The task. Rate and Change
16 USD The wheel is given points A and B. Find the geometric location of points M, for each of which MA·MB = MN2, where MN is touching the wheel in point N.
and disconnection.
From the knowledge of the properties of the silk and touching arises that m.t. It is the point of AM1 and BM2.
If the MA radius crosses a circle in point C, then the MA · MB = MN 2 and the MA · MC = MN 2. From there MB = MS, that is, the MBC triangle is equal and .
The difference is constant. I mean Mr. T. They also satisfy the points that are the heights of the equal corners that are based on the AB section of the given length, i.e. the points of the hole (without its ends) of the second hole that passes through the points A, B, M.
Thus, the M.T. is looking for. - the combination of the AM1, BM2 and the AMB lumens, located outside the given circle.
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