Points & Lines: 3

The line which connects two points and creates a balance between them is a revelation of the will of Hashem.

This can be compared to two students who are at odds with each other. When their teacher voices his opinion which incorporates part of each student's view, they accept his direction and are connected by this compromise approach. This is the line that creates balance.

The ability of the teacher to propose an acceptable compromise approach is predicated on the fact that the mindset of each of his students is based on his teachings. Only that each student then interpreted his words in a way that fit their own mindset. He can therefore find a means of uniting them and finding common ground.

So, too, each of the Sefiros is an emanation of the will of Hashem. Even if they each manifest themselves individually in their own way, at the root they have a balanced connection.

Points & Lines: 2

When we view the various Sefiros as points or concentric circles, that indicates each Sefirah as standing alone. It is what it is and has no connection to any other Sefriah. Chesed is unadulterated Chesed. Gevurah is Gevurah. As such, they are incompatible with one another. Love is not anger. Chesed is not Din. Each one feels its own sphere is everything.

The line creates the ability to resolve these incompatibilities. A line connects points to each other. It indicates a relationship between the Sefiros and a balance being created between them to afford compatibility. It indicates the actualization of that Sefriah.

The actualization, the bringing forth into the world where it must interact with others, is what enables it to be tempered and to find a means of compatibility with others.

Points & Lines: 1

Kabbalistic works frequently use geometric terms such as points and lines.

The basic understanding is that a point represents the essence of something as it is. It is unconnected and not relating to anything else. A point, visualized as a round circle - whose end reaches back around to its beginning - is  self-contained entity.

A line represents a connection between points. In Kabbalistic terms it would represent a relationship being developed between two concepts that had until now seemed unconnected and possibly in conflict.