QA-Tr-3: (Quadri-)Orthologic QA-Triple Triangles
Two triangles A1B1C1 and A2B2C2 are Orthologic if the perpendiculars from the vertices A1, B1, C1 on the sides B2C2, A2C2, and A2B2 are concurrent.
The point of concurrence is known as the Orthology Center of A1B1C1 with respect to A2B2C2.
If this is the case, then the perpendiculars from the vertices A2, B2, C2 on the sides B1C1, A1C1, and A1B1 are also concurrent, as shown by Steiner in 1827. See Ref-13, Orthologic Triangles. The point of concurrence is known as the Orthology Center of A2B2C2 with respect to A1B1C1.
Here is a list of Orthologic pairs of Triple Triangles in a Quadrangle.
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Triple Triangle-1
formed by 3
QA-versions of:
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Triple Triangle-2
formed by 3
QA-versions of:
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Orthology Center-1
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Orthology Center-2
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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All Component Triangles (QA-4Tr1)
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Quadri-
Orthologic
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Quadri-
Orthologic
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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All Component Triangles (QA-4Tr1)
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Quadri-
Orthologic
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Quadri-
Orthologic
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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All Component Triangles (QA-4Tr1)
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Quadri-
Orthologic
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Quadri-
Orthologic
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px
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QA-Px is a QA-point not registered in EQF.