document.write( "Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?\r
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Algebra.Com's Answer #849574 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "After reading the @greenestamps comment to Edwin's comment,
\n" ); document.write( "I can not leave this subject without my comment.\r
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\n" ); document.write( "\n" ); document.write( "The point by @greenestamps turns upside down all Euclidian geometry
\n" ); document.write( "and all the known Math logic.\r
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\n" ); document.write( "\n" ); document.write( "Consider one example, this statement, which is one of the many theorems of Euclidian geometry: \r
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\n" ); document.write( "\n" ); document.write( "         in isosceles triangles, the angles at the base are congruent.\r
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\n" ); document.write( "\n" ); document.write( "This statement relates to all isosceles triangle.\r
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\n" ); document.write( "\n" ); document.write( "Then, following to the @greenestamps logic, it is enough to check or to prove it
\n" ); document.write( "for equilateral triangles, ONLY.\r
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\n" ); document.write( "\n" ); document.write( "But it is clear to everyone, that this logic does not work.\r
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\n" ); document.write( "\n" ); document.write( "In all textbooks on Geometry, you will find the proof of the statement valid
\n" ); document.write( "for ALL isosceles triangles. No one Geometry textbook says that for proving
\n" ); document.write( "general statement, it is enough to check or to prove it for some special/specific case.\r
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\n" ); document.write( "\n" ); document.write( "Are all these textbooks (including Euclid himself) incorrect and teach us in wrong way ?\r
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