Enodandum

Meaning: Sir Thomas kindly provides definition and etymology in the Lexicidion at the end of Trissotetras:

that which is to be resolved and explicated, declared, and made manifest; from enodo, enodare, to unknit, or cut away the knot. 

Usefulness: 1 ("What is my first enodandum for the day, Alex?" In the quote below, Sir Thomas pluralises it as enodanda but then adds the English s as well: enodandas.)

Logofascination: 1 (While this is not yet in the dictionary, enode - to loose or untie; enodous - free from knots; and enodable - capable of being freed from knots; are all in the OED, and should be used more often.)

In the wild: No.

Degrees: 0

Connections: n/a

Used in: Trissotetras; why use boring words for trigonometrical concepts when you can invent your own?  

The directory of this axiome is Vphechet, which sheweth us that there be three planorectangular enodandas belonging thereto, viz. Vphener, Echemun, and Etenar; as for Pserelema, which is the Loxogonian one pointed at in my Trissotetras, because it is but a partiall enodandum I have purposely omitted to mention it in the directory of Eradetul.  

Sir Thomas wanted words to be self-evident, so Vpechet is Vphener, Echemun and Etenar combined - I really haven't got my head around it, but I think they are the angles to be discovered in this particular situation. Trissotetras is online here, if you'd like to check for yourself.  If you'd like to see what something like might read like in regular English, have a look here.