Incircle of the Incentral Triangle = Incircle of the Intangents Triangle of the Incentral Triangle.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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