Примери за използване на Circumcircle of triangle на Английски и техните преводи на Български
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Let meet the circumcircle of triangle at point.
Prove that if andonly if lies on the circumcircle of triangle. 2.
The circumcircle of triangle meets at(apart from).
In a triangle with the incenter the angle bisector meets the circumcircle of triangle at point.
The circumcircle of triangle is tangent to segment at.
S 18 A ray emanating from the vertex of the triangle intersects the side at and the circumcircle of triangle at.
In other words, the circumcircle of triangle has the segment AP as diameter.
Let be a triangle with orthocenter, incenter and centroid, andlet be the diameter of the circumcircle of triangle.
The line meets the circumcircle of triangle at a point(apart from).
The incircle of triangle touches its sides and at points andThe line meets the circumcircle of triangle at points and Find if 3.
Point lies on the circumcircle of triangle and is the midpoint of the arc not containing.
Prove that if is the point of intersection of the lines and,then the circumcenter of triangle lies on the circumcircle of triangle.
The lines and intersect the circumcircle of triangle again in the points and.
Show that the centre of the incircle of triangle lies on the segment if andonly if the centre of the circumcircle of triangle lies on the segment.
Tangents at and of the circumcircle of triangle meet each other at.
Prove that the excircle of triangle at the side is identical with the excircle of triangle at the side if andonly if the point is the midpoint of the arc on the circumcircle of triangle.
Hence, the point R lies on the circumcircle of triangle MAN, and therefore, the quadrilateral AMRN is cyclic.
Let be an arbitrary point on the side(different from and), andlet the line meet the circumcircle of triangle at a point(apart from the point).
Let the circumcircle of triangle meet the line at a point(apart from), and let the circumcircle of triangle meet the line at a point(apart from).
Is a triangle, the bisector of angle meets the circumcircle of triangle in, points and are defined similarly.
The parallel lines from the points,,to the line intersect the circumcircle of triangle at the points, and, respectively(apart from,,).
When varies(does not coincide with), prove that the circumcircle of triangle(is the intersection of the line and) pass through a fixed point.
Prove that the circumcircle of the triangle is tangent to the circumcircle of. 8.
Let be the circumcircle of the triangle.
With center, the circumcircle of the triangle and.
Furthermore let a point on the circumcircle of the triangle.
Prove that the lines and intersect on the circumcircle of the triangle.
The points and divide the circumcircle of the triangle into two arcs.
Prove that the lines and intersect on the circumcircle of the triangle.
Find the radius of the circumcircle of the triangle in terms of. S 3.