Matches in SemOpenAlex for { <https://semopenalex.org/work/W1972323853> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W1972323853 endingPage "400" @default.
- W1972323853 startingPage "393" @default.
- W1972323853 abstract "A famous chain of theorems, due originally to de Longchamps (l) and afterwards rediscovered by Pesci(2), Morley(3) and Grace(4), goes as follows: (1) Given four lines in a plane, the four circumcentres O 3 of the triangles formed by omitting each one of the lines in turn lie all on the same circle C 4 with centre O 4 say. (2)Given five lines in a plane, the centres O 4 of the five circles C 4 obtained by omitting each of the five lines in turn lie all on the same circle C 6 with centre O 5 say. And in general (3) Given ( n +1) lines in a plane, the ( n +1) centres O n of the circles C n +1 formed by omitting each of the lines in turn lie all on the same circle C n +1 with centre O n +1 ." @default.
- W1972323853 created "2016-06-24" @default.
- W1972323853 creator A5000352562 @default.
- W1972323853 date "1971-05-01" @default.
- W1972323853 modified "2023-10-17" @default.
- W1972323853 title "A synthetic proof of de Longchamps' chain" @default.
- W1972323853 cites W1977585432 @default.
- W1972323853 cites W2010091248 @default.
- W1972323853 cites W2133867416 @default.
- W1972323853 cites W2154156010 @default.
- W1972323853 cites W2163599023 @default.
- W1972323853 doi "https://doi.org/10.1017/s030500410004682x" @default.
- W1972323853 hasPublicationYear "1971" @default.
- W1972323853 type Work @default.
- W1972323853 sameAs 1972323853 @default.
- W1972323853 citedByCount "2" @default.
- W1972323853 crossrefType "journal-article" @default.
- W1972323853 hasAuthorship W1972323853A5000352562 @default.
- W1972323853 hasConcept C114614502 @default.
- W1972323853 hasConcept C121332964 @default.
- W1972323853 hasConcept C17825722 @default.
- W1972323853 hasConcept C198352243 @default.
- W1972323853 hasConcept C199185054 @default.
- W1972323853 hasConcept C2524010 @default.
- W1972323853 hasConcept C33923547 @default.
- W1972323853 hasConcept C46141821 @default.
- W1972323853 hasConcept C62520636 @default.
- W1972323853 hasConcept C85641259 @default.
- W1972323853 hasConceptScore W1972323853C114614502 @default.
- W1972323853 hasConceptScore W1972323853C121332964 @default.
- W1972323853 hasConceptScore W1972323853C17825722 @default.
- W1972323853 hasConceptScore W1972323853C198352243 @default.
- W1972323853 hasConceptScore W1972323853C199185054 @default.
- W1972323853 hasConceptScore W1972323853C2524010 @default.
- W1972323853 hasConceptScore W1972323853C33923547 @default.
- W1972323853 hasConceptScore W1972323853C46141821 @default.
- W1972323853 hasConceptScore W1972323853C62520636 @default.
- W1972323853 hasConceptScore W1972323853C85641259 @default.
- W1972323853 hasIssue "3" @default.
- W1972323853 hasLocation W19723238531 @default.
- W1972323853 hasOpenAccess W1972323853 @default.
- W1972323853 hasPrimaryLocation W19723238531 @default.
- W1972323853 hasRelatedWork W1572003102 @default.
- W1972323853 hasRelatedWork W1978042415 @default.
- W1972323853 hasRelatedWork W2017331178 @default.
- W1972323853 hasRelatedWork W2019452991 @default.
- W1972323853 hasRelatedWork W2022810467 @default.
- W1972323853 hasRelatedWork W2976797620 @default.
- W1972323853 hasRelatedWork W3086542228 @default.
- W1972323853 hasRelatedWork W3101698922 @default.
- W1972323853 hasRelatedWork W3105870797 @default.
- W1972323853 hasRelatedWork W35149352 @default.
- W1972323853 hasVolume "69" @default.
- W1972323853 isParatext "false" @default.
- W1972323853 isRetracted "false" @default.
- W1972323853 magId "1972323853" @default.
- W1972323853 workType "article" @default.