Joints: a link ratio between an angle and a distance is per degree (#1433)

A motion link's ratio is read in b's units per a's (mm per degree, degrees per mm) when an angle and a distance are linked; stored values stay per radian, so saved designs are unchanged. Follow-up to #1415.

Co-authored-by: SychPL <SychPL@users.noreply.github.com>

skills/solidcraft-mechanisms/SKILL.md

@@ -40,7 +40,7 @@ Written against SolidCraft `main` after 0.11.1, which counts the degrees of free
 - **Every chain must reach something grounded.** A part that is neither grounded nor joined to a grounded part is never placed. A drive on a joint in that chain moves nothing and answers `moved: false`, with a `reason` and the part joined to nothing as `unconnected`. `joint.list` lists such chains under `floating`, and their occurrences have `dof: 6`. Fix it with `joint.rigid_group {"occurrences":["Frame:1", ...]}`, or with a joint to the grounded structure.
 
 ## Linked and closed motion
-- **Motion links:** `joint.motion_link {"a":..., "b":..., "ratio":r, "offset":o}` sets b = r·a + o, clamped to b's own limits. `offset` is in b's units: degrees for an angle, mm for a distance, or an expression. A mirrored part takes `ratio: -1`, and limits mirrored too. Chains (a drives b, b drives c) work in any order of creation. Drive only the head of a chain.
+- **Motion links:** `joint.motion_link {"a":..., "b":..., "ratio":r, "offset":o}` sets b = r·a + o, clamped to b's own limits. `ratio` is b's units per a's: a pinion that moves its rack 0.5 mm per degree takes `ratio: 0.5`. `offset` is in b's units: degrees for an angle, mm for a distance, or an expression. A mirrored part takes `ratio: -1`, and limits mirrored too. Chains (a drives b, b drives c) work in any order of creation. Drive only the head of a chain.
 - **Closed loops:** an actuator between a frame and a hinged panel takes three joints besides the hinge:
   - a revolute root pin (frame and barrel)
   - a slider (barrel and rod), with z along the actuator from root to tip on both origins, both at the root pin, and the stroke as its limits

skills/solidcraft-mechanisms/reference.md

@@ -61,7 +61,7 @@ A slider's value grows as b moves along +z of its origin. Give its two origins t
 - `joint.create` and `joint.as_built` start the joint at its `values` (default 0). A value outside the limits starts at the nearer limit, and the reply's `warnings` say so: the part turned as it was joined.
 - `joint.as_built` takes occurrences, not origins. `at` is the joint's frame (default: b's component origin).
 - `joint.rigid_group` joins every occurrence to the first one with a rigid as-built joint.
-- `joint.motion_link`: b = ratio·a + offset, clamped to b's limits. `offset` is in b's units: degrees for an angle, mm for a distance, or an expression such as `"10 deg"`. `joint.list` gives each link's `offset` with its `unit`. `ia`/`ib` pick a value of a multi-value joint (default 0). `joint.delete {"link": n}` removes link n (its index in `joint.list` `links`).
+- `joint.motion_link`: b = ratio·a + offset, clamped to b's limits. `ratio` is in b's units per a's: mm per degree when an angle drives a distance (a pinion of pitch radius r moves its rack r·π/180 mm per degree), degrees per mm the other way, and a plain factor between two angles or two distances. `offset` is in b's units: degrees for an angle, mm for a distance, or an expression such as `"10 deg"`. `joint.list` gives each link's `ratio` the same way and its `offset` with its `unit`. `ia`/`ib` pick a value of a multi-value joint (default 0). `joint.delete {"link": n}` removes link n (its index in `joint.list` `links`).
 - `joint.drive`: `values` drives the values it lists, in order (`Spindle` above is cylindrical: 30 degrees, then 5 mm), and `value` the first; values left out keep theirs, or follow in a closed loop. Values are clamped to the limits. The reply gives `values` as `joint.list` does (`{name, value, unit, limits}`), and `moved`; when the joint can move nothing, a `reason`.
 - `motion.study {"study":..., ...}` edits a study; `keys` given replace all keys.
 - `motion.play` sets the joints to the study's values at a step (fractions work) and changes the design. `motion.export` does not change it.