Easy
Which of the following needs a proof?
- ATheorem
- BAxiom
- CDefinition
- DPostulate
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The number of interwoven $\ldots \ldots$ triangles in Sriyantra (in the Atharvaveda) is nine.
Easy
View SolutionRead the following statements which are taken as axioms:
$(i)$ If a transversal intersects two parallel lines,then corresponding angles are not necessarily equal.
$(ii)$ If a transversal intersects two parallel lines,then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
$(i)$ If a transversal intersects two parallel lines,then corresponding angles are not necessarily equal.
$(ii)$ If a transversal intersects two parallel lines,then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
Easy
View SolutionSolve 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 SolutionSolve the following question using appropriate Euclid's axiom:
Two salesmen make equal sales during the month of August. In September,each salesman doubles his sale of the month of August. Compare their sales in September.
Two salesmen make equal sales during the month of August. In September,each salesman doubles his sale of the month of August. Compare their sales in September.
Easy
View SolutionEuclid divided his famous treatise "The Elements" into:
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