Euclid's Definitions, Axioms and Postulates

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Euclid's Definitions, Axioms and Postulates: Overview

This topic covers concepts, such as Euclidean Geometry, Euclid's Definitions, Euclidean Dimension, Euclid's Definition of a Point, Euclid's Definition of a Line, Euclid's Definition of a Surface, Euclid's Definition of a Straight Line, Euclid's Definition of a Plane Surface, Limitations of the Definitions Given by Euclid, Euclid's Axioms, Consistency of Axioms, First Postulate of Euclid, Second Postulate of Euclid, Third Postulate of Euclid, Fourth Postulate of Euclid & Fifth Postulate of Euclid etc.

Important Questions on Euclid's Definitions, Axioms and Postulates

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Number of straight lines passing through the point 1,2 is

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

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Which of these following statement is true.

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

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

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"A terminated line can be produced indefinitely." is Euclids 

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Which of the following is a true statement?

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The total number of propositions in the Elements are:

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A is of the same age as B and C is of the same age as B. Euclid's which axiom illustrates the relative ages of A and C?

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The number of interwoven isosceles triangles in Sriyantra is

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Fill in the blanks:

__P__ is breadthless length. A __Q__ is a line which lies evenly with the points on itself. A __R__ is that which has length and breadth only. A __S__ is a surface which lies evenly with the straight lines on itself.

Choose the correct option:

  P Q R S
(a) Line Straight Line Surface Curved Surface
(b) Point Straight Line Surface Curved Surface
(c) Line Straight Line Surface Plane Surface
(d) Point Straight Line Surface Plane Surface

  

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It is known that if a+b=10, then a+b-c=10-c. State the Euclid's axiom that best illustrates this statement.

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Quantities which are equal to the same quantity are equal to each other. The whole is equal to the sum of its parts and hence, whole is greater than the parts.

If in a line segment AE, AB=BC, BC=CD and CD=DE, then AB=

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In the given figure, AC=XDC is mid-point of AB and D is mid-point of XY. Using an Euclid's axiom, we have

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For every line l and for every point P (not on l ), there does not exist a unique line through P

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In the given figure, if AB=BC and BX=BY, then

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Priya and Pooja have the same amount of money. If each gets  4000 more, how will their new amounts be compared?