The geographical and geometrical relationships and ratios of the mind.

[zenmaster]

I suppose that these types of polar relationships are, in part, what Ra was referring to as "geography" and "inner relationships." However, I still don't fully understand what is meant by this.

I read "Inner" as in temporal (interior) vs spatial. In time, things related to each other "resonate". This is how we come to know things through other things which have the same conceptual congruence and why analogies work to reveal information.

Ra says the last step of this particular area of learning/teaching "involves observing the geographical and geometrical relationships and ratios of the mind, the other mind, the mass mind, and the infinite mind."

Does anyone have any clarification to offer on what is meant by this? What types of ratios are there to be observed?

I think this is what you are doing every day anyway, albeit unconsciously. The idea is to become aware of how each resource is informing awareness. "Mind" is a principle. It's also ultimately "one thing" so aspects of it would be shared depending on what needed to be accessed.

What relationships are to be explored beyond these types of polar expressions (impatience/patience etc.)?

I think the idea is not for the dichotomy to present itself reduced as such, but to provide a means for the acceptance of the unbalanced condition to come to light. Usually you become aware of the feeling or emotion first, then you find the cause of the disturbance by thinking/feeling the disposition.

Also, is the "mass mind" the racial/archetypal mind?

I think the "mass mind" is anything below the personal.

"identifying both those things of which you approve and those things of which you disapprove within yourself" can be difficult.