{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.line","code":"thing-q37105","url":"https://ver.cy/models/thing/q37105/","name":"line","alternateNames":["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"],"kind":"thing","status":"published","version":"0.2.0-wave.1","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"thing","plane":"XCT","domain":["XCT.QTY"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"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.","purpose":"Let an agent handle lines by definition, representation, relations (parallel, perpendicular, intersecting) and uses in geometry and data.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["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"],"structure":{"bundles":[{"id":"definition","name":"Definition","description":"Which line.","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.","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.","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.","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"}]}]}]}]},"agentConduct":{"may":["Construct and compute with lines in geometry, stating assumptions.","Explain distinctions between lines, segments and rays."],"mustNot":["Confuse lines with segments in calculations that others rely on.","Present approximations as exact.","Misstate geometric results."],"requiresHuman":["Using geometric results for survey or construction decisions."]},"ethics":{"considerations":["Geometry errors propagate into maps, designs and buildings.","Learners rely on precise definitions."],"affectedParties":["Learners","Surveyors and engineers"]},"owners":{"steward":"Nobody: a mathematical object held in common.","roles":[],"masterSystems":[]},"relations":[{"target":"Q1541599","type":"parent","note":"registry parent class"},{"target":"Q266237","type":"parent","note":"registry parent class"},{"target":"Q36809769","type":"parent","note":"registry parent class"},{"target":"Q5532410","type":"parent","note":"registry parent class"},{"target":"curve","type":"related","note":"straight curve"},{"target":"mathematics","type":"related","note":"geometry"},{"target":"length","type":"related","note":"for segments"},{"target":"line as queue or telephone line","type":"related","note":"homonyms"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.line","Wikidata: Q37105 (https://www.wikidata.org/wiki/Q37105)"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["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":{"applicability":"required","items":["define it, by two points or an equation","compute intersections and angles","draw and plot it","fit it, to data by regression"]},"hazards":{"applicability":"required","items":["Confusing lines and segments","Numerical errors for nearly parallel lines","Extrapolating regression lines"]},"interfaces":{"applicability":"required","items":["ISO 80000-2 notation","Technical drawing line conventions such as ISO 128"]},"context":{"applicability":"required","items":["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":[{"title":"Wikidata item Q37105: line","url":"https://www.wikidata.org/wiki/Q37105","note":"identity and sense of the item"},{"title":"Wikipedia: Line (geometry)","url":"https://en.wikipedia.org/wiki/Line_%28geometry%29","note":"general description of the item"}],"openQuestions":["Should segments and rays be separate entries?","How should regression lines be linked to statistics?","How should drawing line types be recorded?"],"resources":{"spec":"/models/things/publications/thing-q37105/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q37105/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-11T05:41:46Z","builder":"tools/build_cards.py@1.0.0"},"completeness":{"sections":{"classifiers":"filled","whatItIs":"filled","purpose":"filled","distinguishingFeatures":"filled","structure":"filled","agentConduct":"filled","ethics":"filled","owners":"filled","relations":"filled","interaction.identity":"filled","interaction.properties":"not-applicable","interaction.recognition":"filled","interaction.capabilities":"filled","interaction.hazards":"filled","interaction.interfaces":"filled","interaction.context":"filled","sources":"filled"},"notes":{"_gate":"Published through the thing publication gate 1.0 on 2026-10-06T19:51:59+00:00: completeness 1.00; sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane XCT: no invented physical properties."},"score":1.0}}