Math, asked by GWENPOOL, 11 months ago

mention all Euclid's axioms​

Answers

Answered by amayara59
5
  1. Things which are equal to the same thing are equal to one another.
  2. If equals are added to equals,the wholes are equals.
  3. If equals are subtracted from equals, the remainders are equal.
  4. Things which coincide with one another are equal to one another.
  5. The whole is greater than the part.
  6. Things which are doubles of the same things are equal to one another.
  7. Things which are halves of the same things are equal to one another.

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Answered by AdorableAstronaut
28

\huge{\underline{\mathfrak{Euclid's\:Axioms}}}

What are axioms?

Axioms are the sentences that are accepted in real life and are self evidently true.

Here are few axioms stated by Euclid :

  • Euclid's first axiom states that things which are equal to the same thing are equal to one another.
  • Euclid's second axiom states that If equals are added to equals, the wholes are equals.
  • Third axiom states that If equals are subtracted from equals, the remainders are equals.
  • Fourth axiom of Euclid states that Things which coincide with one another are equal to one another.
  • The fifth axiom tells us that The whole is greater than the part.
  • Sixth axiom of Euclid states that Things which are double of the same things are equal to one another.
  • Euclid's seventh and the last axiom states that things which are halves of the same things are equal to one another.
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