The phrase "a path on a" is correct and usable in written English.
It can be used when describing a specific route or direction related to a particular context, such as a journey, a process, or a metaphorical path.
Example: "We need to find a path on a map that leads us to the nearest gas station."
Alternatives: "a route on a" or "a trail on a".
His blue slacks were still creased, and a fresh cigar was in his mouth as he stood beside Huston examining the site for a scene — to be shot some afternoon — that would show the Youth coming upon a line of wounded men, who would be moving down a path on a slope.
Aberglaslyn Mountain Rescue deployed 11 volunteers and the injured man was lowered down a path on a stretcher.
As a first step, we address the design of a single route, modeled as a path on a directed graph between two given nodes, maximizing a utility function related to the attractiveness of the path.
To generate simultaneous axes motion under the condition of closed kinematic chain, the central ball is defined as origin of the workpiece coordinate frame and the probe is driven along a path on a spherical test surface with the central ball as center.
We are down a path on a "Party Down" movie -- John Enbom is working on a script for it, we've broken out the movie -- we've gone down a traditional path on that.
The reload cost concept refers to the cost that occurs at a vertex along a path on an edge-colored graph when it traverses an internal vertex between two edges of different colors.
Each conversation opens a door and creates a path on which we can journey forward, one step at a time.
After the second cottage on the right, take a path on right (with a Public Path sign).
Go through a gate on to an enclosed footpath and follow it to a junction with a path on the right.
Nodes of this graph represent detections and a path on the oriented graph represents a cluster.
He blazed a path on how to run a proper digital campaign.
