Recent questions tagged euclid

A line which falls evenly on the point on itself

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the ends of a line are

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A line is breadthless

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The point that has no

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The number of dimensions, a solid has :

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The number of dimensions, a surface has :

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The number of dimension, a point has :

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The total number of propositions in the Elements are :

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Boundaries of solids are :

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Boundaries of surfaces are :

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A pyramid is a solid figure, the base of which is

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. The side faces of a pyramid are :

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It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is :

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In ancient India, the shapes of altars used for house hold rituals were :

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The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:

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. Greek’s emphasised on :

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In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for :

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Euclid belongs to the country :

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Thales belongs to the country :

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Pythagoras was a student of :

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Which of the following needs a proof ?

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Euclid stated that all right angles are equal to each other in the form of

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‘Lines are parallel if they do not intersect’ is stated in the form of

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Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

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Two distinct intersecting lines cannot be parallel to the same line.

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“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.

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The statements that are proved are called axioms.

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If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

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The things which are double of the same thing are equal to one another

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The edges of a surface are curves.

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The boundaries of the solids are curves.

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Euclidean geometry is valid only for curved surfaces.

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If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 120°, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is

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John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid’s axiom that illustrates the relative ages of John and Ram (A) First Axiom (B) Second Axiom (C) Third Axiom (D) Fourth Axiom

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Axioms are assumed (A) universal truths in all branches of mathematics (B) universal truths specific to geometry (C) theorems (D) definitions

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The things which are double of the same thing are (A) equal (B) unequal (C) halves of the same thing (D) double of the same thing

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Euclid’s fifth postulate is (A) The whole is greater than the part. (B) A circle may be described with any centre and any radius. (C) All right angles are equal to one another. (D) 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.

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All right angles are equal to one another.

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A circle may be described with any centre and any radius.

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A terminated line (line segment) can be produced indefinitely.

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A straight line may be drawn from any point to any other point.

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Things which are halves of the same thing are equal to one another.

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Things which are double of the same thing are not equal to one another

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The whole is not greater than the part.

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Things which coincide with one another are equal to one another.

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If equals be subtracted from equals, the remainders are equals.

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If equals be added to the equals, the wholes are not equal.

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The things which are equal to the same thing are equal to one another.

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