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In geometry, the **Parry point** is a special point associated with a plane triangle. It is a triangle center and it is called X(111) in Clark Kimberling's Encyclopedia of Triangle Centers. The Parry point is named in honor of the English geometer Cyril Parry, who studied them in the early 1990s.^{[1]}

Let *ABC* be a plane triangle. The circle through the centroid and the two isodynamic points of triangle *ABC* is called the **Parry circle** of triangle *ABC*. The equation of the Parry circle in barycentric coordinates is^{[2]}

The center of the Parry circle is also a triangle center. It is the center designated as X(351) in Encyclopedia of Triangle Centers. The trilinear coordinates of the center of the Parry circle are

*f*(*a*,*b*,*c*) :*f*(*b*,*c*,*a*) :*f*(*c*,*a*,*b*), where*f*(*a*,*b*,*c*) =*a*(*b*^{2}−*c*^{2}) (*b*^{2}+*c*^{2}− 2*a*^{2})

The Parry circle and the circumcircle of triangle *ABC* intersect in two points. One of them is a focus of the Kiepert parabola of triangle *ABC*.^{[3]} The other point of intersection is called the *Parry point* of triangle *ABC*.

The trilinear coordinates of the Parry point are

- (
*a*/ ( 2*a*^{2}−*b*^{2}−*c*^{2}) :*b*/ ( 2*b*^{2}−*c*^{2}−*a*^{2}) :*c*/ ( 2*c*^{2}−*a*^{2}−*b*^{2}) )

The point of intersection of the Parry circle and the circumcircle of triangle *ABC* which is a focus of the Kiepert hyperbola of triangle *ABC* is also a triangle center and it is designated as X(110) in Encyclopedia of Triangle Centers. The trilinear coordinates of this triangle center are

- (
*a*/ (*b*^{2}−*c*^{2}) :*b*/ (*b*^{2}−*a*^{2}) :*c*/ (*a*^{2}−*b*^{2}) )

**^**Kimberling, Clark. "Parry point". Retrieved 29 May 2012.**^**Yiu, Paul (2010). "The Circles of Lester, Evans, Parry, and Their Generalizations" (PDF).*Forum Geometricorum*.**10**: 175–209. Retrieved 29 May 2012.**^**Weisstein, Eric W. "Parry Point". MathWorld—A Wolfram Web Resource. Retrieved 29 May 2012.