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  1. vaibhavmaskar
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    #1

    No quadrangle that is a square is a rectangle that is a rhombus

    No quadrangle that is a square is a rectangle that is a rhombus.

    Explain above sentence in simple way.

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    #2

    Re: No quadrangle that is a square is a rectangle that is a rhombus

    The sentence does not make sense.

    not a teacher

  2. vaibhavmaskar
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    #3

    Re: No quadrangle that is a square is a rectangle that is a rhombus

    Quote Originally Posted by vaibhavmaskar View Post
    No quadrangle that is a square is a rectangle that is a rhombus.

    Explain above sentence in simple way.

    http://en.m.wikipedia.org/wiki/The_Laws_of_Thought

    I have sent the source link If possible give me further explanation.
    Last edited by Rover_KE; 27-Oct-2014 at 15:33.

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    #4

    Re: No quadrangle that is a square is a rectangle that is a rhombus

    The link would have been more helpful in post #1.

    Note the warning on that link: 'This page has some issues'.

    One of the issues is that the quoted text doesn't make sense.

  3. Raymott's Avatar
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    #5

    Re: No quadrangle that is a square is a rectangle that is a rhombus

    I think it's an incorrect statement. A square is a rhombus (cf, post #4)
    "Every rhombus is a parallelogram, and a rhombus with right angles is a square.[1][2]"
    http://en.wikipedia.org/wiki/Rhombus
    A square is a rectangle, a quadrangle, and a rhombus.

    A square quadrangle IS a rhomboid rectangle. Example - a square.
    In fact all square quadrangles are rhomboid rectangles. In that case, "All quadrangles that are squares are rectangles that are rhombuses."

    Breaking the original down in another way:
    A: "No quadrangle that is a square is a rectangle that is a rhombus."
    B: A quadrangle that is a square is a square. Therefore, the statement becomes:
    C: "No square is a rectangle that is a rhombus
    D: But a rectangle that is a rhombus is a rhombus. Therefore the statement becomes:
    E: No square is a rhombus.
    F: But all squares are rhombuses (as Wiki tells us).
    G: If all squares are rhombuses, then "All quadrangles that are squares are rectangles that are rhombuses.

    Have I missed something obvious?
    Last edited by Raymott; 27-Oct-2014 at 15:55.

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    #6

    Re: No quadrangle that is a square is a rectangle that is a rhombus

    Fair point.

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