"homothetic center"

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CRC Concise Encyclopedia of Mathematics, Second Edition
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Excerpt - on Page 85: " ... Antilaplacian 1. Two pairs of antihomologous points form inversely similar triangles with the HOMOTHETIC CENTER. 2. The PRODUCT of distances from a HOMOTHETIC CENTER to two antihomologous points is a constant . 3. Any two ... "

Problems from Murray Klamkin (MAA Problem Book Series)
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Geometry Turned On: Dynamic Software in Learning, Teaching, and Research (Mathematical Association of America Notes)
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The Countingbury Tales: Fun With Mathematics
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