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Circumcenter, Incenter and Centroid.
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Which three points of concurrency always lie on euler's line?
Circumcenter, Incenter and Centroid.
What are three or more points not all of which lie on the same line?
if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
One plane always passes through three noncollinear points?
If you're asking a question, then the answer is 'no'. If you're making a statement, then the statement is false. I can always lay a single plane down on any three points you choose. If your points are in the same straight line, then there an infinite number of other planes that your points all lie in. If they're not all in the same straight line, then there's only one plane.
Three points lying on the same straight line are called?
Points on the same line are called collinear points.
Which three points of concurrency always lie on euler's 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.
Are three points always contained in a line?
No.
If three points are coplanar are they also collinear?
Is false
Is three distinct points always determine a line?
No, because Of any three points on a line there exists no more than one that lies between the other two.
What are three or more points not all of which lie on the same line?
if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
Is it true that three points are always contained in exactly one plane?
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
What is the Euler line?
In any triangle that is not equilateral, the Euler line is the straight line passing through the orthocentre, circumcentre and centroid. In an equilateral triangle these three points are coincident and so do not define a line.Orthocentre = point of intersection of altitudes.Circumcentre = point of intersection of perpendicular bisector of the sides.Centroid = point of intersection of medians.Euler proved the collinearity of the above three. However, there are several other important points that also lie on these lines. Amongst them,Nine-point Centre = centre of the circle that passes through the bottoms of the altitudes, midpoints of the sides and the points half-way between the orthocentre and the vertices.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
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 :)
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 are collinear points?
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.
