Euclid's Definition, Axioms and Postulates

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Euclid's Definition, Axioms and Postulates: Overview

This topic covers concepts, such as, Euclidean Theorem for Intersection of Two Lines, Equivalent Versions of Euclid's Fifth Postulate, Fourth Postulate of Euclid & Fifth Postulate of Euclid etc.

Important Questions on Euclid's Definition, Axioms and Postulates

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What is Euclidean geometry? Also write the limitations of Euclidean geometry.

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Euclid's fifth postulate does imply the existence of parallel lines.

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In the above figure, 3+4>180°. If the lines l and m are produced indefinitely they will meet on that side on which 3+4>180°.

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In the adjacent figure,  a line n falls on lines l and m such that the sum of the interior angle1 and 2 is less than  180°.On which side of the transversal n will the line l and line m meet?

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State Euclid's fifth postulate. Mention one significance of Euclid's fifth postulate.

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A line which lies evenly with the points on itself is called a 

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A straight line is a line which does not lies evenly with the points on itself.

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Which of these following statement is true.

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A straight line is a line which lies evenly with the _____ on itself.

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State Euclid's definition of a straight line.

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The ends of a line segment are points.

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A _____ is that which has no part. 

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In geometry a point, a line and a plane are undefined.

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Why do we represent a point as a dot in the definition given by Euclid, even though it has some dimension.

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The edges of the surface are

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"A circle can be drawn with any centre and any radius" is Euclids 

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State Euclids fourth postulate.

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"All right angles are equal to one another." is Euclids second postulate.

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All right angles are equal to one another.

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All right angles are _____ to one another. (equal/unequal)