Примери за използване на Angle bisector на Английски и техните преводи на Български
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On the angle bisector of the angle CAB.
We are now able to apply the angle bisector theorem.
Line which in which angle bisector of in included cut the circle in points and.
The altitude of the triangle is a median or angle bisector.
Then is the interior angle bisector if and only if(the bisector theorem).
Let H be the point of intersection of the angle bisector and.
This normal is thus the defined angle bisector and it meets the circumcircle at points.
Prove that the lines and are perpendicular if andonly if is the interior angle bisector of.
Prove that the line is the angle bisector of the angle. 3.
Thus, the angle bisector of the angle CAB is the center line of these two circles.
Let be a point on the(internal) angle bisector of such that.
Suppose that the angle bisector of its angle meets the side at a point and that.
Let the parallel through to the interior angle bisector of intersect in.
The center of this circle is simply the intersection of a normal to the line at the tangency point with the angle bisector.
Hence, the point M lies on the angle bisector of the angle BAC.
Hence, the common tangent of these two circles at the point V is perpendicular to this angle bisector.
We know that the point M lies on the angle bisector of the angle BAC.
Let the angle bisector of the angle OIH meet the Euler line e at a point W. Then,; since, we have.
Conducted by unpaired side height,median and angle bisector coincide.
But, of course, the angle bisector of the angle BAD is the exterior angle bisector of the angle BAC;
Similarly, the point N lies on the angle bisector of the angle BAD.
Let be the intersection point of the perpendicular bisector of and the internal angle bisector of.
Similarly, the point N' lies on the angle bisector of the angle B'AD'.
Since our inversion has the center A, the images B', C' and M' of the points B, C and M under this inversion must lie on the rays AB, AC and AM, respectively, andthus we can state that the point M' lies on the angle bisector of the angle B'AC'.
Since the point I lies on the external angle bisector of the angle AUV, we have.
Hence, since the interior and the exterior angle bisector of an angle are always perpendicular to each other,the angle bisector of the angle BAC and the angle bisector of the angle BAD are perpendicular to each other.
Hence, its center I lies on the external angle bisector of the angle AUV.
In other words,the point R is the point of intersection of the perpendicular bisector of the segment MN with the angle bisector of the angle MAN.
In a triangle with the incenter the angle bisector meets the circumcircle of triangle at point.