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$basic geometry formulas$

II A line Segment: A part (or portion) of a line with two end points is called a line segment e.g. I A line: When two or more than two points are joined end point, it is called aline. LINES AND ANGLES BASIC TERMS AND DEFINITIONS: Read More : MBA Preparation - 100 Mock Questions on QAĢ. One of them is “Play fair’s Axom” which was given by a scottish Mathematician John play fair in 2729, as stated below:įor every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l. There are several equivalent versions of this postulate. By implication, we can see that no intersection of lines will take place when the sum of the measures of the interior angles on the same side of the falling line is exactly 180 o. Two distinct intersecting lines cannot be parallel to the same line.Įuclid’s fifth postulate is very significant in the history of Mathematics. EQUIVALENT VERSIONS OF EUCLID’S FIFTH POSTULATE : Theorem: Two distinct lines cannot have more than one point in common given.

So, the lines AB and CD will eventually intersect on the left side of PQ. Line PQ falls on lines AB and CD such that the sum of interior angles ∠1 + ∠2 < 180 o is on the left side of PQ. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.Į.g. The measurement of Because each and every right angle is always 90 o. Where O is the centre of the circle and OA = (r) radius of the circle.Īll right angles are equal to one another Read More : 5 tips to improve Quant POSTULATES :Ī straight line may be drawn from any one point to any another point.Ī terminated line can be produced indefinitelyĪ circle can be drawn with any centre and any radius. (viii) The whole is greater than the part. (vii) Things which coincide with one another are equal to one another. (vi) Things which are greater than the same thing are greater than one another. (v) Things which are halves of the same things are equal to one another. (iv) Things which are double of the same things are equal to one another. (iii) If equals are subtracted from equals, the remainders are equal

(ii) The equals are added to equals, the whole are equal (i) Things which are equal to the same thing are equal to one another.

1 Mock Questions on Data Interpretation and Logical ReasoningĪxioms: The basic facts which are taken for granted, without proof, are called axioms.

Common notions called axioms, were assumptions used throughout Mathematics and not specifically linked to geometry. Postulates, were the assumption specific to geometry. (vi) A plane surface is a surface which lies evenly with straight lines on itself.Įuclid assumed certain property which were not proved. (v) A surface is that which has length and breadth only. (iv) A straight line is a line which lies evenly with the points on itself. Euclid summarized these statements as definitions. EUCLID’S DEFINITIONS, AXIOMS AND POSTULATES:Ī solid has three dimensions, a surface has two, a line has one and a point has none. The geometry of plane figures is known as “Euclid’s Geometry”.