Examples of using Points in the plane in English and their translations into Tagalog
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Ecclesiastic
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Colloquial
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Computer
Let and be points in the plane.
Points in the plane such that its coordinates are integer numbers.
Let,, be given points in the plane.
Ten points in the plane are given, with no three collinear.
There are arbitrary 7 points in the plane.
Let and points in the plane and a point in the. .
Let and be two distinct points in the plane.
We have points in the plane, no three on a line.
Let be aninteger greater than 2, and distinct points in the plane.
Let be variable points in the plane such that, and.
Let and be positive integers andlet be a set of points in the plane such that.
Given any set of 9 points in the plane such that there is no 3 of.
If every two points are joined by a line segment with its midpoint coloured in red,show that there are at least red points in the plane.
Prove that all points in the plane are assigned the same number.
(a) 5 points in the plane so that among all the triangles with vertices among these points there are 8 right-angled ones;
Determine all integers for which there exist points in the plane, no three collinear, and real numbers such that for, the area of is.
(b) 64 points in the plane so that among all the triangles with vertices among these points there are at least 2005 right-angled ones.
It happened when he came across a theorem which stated that points in the plane could be specified with a single coordinate.
Find the maximal possible value of such that there exist points in the plane and real numbers such that the distance between any two different points and is.
Let,,, be four points in the plane, with and on the same side of the line, such that and. Find the ratio.
Prove that for every positive integer we can find a finite set of points in the plane, such that given any point of, there are exactly points in at unit distance from.
For three points in the plane, we define to be the smallest length of the three heights of the triangle, where in the case,, are collinear, we set.
For a set of points in the plane, no 3 collinear, let be a function such that.
Let a set of 2004 points in the plane be given, no three of which are collinear.
Let be a set of points in the plane such that no three are collinear and no four concyclic.
(b) Given distinct points in the plane, prove that at most of the segments have unit length.
Let be a set of five points in the plane such that the area of each triangle, is greater than 3.
Let be a set of points in the plane such that any two points of are at least unit apart.
Let be a set of 1980 points in the plane such that the distance between every pair of them is at least 1.