In geometry, a cleaver of a triangle is a line segment that bisects the perimeter of the triangle and has one endpoint at the midpoint of one of the three sides. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position A triangle is one of the basic Shapes of Geometry: a Polygon with three corners or vertices and three sides or edges which are Line In Geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its end points The perimeter is the distance around a given two-dimensional object
- Each cleaver is parallel to one of the angle bisectors of the triangle. In Geometry, bisection is the division of something into two equal or Congruent parts usually by a line, which is then called a bisector [1]
- The three cleavers concur at that center of the Spieker circle. In Geometry, three or more lines are said to be concurrent if they Intersect at a single point. In Geometry, the Incircle of the Medial triangle of a triangle ABC is the Spieker circle.
See also
Notes
- ^ Eric W. Weisstein, Cleaver at MathWorld. In plane Geometry, a splitter of a Triangle is a line segment having one endpoint at one of the three vertices of the triangle and the other so located on the perimeter Eric W Weisstein (born March 18, 1969, in Bloomington Indiana) is an Encyclopedist who created and maintains MathWorld MathWorld is an online Mathematics reference work created and largely written by Eric W
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