 # Distance between Two Vecten Points

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Let and be the inner and outer Vecten points  of the triangle . The Vecten points are based on squares constructed on each side of a triangle. Here, 45° isosceles right triangles on each side are shown. Let be the circumradius of and be the Brocard angle  of .

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Define: , , .

Then .

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Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA

## Snapshots   ## Details

From the above formula we have: .

References

 C. Kimberling. "X(485) = Vecten Point," Encyclopedia of Triangle Centers - ETC. (Jun 6, 2022) faculty.evansville.edu/ck6/encyclopedia/ETC.html#X485.

 C. Kimberling. "X(486) = Inner Vecten Point," Encyclopedia of Triangle Centers - ETC. (Jun 6, 2022) faculty.evansville.edu/ck6/encyclopedia/ETC.html#X486.

 E. W. Weisstein. "Vecten Points" from Wolfram MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/VectenPoints.html (Wolfram MathWorld).

 E. W. Weisstein. "Brocard Angle" from Wolfram MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/BrocardAngle.html (Wolfram MathWorld).

 M. T. Xuan. "Conway Triangle Notation" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/ConwayTriangleNotation.

## Permanent Citation

Minh Trinh Xuan

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