The extra 'T' in Latitude was definitely a typo, the correct property is the way it's supposed to be spelled. It's already been corrected in the code.
Lat/Long probably should be entityProperties - in RDF, there's not really any difference between a "relationship" and an "entityproperty" - they're both "predicates" that can be used in triples. Originally everything was just a "relationship" in the Brick ontology, but in newer versions of Brick we added EntityProperty and have been adding some things there - Lat and Long just predate that so that's why they're still in 'Relationship' - we should probably move them to entity property just to make the documentation a bit more clear, but there's functionally no difference.
-Erik