In other words, "the religious actions or circuмstances … which are apart from those which are of the essence, or substance of the sacrifice"
Dear jdfaber,
Part of the essence, or substance of the sacrifice is the Offertory. The Canon contains the substance of the sacrifice, it is part of it and cannot be separated from it.
For instance: these are the words introducing the Transubstantiation:
Tenens ambabus manibus Hostiam inter indices et pollices, profert verba consecrationis secrete, distincte, et attente super Hostiam, et simul super omnes, si plures sint consecrandae. Without this rubric a priest may say the following words of Hoc est enim Corpus meum, just as he would read them from a Bible or as you just read them. We are so used to priests knowing what to do, that we forget that someone had to teach them, these instructions are contained in the rubrics.
I have an idea why our minds do not meet on this.
1)The sacrifice is a wider term from Transubstantiation, the Offertory is required for the sacrifice, but not for Transubstantiation. Without the Offertory, what happens is not a sacrifice. So a priest saying the words of Transubstantiation outside of the Mass, without the use of rubrics, does not offer a sacrifice.
2)Absence of the rubrics will cause a priest to merely say the words without connecting them with the matter and displaying the proper intention. The sacrifice will not take place, because there will be no Sacrament.
In conclusion: the religious actions and circuмstances provided in the Canon are not apart from those which are of the essence, or substance of the sacrifice.
In other words: the Canon is not the substance of the sacrifice, but is not apart from it.