The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

The Six-Fold Systems of Similar Circumscribed and Inscribed Triangles of a Given Triangle


     

   Subscribe/Renew Journal


Let P be a point whose angle coordinates referred to a given triangle ABC are (λ,μ,γ) ; and let D, B, F be the centres of the circles BPC, CPA, APB. Then, if A'B'C' be any circumscribed triangle whose sides make© with those of DEF, the triangles A'B'C, DEF are similar, P being the centre of similinde and 2cosθ the ratio of similitude.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 163

PDF Views: 0




  • The Six-Fold Systems of Similar Circumscribed and Inscribed Triangles of a Given Triangle

Abstract Views: 163  |  PDF Views: 0

Authors

Abstract


Let P be a point whose angle coordinates referred to a given triangle ABC are (λ,μ,γ) ; and let D, B, F be the centres of the circles BPC, CPA, APB. Then, if A'B'C' be any circumscribed triangle whose sides make© with those of DEF, the triangles A'B'C, DEF are similar, P being the centre of similinde and 2cosθ the ratio of similitude.