Easy
Write whether the following statement is True or False. Justify your answer.
The Euclidean geometry is valid only for figures in the plane.
The Euclidean geometry is valid only for figures in the plane.
(TRUE) True. Euclidean geometry is based on the assumption of a flat surface (Euclidean plane). It fails on curved surfaces. For example,on a spherical surface,the sum of the angles of a triangle is always greater than $180^{\circ}$.
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Solve the following question using the appropriate Euclid's axiom:
Look at the figure. Show that the length $AH >$ the sum of the lengths of $AB + BC + CD$.
Look at the figure. Show that the length $AH >$ the sum of the lengths of $AB + BC + CD$.
Medium
View SolutionIn the Book of Elements $1$,how many definitions are given?
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View SolutionHow many dimensions does a surface have?
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View SolutionStudy the following statement: "Two intersecting lines cannot be perpendicular to the same line". Check whether it is an equivalent version to Euclid's fifth postulate.
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View SolutionState whether the following statement is True or False and justify your answer:
Euclid's fourth axiom states that things which coincide with one another are equal to one another.
Euclid's fourth axiom states that things which coincide with one another are equal to one another.
Easy
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