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Introduction to Euclid Geometry — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSIntroduction to Euclid Geometry1 Mark
Question
Euclid divided his famous treatise “The Elements” into:
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Answer

  1. 13 chapters.
    Solution:
  • Book 1 contains Euclid's 10 axioms.
  • Book 2 is commonly called the "book of geometric algebra".
  • Book 3 deals with circles and their properties.
  • Book 4 constructs the incircle and circumcircle of a triangle.
  • Book 5 is a treatise on proportions of magnitudes.
  • Book 6 applies proportions to geometry: similar figures.
  • Book 7 deals with elementary number theory.
  • Book 8 deals with proportions in number theory and geometric sequences.
  • Book 9 applies the results of the preceding two books and gives the infinitude of prime numbers.
  • Book 10 attempts to classify incommensurable (in modern language, irrational).
  • Book 11 generalizes the results of books 1-6.
  • Book 12 studies volumes of cones, pyramids, and cylinders.
  • Book 13 constructs the five regular Platonic solids.

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