The sentence does not make sense.
not a teacher
vaibhavmaskar
Guest
No quadrangle that is a square is a rectangle that is a rhombus.
Explain above sentence in simple way.
The sentence does not make sense.
not a teacher
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.
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.
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.
Fair point.
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