Power of a point: from Jakob Steiner to modern applications

"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 hin...

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Veröffentlicht in:Mathematical gazette 2022-03, Vol.106 (565), p.41-53
Hauptverfasser: Gîrban, Alexandru, Suceavǎ, Bogdan D.
Format: Artikel
Sprache:eng
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Zusammenfassung:"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?
ISSN:0025-5572
2056-6328
DOI:10.1017/mag.2022.8