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一些几何定理(Some geometric theorems)
一些几何定理(Some geometric theorems)
The famous theorem 1, 1, in the geometry of the Pythagorean theorem (Pythagorean theorem)
2. Projective theorem (Euclid theorem)
3. The three middle lines of the triangle are placed at one point, and each center line is divided into two parts of the 2:1 by this point
4. The connection of the two diagonal centers of the center line of the quadrilateral at one point
5, the center of the two triangles at the center of the hexagon edge of the connection is coincident.
6. The vertical bisector of the sides of a triangle is handed over to one point.
7. The three perpendicular lines from the vertices of the triangle to their sides are handed over to one point
8, a Circumcenter of triangle ABC O, from O to H for the orthocenter, BC boundary line, not a pedal L, AH=2OL
9, triangular Circumcenter, orthocenter, center of gravity in the same line.
10, (nine point circle or circle or Euler Feuerbach circle) triangle, three edge from each vertex to the center, on the edge of the pedal line, and the midpoint of each vertex and orthocenter line, the nine point in the same circle,
11, Ola theorem: Circumcentre of a triangle, center of gravity, nine point circle, Orthocentre are located in the same line (Euler line).
12, Coolidge * big theorem: (nine point circle inscribed quadrangle)
There are four points on the circumference, and three of them are used as triangles. The nine points of the four triangles are on the same circle. We take the circle of the four nine point circle centers as the nine circle of the inscribed quadrilateral.
13, (inner) three interior angle bisectors of triangle intersect at one point, formula of the radius of inscribed circle: r= (S-A) (S-B) (S-C) ss is half the perimeter of the triangle
14, (Pang Xin) an angle bisector of the triangle and the other two at the vertices of the exterior angle bisector at a point
15, the central line theorem: (Babss theorem) set the edge of the triangle ABC, the midpoint of BC is P, and then th
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