dorsal/arxiv
View SchemaSpatial Localization Problem and the Circle of Apollonius
| Authors | Joseph Cox, Michael B. Partensky |
|---|---|
| Categories | |
| ArXiv ID | physics/0701146 |
| URL | https://arxiv.org/abs/physics/0701146 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The Circle of Apollonius is named after the ancient geometrician Apollonius of Perga. This beautiful geometric construct can be helpful when solving some general problems of mathematical physics, optics and electricity. Here we discuss its applications to the 'source localization' problems, e.g. pinpointing a radioactive source using the set of Geiger counters. The Circles of Apollonius help analyze these problems in transparent and intuitive manner. This discussion can be useful for High School Physics and Math curriculum.
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"abstract": "The Circle of Apollonius is named after the ancient geometrician Apollonius\nof Perga. This beautiful geometric construct can be helpful when solving some\ngeneral problems of mathematical physics, optics and electricity. Here we\ndiscuss its applications to the \u0027source localization\u0027 problems, e.g.\npinpointing a radioactive source using the set of Geiger counters. The Circles\nof Apollonius help analyze these problems in transparent and intuitive manner.\nThis discussion can be useful for High School Physics and Math curriculum.",
"arxiv_id": "physics/0701146",
"authors": [
"Joseph Cox",
"Michael B. Partensky"
],
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"physics.ed-ph",
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Spatial Localization Problem and the Circle of Apollonius",
"url": "https://arxiv.org/abs/physics/0701146"
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