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Why is the angle bisector of an isosceles triangle also Euler's line?
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
Is Euler's theorem is a property of homogeneous function?
Yes, it is a property of homogeneous function.
Euler's rule for a polyhedron?
For a simply connected polyhedron,Faces + Vertices = Edges + 2
What Swiss mathematician responsible for the use of the symbol for pi in mathematical notation?
Mr. Euler
Can a polyhedron have 20 faces 30 edges and 13 vertices?
No. The numbers do not satisfy the Euler characteristic.
Why is the angle bisector of an isosceles triangle also Euler's line?
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
What point is not on the Euler line?
The centroid, orthocenter, and circumcenter of a triangle all lie on the Euler line; however, the incenter does not. The incenter, which is the intersection of the angle bisectors, represents the center of the triangle's incircle. Unlike the other three points, the incenter's position is influenced by the triangle's angles and side lengths, leading it to be generally located off the Euler line.
How do you draw Euler's Line?
to draw a euler line, you must know how to draw the following terms... orthocenter, circumcenter, and centriod of a triangle, once you have drawn the following points, connect them to make a straight line, if they don't form a straight line, try again, and be as accurate as possible :)
What are three points that always lie on the Euler line?
Circumcenter, Incenter and Centroid.
What is the answer to the euler line segment conjecture?
The centroid, circumcenter and orthocenter are the 3 points of concurrency that always lie on a line.
Which three points of concurrency always lie on euler's line?
Circumcenter, Incenter and Centroid.
What was euler the mathematicians full name?
Leonhard Euler
When did Leonhard Euler discover the Euler line?
Euler first noticed that special lines, already well known, that cross at special points within the triangle, like the midian and angle bisector lines, that a new line can be drawn through all those special points. Im not sure when he discoverd it but this video about his life is where I seen this: http://www.youtube.com/watch?v=h-DV26x6n_Q
What is the difference between an Euler circuit and an Euler path?
The difference between an Euler circuit and an Euler path is in the execution of the process. The Euler path will begin and end at varied vertices while the Euler circuit uses all the edges of the graph at once.
What is the birth name of Lucie Euler?
Lucie Euler's birth name is Lucie Luise Euler.
Who calculated the value of e?
Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).
What concurrent point in a triangle does not exist on Euler's line?
The incentre - except in an equilateral triangle where it coincides with the centroid (for example).
