Incircle of the Tangential Triangle = Incircle of the Intangents Triangle of the Tangential Triangle.

Incircle of the Tangential Triangle = Circumcircle of the Mid-Arc Triangle of the Tangential Triangle.

Circumcircle of the Tangential Triangle = Inverse of the Nine-Point Circle in the Circumcircle.

Nine-Point Circle of the Tangential Triangle = Circumcircle of the Euler Triangle of the Tangential Triangle.

Nine-Point Circle of the Tangential Triangle = Circumcircle of the Feuerbach Triangle of the Tangential Triangle.

Brocard Circle of the Tangential Triangle = Circumcircle of the First Brocard Triangle of the Tangential Triangle.

Brocard Circle of the Tangential Triangle = Circumcircle of the Second Brocard Triangle of the Tangential Triangle.

Orthocentroidal Circle of the Tangential Triangle = Circumcircle of the Fourth Brocard Triangle of the Tangential Triangle.

The Incircle of the Tangential Triangle is concentric to the Bevan Circle of the Yff Central Triangle of the Tangential Triangle.

The Nine-Point Circle of the Tangential Triangle is concentric to the Nine-Point Circle of the Fuhrmann Triangle of the Tangential Triangle.

The Spieker Circle of the Tangential Triangle is concentric to the Radical Circle of the Excircles of the Tangential Triangle.

The Spieker Circle of the Tangential Triangle is concentric to the Bevan Circle of the Euler Triangle of the Tangential Triangle.

The Bevan Circle of the Tangential Triangle is concentric to the Incircle of the Extangents Triangle of the Tangential Triangle.

The Radical Circle of the Excircles of the Tangential Triangle is concentric to the Spieker Circle of the Tangential Triangle.

The Radical Circle of the Excircles of the Tangential Triangle is concentric to the Bevan Circle of the Euler Triangle of the Tangential Triangle.

The Brocard Circle of the Tangential Triangle is concentric to the Lemoine Circle of the Tangential Triangle.

The Lemoine Circle of the Tangential Triangle is concentric to the Brocard Circle of the Tangential Triangle.

The Lemoine Circle of the Tangential Triangle is concentric to the Circumcircle of the First Brocard Triangle of the Tangential Triangle.

The Lemoine Circle of the Tangential Triangle is concentric to the Circumcircle of the Second Brocard Triangle of the Tangential Triangle.

The Circumcircle of the Tangential Triangle is congruent to the Bevan Circle of the Euler Triangle of the Tangential Triangle.

The Circumcircle of the Tangential Triangle is congruent to the Bevan Circle of the Feuerbach Triangle of the Tangential Triangle.

The Spieker Circle of the Tangential Triangle is congruent to the Incircle of the Euler Triangle of the Tangential Triangle.

The Spieker Circle of the Tangential Triangle is congruent to the Spieker Circle of the Intangents Triangle of the Tangential Triangle.

The Spieker Circle of the Tangential Triangle is congruent to the Nine-Point Circle of the Mid-Arc Triangle of the Tangential Triangle.