Math, asked by Anonymous, 10 months ago

Wanna be brainliest then answer this question correctly

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Answered by SwastikaSarkar
0

Answer:

can you please ask one by one and not altogether

Answered by bhaktamanju89
2

Answer:

  1. Triangle
  2. Euclid's fifth postulate states that that, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
  3. First draw the line AB.<br> to draw a equilateral triangle<br> draw circles from both the points of the lineAB(remember that the radius of circle should equal to the length of lineAB)<br> the point where both the circles are intersecting, name that point C<br> after joining the points AC and BC <br>we get the required equilateral triangle.
  4. Here we are given two lines l and m. We need to prove that they have only one point in common.For the time being, let us suppose that the two lines intersect in two distinct points, say P and Q. So, you have two lines passing through two distinct points P and Q. But this assumption clashes with the axiom that only one line can pass through two distinct points. So, the assumption that we started with, that two lines can pass through two distinct points is wrong. From this, what can we conclude? We are forced to conclude that two distinct lines cannot have more than one point in common.
  5. Second Axiom: If equals are added to equals, the whole are equal.
  6. In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems
  7. Euclid's Treatise "The Elements' was written in 13 books (chapter).

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