One such version is stated as ‘Playfair’sAxiom’ which is given below: There are several equivalent versions of the fifth postulate of Euclid. (x) Opposite rays :Two rays AB and AC are said to be opposite rays if they are collinear and point A is the only common point of the two rays.ĮQUIVALENT VERSIONS OF EUCLID’S FIFTH POSTULATE (ix) Ray :Directed line segment is called a ray. (viii) Distance between two points :The distance between two points P and Q is the length of line segment PQ In other words we can say two lines are congruent if their lengths is same. (vii) Congruence of line segment :Two line segments AB and CD are congruent if trace copy of one can be superposed on the other so as to cover it completely and exactly in this case we write AB≅CD. (vi) Interior point of a line segment :A point R is called an interior point of a line segment PQ if R lies between P and Q but R is neither P nor Q. (v) Line Segment :Given two points A and B on a line I, the connected part (segment) of the line with end points at A and B, is called the line segment AB. (iv) Parallel lines : Two lines I and m in a plane are said to be parallel lines if they do not have a common point. ![]() The common point is called the “point of intersection”. (iii) Intersecting lines :Two lines are intersecting if they have a common point. (ii) Concurrent Lines : Three or more lines are said to be concurrent if there is a point which lies on all of them. (i) Collinear points :Three or more points are said to be collinear if there is a line which contains all of them.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |