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[Fluff]

little question, is it possible to use horizontal axles to make corners in a single z-level?

Eg

---|
    |
    |
     ----
Or does it have to be with gear assembly?

---*
    |
    |
    |
    *---

And if they can do that, can they also support things that need to hang over a gap, or can only gear assemblies do that?

[amade]

You need gear assy for the transition from horizontal to vertical axles.

The whole mechanical assembly needs to be supported by at least one part which rest on a stable foundation while the rest can hang and defy physics.

[Samthere]

Yes, even in a horizontal plane you need a gear assembly (or another machine that can transmit power, such as a screw pump) at the intersection of any N-S and E-W axles.
Horizontal and vertical axles can both suspend machinery provided that it's in a position that can transmit power.

e.g. if XXX represents a waterwheel suspended over a channel, - represents an E-W axle and | represents a N-S axle:
X
X-
X
  is suspended

X
X|
X
  is not suspended

(assuming the axles are on solid ground or otherwise properly suspended)

[Fluff]

Yes, even in a horizontal plane you need a gear assembly (or another machine that can transmit power, such as a screw pump) at the intersection of any N-S and E-W axles.
Horizontal and vertical axles can both suspend machinery provided that it's in a position that can transmit power.

e.g. if XXX represents a waterwheel suspended over a channel, - represents an E-W axle and | represents a N-S axle:
X
X-
X
  is suspended

X
X|
X
  is not suspended

(assuming the axles are on solid ground or otherwise properly suspended)

Thank you very much. Blech, seems a shame to use something that needs 5 times as much power, but oh well.