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To illustrate the problem of Einstein's naming conventions, I write now, what these names actually meant:What you say is very interesting.
K is a cartesian coordinate system, assumed to be at rest, non-rotating and unaccelerated in an Euclidean space, which is assumed to 'flat' and force free.
The orientations of the axes (of x, y and z) were not mentioned, but I use this setting:
x points right
y points 'inside' (if x and z define a two-dimensional plane, like the one you draw on)
z points up (because z is usually used for hight)
k is an equally normed coordinate system, which moves with velocity v along the x-axis of K 'to the right'. The coordinates had Greek letters as names (xsi, eta, zeta).
K' is a coordinate system with the same features as K, but which moves from the center of k along the xsi-axis of k 'to the left' with velocity -v
k' is the same, but moving to the left with velocity -w along the xsi-axis of k. (the difference between K' and k' is a diffent velocity w in case of k').
But how could possibly anybody interpret the names K, k, K' and k' in this way?
It required careful investigations to find out, what was actually meant.
And the used names themselves gave absolutely no hints, about how these symbols shall be interpreted.
In short: it is a very obscure system to name things!
Usually you need to find a way, by which things get names in a consistent manner, which the reader could eventually remember
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