So I've reaserched a while and come with this broad definitions
a projection is the representation of a 3D object in 2D by the use of "imaginary proyectors"(cameras of some sort).
it has 2 branches,
-perspective proyections : they focus on "focal points" of the drawings, and the general rule that distant objects are smaller than closer objects.
-parallel proyections: they focus on showing the images by "beam lines" that are parallel each other.
Inside parallel proyections are 2 subdivisions
--orthographic: they represent the object by frontal images of the object
--axonometric: focus in distorting the angle of the axes for the figure representation. it's broken in 2 kinds orthogonal and oblique
---orthogonal axonometry focus in the forshortening of the angles of the drawing system, it sub-divides in 3 parts
----isometric: it makes 3 angles equal ($120^\circ$ each)
----dimetric: it makes 2 angles equal
----trimetric: the 3 angles are different
---oblique axonometry focus also in the forshorthening of the angles, but with the limitation that one of them is always $90^\circ$
so by this definition is it logical to conclude that oblique axonometry is a special form of the trimetric axonometry?
If any of this definition is wrong , or could be expressed better, please tell me, also biblographical references would also be appreciated. thanks!
(also sorry for if I am not understood, English is my second language)