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Heron's formula

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

Relationships of Heron's formula

Show relationship types (drawing only; the text lists are unaffected)
Relationship label not yet available (Observed provider relationships)Commons category (Observed provider relationships)described at URL (Observed provider relationships)image (Observed provider relationships)named after (Observed provider relationships)Relationship label not yet available (Observed provider relationships)studied by (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)notable work (Observed provider relationships)Heron's formula — Wikidata entity (Q182714)Heron's formulaWIKIDATA ENTITYa — Literal value (wikidata:literal:0:a)aLITERAL VALUEHeron's formula — Literal value (wikidata:literal:1:Heron's formula)Heron's formulaLITERAL VALUEhttps://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html — Literal value (wikidata:literal:2:https://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html)https://personal.math.ubc.ca/~c…LITERAL VALUETriangle with notations 2.svg — Literal value (wikidata:literal:3:Triangle with notations 2.svg)Triangle withnotations 2.svgLITERAL VALUEHero of Alexandria — Wikidata entity (Q161853)Hero ofAlexandriaWIKIDATA ENTITYb — Literal value (wikidata:literal:5:b)bLITERAL VALUEEuclidean geometry — Wikidata entity (Q162886)EuclideangeometryWIKIDATA ENTITYA=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2} — Literal value (wikidata:literal:7:A=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2})A=\sqrt{s(s-a)(s-b)(s-c)};…LITERAL VALUEc — Literal value (wikidata:literal:8:c)cLITERAL VALUEformula — Wikidata entity (Q976981)formulaWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYA — Literal value (wikidata:literal:11:A)ALITERAL VALUEA=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)} — Literal value (wikidata:literal:12:A=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)})A=\frac{1}{4}\sqrt{(a+b+c)(-a+b…LITERAL VALUEtriangle — Wikidata entity (Q19821)triangleWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA ENTITY

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (16)

  • Heron's formula — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q182714
    stable_ref
    Q182714
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q182714
    provider
    wikidata
    entity_href
    /entries/wikidata/Q182714
  • a — Literal value
    Technical details
    node_id
    wikidata:literal:0:a
    stable_ref
    wikidata:literal:0:a
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Heron's formula — Literal value
    Technical details
    node_id
    wikidata:literal:1:Heron's formula
    stable_ref
    wikidata:literal:1:Heron's formula
    node_kind
    wikidata_literal
    plane
    provider_observed
  • https://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html — Literal value
    Technical details
    node_id
    wikidata:literal:2:https://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html
    stable_ref
    wikidata:literal:2:https://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Triangle with notations 2.svg — Literal value
    Technical details
    node_id
    wikidata:literal:3:Triangle with notations 2.svg
    stable_ref
    wikidata:literal:3:Triangle with notations 2.svg
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Hero of Alexandria — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q161853
    stable_ref
    Q161853
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q161853
    provider
    wikidata
    entity_href
    /entries/wikidata/Q161853
  • b — Literal value
    Technical details
    node_id
    wikidata:literal:5:b
    stable_ref
    wikidata:literal:5:b
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Euclidean geometry — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q162886
    stable_ref
    Q162886
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q162886
    provider
    wikidata
    entity_href
    /entries/wikidata/Q162886
  • A=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2} — Literal value
    Technical details
    node_id
    wikidata:literal:7:A=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2}
    stable_ref
    wikidata:literal:7:A=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2}
    node_kind
    wikidata_literal
    plane
    provider_observed
  • c — Literal value
    Technical details
    node_id
    wikidata:literal:8:c
    stable_ref
    wikidata:literal:8:c
    node_kind
    wikidata_literal
    plane
    provider_observed
  • formula — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q976981
    stable_ref
    Q976981
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q976981
    provider
    wikidata
    entity_href
    /entries/wikidata/Q976981
  • WikiProject Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q8487137
    stable_ref
    Q8487137
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q8487137
    provider
    wikidata
    entity_href
    /entries/wikidata/Q8487137
  • A — Literal value
    Technical details
    node_id
    wikidata:literal:11:A
    stable_ref
    wikidata:literal:11:A
    node_kind
    wikidata_literal
    plane
    provider_observed
  • A=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)} — Literal value
    Technical details
    node_id
    wikidata:literal:12:A=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)}
    stable_ref
    wikidata:literal:12:A=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)}
    node_kind
    wikidata_literal
    plane
    provider_observed
  • triangle — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q19821
    stable_ref
    Q19821
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q19821
    provider
    wikidata
    entity_href
    /entries/wikidata/Q19821
  • theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65943
    stable_ref
    Q65943
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65943
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65943

Edges (16)

  • Heron's formula — Relationship label not yet available → a — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Commons category → Heron's formula — Observed provider relationships
    Technical details
    machine_predicate
    P373
    predicate_ref
    wikidata:property:P373
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P373
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — described at URL → https://personal.math.ubc.ca/~cass/courses/m309-01a/goon/proof.html — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — image → Triangle with notations 2.svg — Observed provider relationships
    Technical details
    machine_predicate
    P18
    predicate_ref
    wikidata:property:P18
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P18
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — named after → Hero of Alexandria — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → b — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — studied by → Euclidean geometry — Observed provider relationships
    Technical details
    machine_predicate
    P2579
    predicate_ref
    wikidata:property:P2579
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → A=\sqrt{s(s-a)(s-b)(s-c)}; s=\frac{a+b+c}{2} — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → c — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — instance of → formula — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → WikiProject Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P6104
    predicate_ref
    wikidata:property:P6104
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → A — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:11:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → A=\frac{1}{4}\sqrt{(a+b+c)(-a+b+c)(a-b+c)(a+b-c)} — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:12:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — Relationship label not yet available → triangle — Observed provider relationships
    Technical details
    machine_predicate
    P2384
    predicate_ref
    wikidata:property:P2384
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:13:P2384
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Heron's formula — instance of → theorem — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:14:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Hero of Alexandria — notable work → Heron's formula — Observed provider relationships
    Technical details
    machine_predicate
    P800
    predicate_ref
    wikidata:property:P800
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:15:P800
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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    Unresolved references (0)

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