Matches in SemOpenAlex for { <https://semopenalex.org/work/W2107069684> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W2107069684 abstract "Given ΔABC and angles α, β, γ ∈ (0 ,π ) with α + β + γ = π, we study the properties of the triangle DEF which satisfies: (i) D ∈ BC, E ∈ AC, F ∈ AB, (ii) ∠ )D = α, ∠ )E = β, ∠ )F = γ, (iii) ΔDEF has the minimal area in the class of triangles satisfying (i) and (ii). In particular, we show that minimizer ΔDEF, exists, is unique and is a pedal triangle, corresponding to a certain pedal point P . Permuting the roles played by the angles α, β, γ in (ii), yields a total of six such area-minimizing triangles, which are pedal relative to six pedal points, say, P1, ...., P6. The main result of the paper is the fact that there exists a circle which contains all six points." @default.
- W2107069684 created "2016-06-24" @default.
- W2107069684 creator A5086793397 @default.
- W2107069684 date "2012-01-01" @default.
- W2107069684 modified "2023-09-27" @default.
- W2107069684 title "The Six-Point Circle Theorem ∗" @default.
- W2107069684 cites W3157839405 @default.
- W2107069684 cites W3175596436 @default.
- W2107069684 hasPublicationYear "2012" @default.
- W2107069684 type Work @default.
- W2107069684 sameAs 2107069684 @default.
- W2107069684 citedByCount "0" @default.
- W2107069684 crossrefType "posted-content" @default.
- W2107069684 hasAuthorship W2107069684A5086793397 @default.
- W2107069684 hasConcept C114614502 @default.
- W2107069684 hasConcept C154945302 @default.
- W2107069684 hasConcept C2524010 @default.
- W2107069684 hasConcept C2777212361 @default.
- W2107069684 hasConcept C28719098 @default.
- W2107069684 hasConcept C33923547 @default.
- W2107069684 hasConcept C41008148 @default.
- W2107069684 hasConceptScore W2107069684C114614502 @default.
- W2107069684 hasConceptScore W2107069684C154945302 @default.
- W2107069684 hasConceptScore W2107069684C2524010 @default.
- W2107069684 hasConceptScore W2107069684C2777212361 @default.
- W2107069684 hasConceptScore W2107069684C28719098 @default.
- W2107069684 hasConceptScore W2107069684C33923547 @default.
- W2107069684 hasConceptScore W2107069684C41008148 @default.
- W2107069684 hasLocation W21070696841 @default.
- W2107069684 hasOpenAccess W2107069684 @default.
- W2107069684 hasPrimaryLocation W21070696841 @default.
- W2107069684 hasRelatedWork W1482530326 @default.
- W2107069684 hasRelatedWork W1601035668 @default.
- W2107069684 hasRelatedWork W1992491442 @default.
- W2107069684 hasRelatedWork W2044598755 @default.
- W2107069684 hasRelatedWork W2083041140 @default.
- W2107069684 hasRelatedWork W2092654192 @default.
- W2107069684 hasRelatedWork W2099507008 @default.
- W2107069684 hasRelatedWork W2102393471 @default.
- W2107069684 hasRelatedWork W2143565095 @default.
- W2107069684 hasRelatedWork W2152290369 @default.
- W2107069684 hasRelatedWork W2246359575 @default.
- W2107069684 hasRelatedWork W2321551291 @default.
- W2107069684 hasRelatedWork W2330814508 @default.
- W2107069684 hasRelatedWork W2392318637 @default.
- W2107069684 hasRelatedWork W2567775240 @default.
- W2107069684 hasRelatedWork W2947309163 @default.
- W2107069684 hasRelatedWork W2953296076 @default.
- W2107069684 hasRelatedWork W2980472980 @default.
- W2107069684 hasRelatedWork W54931845 @default.
- W2107069684 hasRelatedWork W96996701 @default.
- W2107069684 isParatext "false" @default.
- W2107069684 isRetracted "false" @default.
- W2107069684 magId "2107069684" @default.
- W2107069684 workType "article" @default.