Matches in SemOpenAlex for { <https://semopenalex.org/work/W29802380> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W29802380 abstract "Let ABC be a triangle with side-lengths a, b, and c, and with angles A, B, and C. Let AA, BB, and CC be the cevians through a point V , let x, y, and z be the lengths of the segments BA, CB, and AC, and let ξ, η, and ζ be the measures of the angles ∠BAA, ∠CBB, and ∠ACC. The centers V for which x, y, and z are linear forms in a, b, and c are characterized. So are the centers for which ξ, η, and ζ are linear forms in A, B, and C. Let ABC be a non-degenerate triangle with side-lengths a, b, and c, and let V be a point in its plane. Let AA, BB, and CC be the cevians of ABC through V and let the intercepts x, y, and z be defined to be the directed lengths of the segments BA, CB, and AC, where x is positive or negative according as A and C lie on the same side or on opposite sides of B, and similarly for y and z; see Figure 1. To avoid infinite intercepts, we assume that V does not lie on any of the three exceptional lines passing through the vertices of ABC and parallel to the opposite sides." @default.
- W29802380 created "2016-06-24" @default.
- W29802380 creator A5036545813 @default.
- W29802380 creator A5060172147 @default.
- W29802380 date "2005-01-01" @default.
- W29802380 modified "2023-09-26" @default.
- W29802380 title "Triangle Centers with Linear Intercepts and Linear Subangles" @default.
- W29802380 cites W2021811196 @default.
- W29802380 cites W3175596436 @default.
- W29802380 cites W601913738 @default.
- W29802380 hasPublicationYear "2005" @default.
- W29802380 type Work @default.
- W29802380 sameAs 29802380 @default.
- W29802380 citedByCount "4" @default.
- W29802380 countsByYear W298023802012 @default.
- W29802380 crossrefType "journal-article" @default.
- W29802380 hasAuthorship W29802380A5036545813 @default.
- W29802380 hasAuthorship W29802380A5060172147 @default.
- W29802380 hasConcept C114614502 @default.
- W29802380 hasConcept C121332964 @default.
- W29802380 hasConcept C17825722 @default.
- W29802380 hasConcept C185592680 @default.
- W29802380 hasConcept C2524010 @default.
- W29802380 hasConcept C33923547 @default.
- W29802380 hasConcept C8010536 @default.
- W29802380 hasConceptScore W29802380C114614502 @default.
- W29802380 hasConceptScore W29802380C121332964 @default.
- W29802380 hasConceptScore W29802380C17825722 @default.
- W29802380 hasConceptScore W29802380C185592680 @default.
- W29802380 hasConceptScore W29802380C2524010 @default.
- W29802380 hasConceptScore W29802380C33923547 @default.
- W29802380 hasConceptScore W29802380C8010536 @default.
- W29802380 hasLocation W298023801 @default.
- W29802380 hasOpenAccess W29802380 @default.
- W29802380 hasPrimaryLocation W298023801 @default.
- W29802380 hasRelatedWork W1974555198 @default.
- W29802380 hasRelatedWork W2013077057 @default.
- W29802380 hasRelatedWork W2033256228 @default.
- W29802380 hasRelatedWork W2046717951 @default.
- W29802380 hasRelatedWork W2068442716 @default.
- W29802380 hasRelatedWork W2070584276 @default.
- W29802380 hasRelatedWork W2074223829 @default.
- W29802380 hasRelatedWork W208795119 @default.
- W29802380 hasRelatedWork W2100949640 @default.
- W29802380 hasRelatedWork W2159836419 @default.
- W29802380 hasRelatedWork W2183311366 @default.
- W29802380 hasRelatedWork W2187070952 @default.
- W29802380 hasRelatedWork W2187549520 @default.
- W29802380 hasRelatedWork W2325516224 @default.
- W29802380 hasRelatedWork W2335226121 @default.
- W29802380 hasRelatedWork W2349717065 @default.
- W29802380 hasRelatedWork W2968422778 @default.
- W29802380 hasRelatedWork W56711084 @default.
- W29802380 hasRelatedWork W2131253076 @default.
- W29802380 hasRelatedWork W2184270007 @default.
- W29802380 isParatext "false" @default.
- W29802380 isRetracted "false" @default.
- W29802380 magId "29802380" @default.
- W29802380 workType "article" @default.