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Why is axiom 5, in the list of Euclid’s ...

Why is axiom 5, in the list of Euclid’s axioms, considered as a ‘universal truth’ ?

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Given the sets A = {1, 3, 5), B = {2, 4, 6} and C = {0, 2, 4, 6, 8), which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0,1, 2, 3, 4, 5, 6} (ii) ϕ (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}

Using Euclid’s axioms/postulates bisect a given finite straight line.

List five axioms (postulates) used in this book.

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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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MODERN PUBLICATION-INTRODUCTION TO EUCLID'S GEOMETRY-EXERCISE
  1. Why is axiom 5, in the list of Euclid’s axioms, considered as a ‘unive...

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  2. Explain the difference between an axiom and a theorem.

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  3. Define the following Ray?

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  4. Define the following Line segment?

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  5. Define the following Half-line?

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  6. Define the following Parallel lines.

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  7. Define the following Intersecting lines.

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  8. Define the following Concurrent lines.

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  9. Define the following Collinear points

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  10. Define the following terms Planet

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  11. How many lines can pass through a given point?

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  12. How many circles can be drawn to pass through two given points?

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  13. How many points can be two distinct lines intersect at the most?

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  14. In the fig. AE=DF where E and F are mid-points of AB and DC respective...

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  15. In the fig. name six points, four line segments, four rays, three col...

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  16. How many lines can pass through a given point?

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  17. How many lines can pass through two given points?

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  18. How many points can be two distinct lines intersect at the most?

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  19. How many points can be two distinct lines intersect at the most?

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  20. How many planes can be made to pass through three distinct points?

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  21. Show that every line segment has one and only one middle point.

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