Center of gravity: the intersection of three midlines of a triangle (must be in the shape)
Vertical center: the intersection of straight lines of three heights of a triangle (acute triangle inside the shape, right triangle at the right end point, obtuse triangle outside the shape)
Inner heart: The intersection of bisectors of three internal angles of a triangle is the center of the inscribed circle of the triangle (it must be in the shape).
Exterior center: the intersection of the perpendicular lines of the three sides of a triangle is the center of the circumscribed circle of the triangle (acute triangle is inside the shape, right triangle is at the midpoint of the hypotenuse, and obtuse triangle is outside the shape).
These four centers are very important, as long as any two coincide, it can be proved that the triangle is a regular triangle, and the four centers of the regular triangle are one, which is collectively called the center.
Triangle has three hearts, but it is not introduced in textbooks and is relatively seldom used.
Paracenter: The straight lines of the three bisectors of the triangle form the three endpoints of the triangle, which are the centers of the three circumscribed circles of the triangle, and the straight lines of the bisectors of the inner corners pass through a paracenter (which must be outside the shape).
The above seven hearts are collectively referred to as seven orifices and exquisite hearts.