Incircle of the Symmedial Triangle = Incircle of the Intangents Triangle of the Symmedial Triangle.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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