{ "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-11T05:41:46Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 1, "engine": "claude", "enrichment": { "pass": 3, "engine": "claude", "producedAt": "2026-10-05T16:30:00Z", "ingestedAt": "2026-10-05T13:22:32+00:00", "fields": [ "agent_conduct", "ethics", "owners" ] }, "gate": { "passed": true, "version": "1.0", "at": "2026-10-06T19:51:59+00:00", "evidence": [ "completeness 1.00", "sense: Wikidata description", "2 live sources", "review by codex: pass" ] } }, "metaModel": { "id": "THING-Q37105", "registryId": "vr.tr.line", "name": "line", "version": "0.2.0-wave.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QTY" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q37105/", "model": { "registry_id": "vr.tr.line", "name": "line", "purpose": "Let an agent handle lines by definition, representation, relations (parallel, perpendicular, intersecting) and uses in geometry and data.", "definition": "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.", "what_it_is_for": "Describing straightness, direction and relations in geometry, drawing and data.", "affordances": [ "define it, by two points or an equation", "compute intersections and angles", "draw and plot it", "fit it, to data by regression" ], "distinguishing_features": [ "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" ], "appearance": "A straight mark on paper or screen; plotted lines on graphs.", "visual_identification": [ "Straight extent without curvature", "Equations such as y = mx + c or ax + by = c", "Segments and rays are bounded parts" ], "physical_properties": [], "families_and_kinds": [ "lines, segments and rays", "directed lines", "normal and tangent lines", "lines in projective geometry", "regression lines in statistics" ], "related_models": [ { "relation": "is a kind of", "target": "curve", "why": "straight curve" }, { "relation": "is studied by", "target": "mathematics", "why": "geometry" }, { "relation": "has property", "target": "length", "why": "for segments" }, { "relation": "is confused with", "target": "line as queue or telephone line", "why": "homonyms" } ], "identifiers": [], "standards_and_regulation": [ "ISO 80000-2 notation", "Technical drawing line conventions such as ISO 128" ], "failure_modes_and_hazards": [ "Confusing lines and segments", "Numerical errors for nearly parallel lines", "Extrapolating regression lines" ], "in_scope": [], "out_of_scope": [], "characteristics": [], "agent_conduct": { "may": [ "Construct and compute with lines in geometry, stating assumptions.", "Explain distinctions between lines, segments and rays." ], "must_not": [ "Confuse lines with segments in calculations that others rely on.", "Present approximations as exact.", "Misstate geometric results." ], "requires_human": [ "Using geometric results for survey or construction decisions." ] }, "ethics": { "considerations": [ "Geometry errors propagate into maps, designs and buildings.", "Learners rely on precise definitions." ], "affected_parties": [ "Learners", "Surveyors and engineers" ] }, "owners": { "steward": "Nobody: a mathematical object held in common.", "master_systems": [] } }, "sources": [ { "id": "wikidata", "title": "Wikidata item Q37105: line", "url": "https://www.wikidata.org/wiki/Q37105", "url_status": "live", "what_it_supports": "identity and sense of the item", "checked_by": "wikidata-api" }, { "id": "wikipedia-en", "title": "Wikipedia: Line (geometry)", "url": "https://en.wikipedia.org/wiki/Line_%28geometry%29", "url_status": "live", "what_it_supports": "general description of the item", "checked_by": "wikidata-api sitelink" } ], "structure": { "bundles": [ { "id": "definition", "name": "Definition", "description": "Which line.", "rationale": "Definitions differ by context.", "layers": [ { "id": "form", "name": "Form", "description": "Points or equation.", "findings": [ { "id": "form-finding", "name": "Form", "description": "How the line is defined.", "questions": [ { "text": "How is the line defined?", "kind": "definition" }, { "text": "Is it a line, segment or ray?", "kind": "boundary" } ] } ] }, { "id": "space", "name": "Space", "description": "Plane or space.", "findings": [ { "id": "space-finding", "name": "Space", "description": "The space.", "questions": [ { "text": "In which space does the line lie?", "kind": "definition" }, { "text": "Which coordinate system?", "kind": "definition" } ] } ] } ] }, { "id": "relations", "name": "Relations", "description": "With other lines.", "rationale": "Relations drive geometry problems.", "layers": [ { "id": "position", "name": "Relative position", "description": "Parallel, intersecting.", "findings": [ { "id": "position-finding", "name": "Position", "description": "Relative position.", "questions": [ { "text": "Is it parallel, perpendicular or intersecting with another line?", "kind": "measurement" }, { "text": "Where do they intersect?", "kind": "measurement" } ] } ] }, { "id": "angle", "name": "Angle", "description": "Between lines.", "findings": [ { "id": "angle-finding", "name": "Angle", "description": "Angle between lines.", "questions": [ { "text": "What angle does it make with another line?", "kind": "measurement" }, { "text": "How precise is it?", "kind": "measurement" } ] } ] } ] }, { "id": "data", "name": "Data", "description": "Lines in statistics.", "rationale": "Fitted lines summarise data.", "layers": [ { "id": "fit", "name": "Fit", "description": "Regression.", "findings": [ { "id": "fit-finding", "name": "Fit", "description": "Fitted line.", "questions": [ { "text": "What are the slope and intercept, and how well does it fit?", "kind": "measurement" }, { "text": "Is a line appropriate for the data?", "kind": "boundary" } ] } ] }, { "id": "extrapolation", "name": "Extrapolation", "description": "Beyond data.", "findings": [ { "id": "extrapolation-finding", "name": "Extrapolation", "description": "Extrapolation risk.", "questions": [ { "text": "Is the line used beyond the data range?", "kind": "boundary" }, { "text": "What justifies it?", "kind": "provenance" } ] } ] } ] }, { "id": "drawing", "name": "Drawing", "description": "Lines in drawings.", "rationale": "Drawings use line conventions.", "layers": [ { "id": "types", "name": "Line types", "description": "Continuous, dashed.", "findings": [ { "id": "types-finding", "name": "Line types", "description": "Line conventions.", "questions": [ { "text": "What does this line type mean in the drawing?", "kind": "definition" }, { "text": "Which standard applies?", "kind": "provenance" } ] } ] }, { "id": "rendering", "name": "Rendering", "description": "On screen.", "findings": [ { "id": "rendering-finding", "name": "Rendering", "description": "Rendering issues.", "questions": [ { "text": "Is the line rendered accurately at this scale?", "kind": "boundary" }, { "text": "Is it accessible to colour-blind users?", "kind": "boundary" } ] } ] } ] } ] }, "openQuestions": [ "Should segments and rays be separate entries?", "How should regression lines be linked to statistics?", "How should drawing line types be recorded?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }