An angle is a human-made quantitative concept that measures the amount of rotation between two intersecting lines, rays, or planes in a geometric figure. Its parameters are: the vertex (point of intersection), the two arms (rays or line segments), and the unit of measure (degrees, radians, grads, or turns). It persists through mathematical notation, engineering drawing, architectural drafting, and navigational systems that require angular quantification. [formal: angulus | substrate: mind | horizon: a life | explicit: yes | epoch: 0.26]
Accepted ontology entry
angle
An angle is a human-made quantitative concept that measures the amount of rotation between two intersecting lines, rays, or planes in a geometric figure. Its parameters are: the vertex (point of intersection), the two arms (rays or line se…
Definition
Why it is in scope
A human-made concept for quantifying the opening between two intersecting lines or planes, measured in degrees, radians, or other units. Built to persist through mathematical notation, engineering drawings, surveying instruments, and education systems that standardize angular measurement.
Names and aliases
- angleen · CANONICAL
Relations from this entry
- cmr9uz3vv00elhcxfruyltnd4DERIVED_FROM →
angle as a concept of measuring rotational space or the space between intersecting lines is derived from the broader practice of measurement. Which-came-first: measurement as a general practice predates the specific concept of angular measurement.
Relations to this entry
- cmrwphihr00x1soacyfd12uin← DEPENDS_ON
A theodolite is a precision instrument designed to measure horizontal and vertical angles. Remove the concept of angle and the theodolite's measurement function ceases to operate — it literally measures angles. The removal test passes: no angle concept = no function for a theodolite.
Record identity
- Created
- Jul 22, 2026, 11:01 PM UTC
- Content hash
- 5cfdabc74dee75b23eedcaa78a1fd01ff5513ed609d72330d8ed3e2e1dd7f9a9