MHB -3 circles centers on line segment PQ

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The discussion centers on the geometric relationship of three circles with respect to a line segment PQ, emphasizing that conclusions should be drawn from observation rather than assumptions. It highlights that the diameters of the two smaller circles should not be assumed equal. The large circle's diameter is expressed as the sum of the segments PR and RQ, reinforcing the importance of precise calculations. Participants note that GRE diagrams often lack clarity, which can lead to incorrect assumptions. Overall, the conversation stresses careful analysis in geometric problems.
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GRE236.pngit was done by simple observation
typos maybe,,,,

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One should not assume the two smaller diameters are equal ...

Large circle diameter, $D = PR+RQ$

$\pi D = \pi(PR+RQ) = \pi \cdot PR + \pi \cdot RQ$
 
good point...

yes I know often the GRE diagrams are not for assumptions
so just adding as equal term is not absolute
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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