Notes from Mathilde Scholl 1904–1906

GA 91 — 26 October 1904, Berlin

2. Ellipse, Hyperbola, Lemniscate, Circle

An ellipse is a curved line like this, where all points are equidistant from two points. Two foci.

The ellipse is formed by adding two parts that always together form the line of equal length.

The ellipse expresses physical life in its form.

The hyperbola is formed by subtracting part of a straight line from the whole.

The distance between the two foci is equal to (a - b), i.e. (c).

The hyperbola is the line of the Prana, the ether.

The lemniscate is created by multiplication.

The lemniscate corresponds to the astral body, the Kama; it is the line that describes Kama.

The circle is created by division: a is divided by b.

The circle is the line of the mind.

For the ellipse we have two foci. The sun is one focus of the ellipse described by the planets. It is the force of attraction for them. The hyperbola also has two foci.

Präna flows into the person from the outside in and from the inside out. Two worlds flowing towards each other.

The lemniscate in the astral body flows partly downwards and partly upwards in more developed people. It gradually dissolves in the upper part as the person spiritualizes.

The circle changes only within itself, has its whole life within itself (Manas), can indeed form itself differently because it is mobile.

The parabola, the path of the comet, with two sides running into infinity, indicates a transition to other degrees of density of matter. The comet dissolves and passes into the spiritual and forms itself anew out of the spiritual.