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Power of a point: from Jakob Steiner to modern applications

Published online by Cambridge University Press:  24 February 2022

Alexandru Gîrban  and
Bogdan D. Suceavǎ
Alexandru Gîrban
Affiliation:
Christ's College, St. Andrew's Street, Cambridge, CB2 3BU
Bogdan D. Suceavǎ
Affiliation:
Department of Mathematics, California State University, Fullerton, CA92834-6850, USA
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Extract

"What should we use?" seems to be the question when one approaches a plane geometry problem. In many ways, Euclidean geometry is a laboratory in the realm of logic, an ideal place where one can see how alternative methods can be employed to solve problems. What detail might represent a hint? And from among many choices, what method could one consider? Does the geometric structure suggest a certain type of approach?

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 565 , March 2022 , pp. 41 - 53
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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