What are the five centers of a triangle?

The triangle "Song of Five Hearts" has five hearts; Weight, vertical, inner, outer and lateral centers are naturally very important, so it is very important to master the confusion carefully. The three center lines of the center of gravity must intersect, and the intersection position is really strange. The intersection is named "center of gravity", and the nature of the center of gravity should be clear. The proportion of each paragraph in the division of the center of gravity can be heard. The ratio of length to length is 2: 1, which can be used flexibly. The three high points on the vertical triangle must intersect with the vertical center. The high line is divided into triangles with three pairs of right angles. There are twelve right triangles, forming six pairs of similar shapes. There are four points in the picture, which can be found by careful analysis. The inner triangle corresponds to three vertices, all corners have bisectors, and the three lines intersect at the * * * point, which is called ". The points to the three sides are equidistant and can be regarded as the inscribed circle of a triangle. The center of this circle is called "inner heart", so it is natural to define it. An outer triangle has six elements, and three inner corners have three sides. As the middle perpendicular of three sides, these three lines intersect at one point. This point is defined as the "outer center" and can be used as an circumscribed circle. Don't confuse "inner heart" with "outer heart", "inner engraving" and "inner engraving". Compare the explanations given by others above. The center of gravity is the intersection of the center lines, the inner part is the intersection of the bisector of the angle (or the center of the inscribed circle), the outer center is the intersection of the middle vertical line (or the center of the circumscribed circle), and the vertical center is the intersection of the high lines, which are called the four centers of the triangle. There is also a center called near center: the intersection of bisectors of outer angles (there are three), or the center of circumscribed circle) has only one center, and then the center of gravity.