth, was called “the squaring of the circle”.
Hope that helps.
SOURCE: http://tinyurl.com/7rgb3