QA-Tr4QL-P12-Triple Triangle


The QL-Centroids (QL-P12) of the 3 Quadrigons of the Reference Quadrangle form a triangle, which is the QL-P12-Triple Triangle.
For definition QL-Px-Triple Triangle see QA-1.
 QA-Tr4-QL-P12-TripleTriangle-01

Areas: 
Area QL-P12-Triple Triangle in CT-notation:
2 p q r Δ / (18 (p + q) (p + r) (q + r))
Area QL-P12-Triple Triangle in DT-notation:
               S / 18

Properties:
 

QA-P1.QA-P11 ^ QA-P13.QA-P37 ^ the line // QA-P1.QA-P13 through QA-P10.
  • The QL-Px-Triple Triangles of QL-P7, QL-P20, QL-P22, QL-P23 are all perspective with QA-Tr4. Their perspector is QA-P1 (QA-Centroid).
  • The areas of these QL-Px-Triangles have ratios:
QG-P1 : QL-P8 : QL-P12 : QL-P14 = 9 : 1 : 1/4 : 1/3.
 

 

Plaats reactie