# Thread: No quadrangle that is a square is a rectangle that is a rhombus

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.

2. ## Re: No quadrangle that is a square is a rectangle that is a rhombus

The sentence does not make sense.

not a teacher

3. ## Re: 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.

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

I have sent the source link If possible give me further explanation.

4. ## Re: No quadrangle that is a square is a rectangle that is a rhombus

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

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?

6. ## Re: No quadrangle that is a square is a rectangle that is a rhombus

Fair point.

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