Published
line
vr.tr.line · thing-q37105
Let an agent handle lines by definition, representation, relations (parallel, perpendicular, intersecting) and uses in geometry and data.
Thing Registry Cross-cutting context XCT.QTY
Bundle → Layer → Finding → QuestionsClassifiersWhat it isWhy it existsDistinguishing featuresWhat robots and AI may and may not doMoral aspectsOwnersLinks to other meta-modelsIdentity and identifiersDirect propertiesRecognitionCapabilities and actionsHazards and failure modesStandards and interfacesContext of useSources
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Definition Which line.
Form
Points or equation.
Form
How the line is defined.
- How is the line defined? definition
- Is it a line, segment or ray? boundary
Space
Plane or space.
Space
The space.
- In which space does the line lie? definition
- Which coordinate system? definition
Relations With other lines.
Relative position
Parallel, intersecting.
Position
Relative position.
- Is it parallel, perpendicular or intersecting with another line? measurement
- Where do they intersect? measurement
Angle
Between lines.
Angle
Angle between lines.
- What angle does it make with another line? measurement
- How precise is it? measurement
Data Lines in statistics.
Fit
Regression.
Fit
Fitted line.
- What are the slope and intercept, and how well does it fit? measurement
- Is a line appropriate for the data? boundary
Extrapolation
Beyond data.
Extrapolation
Extrapolation risk.
- Is the line used beyond the data range? boundary
- What justifies it? provenance
Drawing Lines in drawings.
Line types
Continuous, dashed.
Line types
Line conventions.
- What does this line type mean in the drawing? definition
- Which standard applies? provenance
Rendering
On screen.
Rendering
Rendering issues.
- Is the line rendered accurately at this scale? boundary
- Is it accessible to colour-blind users? boundary
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- thing
- Plane
- XCT
- Domain
- XCT.QTY
- Other names and narrower kinds
- statistical graph line, directed line, normal line, antiparallel line, first bisector, intersecting line, Euclidean line, directrix, tangent, positionally oriented line, line through the origin, Ley line
What it is Filled
In geometry, a straight one-dimensional figure extending infinitely in both directions, determined by two points; related notions include segments, rays and lines in graphs.
Why it exists Filled
Let an agent handle lines by definition, representation, relations (parallel, perpendicular, intersecting) and uses in geometry and data.
Distinguishing features Filled
- Straight and infinite in both directions
- Determined by two points
- Relations: parallel, perpendicular, intersecting, skew
- Line in other senses (queue, telephone line) are different entries
What robots and AI may and may not do Filled
Must not
- Confuse lines with segments in calculations that others rely on.
- Present approximations as exact.
- Misstate geometric results.
Only with a human decision
- Using geometric results for survey or construction decisions.
May
- Construct and compute with lines in geometry, stating assumptions.
- Explain distinctions between lines, segments and rays.
Moral aspects Filled
- Geometry errors propagate into maps, designs and buildings.
- Learners rely on precise definitions.
Who is affected
- Learners
- Surveyors and engineers
Owners Filled
Steward
Nobody: a mathematical object held in common.
Links to other meta-models Filled
parent
- Q1541599 - registry parent class
- Q266237 - registry parent class
- Q36809769 - registry parent class
- Q5532410 - registry parent class
related
- curve - straight curve
- mathematics - geometry
- length - for segments
- line as queue or telephone line - homonyms
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.line
- Wikidata: Q37105 (https://www.wikidata.org/wiki/Q37105)
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Straight extent without curvature
- Equations such as y = mx + c or ax + by = c
- Segments and rays are bounded parts
- A straight mark on paper or screen; plotted lines on graphs.
Capabilities and actions required Filled
- define it, by two points or an equation
- compute intersections and angles
- draw and plot it
- fit it, to data by regression
Hazards and failure modes required Filled
- Confusing lines and segments
- Numerical errors for nearly parallel lines
- Extrapolating regression lines
Standards and interfaces required Filled
- ISO 80000-2 notation
- Technical drawing line conventions such as ISO 128
Context of use required Filled
- Describing straightness, direction and relations in geometry, drawing and data.
- lines, segments and rays
- directed lines
- normal and tangent lines
- lines in projective geometry
- regression lines in statistics
Sources Filled
- Wikidata item Q37105: line - identity and sense of the item
- Wikipedia: Line (geometry) - general description of the item
Open questions
- Should segments and rays be separate entries?
- How should regression lines be linked to statistics?
- How should drawing line types be recorded?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-q37105/spec.json