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Introduction to Euclids Geometry Test - 1

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Introduction to Euclids Geometry Test - 1
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  • Question 1
    1 / -0

    The three steps from solids to points are

    Solution

    Explanation:

    in each step we lose one dimension. solid- 3 dimension. surface- 2 dimension. lines- 1 dimension. point- has no dimension

     

     

  • Question 2
    1 / -0

    The number of dimension, a point has

    Solution

    Explanation:

    because point has no part.

     

     

  • Question 3
    1 / -0

    The number of dimensions, a line has

    Solution

    Explanation:

    Because a line is a breathless length.

     

     

  • Question 4
    1 / -0

    The number of dimensions, a surface has

    Solution

    Explanation:

    the surface is that which has length and breadth.  (1 dimension+ 1 dimenssion= 2 dimension)

     

     

  • Question 5
    1 / -0

    The number of dimensions, a solid has

    Solution

    Explanation:

    a solid shape also has a depth.solids by their nature have an inside and an outside separated by a surface. that's why solid is a three dimensional struture. it has length, breadth and depth.

     

     

  • Question 6
    1 / -0

    Euclid divided his famous treatise “The Elements” into

    Solution

    Explanation:

    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.

     

     

  • Question 7
    1 / -0

    The total number of propositions in the Euclid’s Elements is

    Solution

    Explanation:

    Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. There are 131 definitions, 465 propositions ,5 Postulates and 5 common notions in Euclid's Elements.

     

     

  • Question 8
    1 / -0

    The boundaries of surfaces are

    Solution

    Explanation:

    because surface has both length and breadth which are lines.

     

     

  • Question 9
    1 / -0

    The boundaries of solids are

    Solution

    Explanation:

    because solid has both inner and outer part separated by surface.

     

     

  • Question 10
    1 / -0

    A pyramid is a solid figure, the base of which is

    Solution

    Explanation:

    A pyramid is a polyhedron formed by connecting of polygonal base and an apex. Each base edge and apex forms a triangle, called the lateral face.It is a conic solid with polygonal base.

     

     

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