Constructible number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Constructible number" in English language version.

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Klein (1897), p. 3. Klein, Felix (1897), Famous Problems of Elementary Geometry, translated by Beman, Wooster Woodruff; Smith, David Eugene, Ginn & Co
Klein (1897), p. 13; Fraleigh (1994), pp. 429–430. Klein, Felix (1897), Famous Problems of Elementary Geometry, translated by Beman, Wooster Woodruff; Smith, David Eugene, Ginn & Co Fraleigh, John B. (1994), A First Course in Abstract Algebra (5th ed.), Addison Wesley, ISBN 978-0-201-53467-2
Klein (1897), p. 16. Klein, Felix (1897), Famous Problems of Elementary Geometry, translated by Beman, Wooster Woodruff; Smith, David Eugene, Ginn & Co
Klein (1897), pp. 68–77, Chapter IV: The transcendence of the number $π$ . Klein, Felix (1897), Famous Problems of Elementary Geometry, translated by Beman, Wooster Woodruff; Smith, David Eugene, Ginn & Co

Lawrence & Zorzitto (2021), p. 440. Lawrence, John W.; Zorzitto, Frank A. (2021), Abstract Algebra: A Comprehensive Introduction, Cambridge Mathematical Textbooks, Cambridge University Press, ISBN 978-1-108-86551-7
For the addition and multiplication formula, see Kay (2021), p. 187, Theorem 8.1.10. For the division formula, see Kay (2021), pp. 188, 224, Equations 8.8 & 9.2. The expansion of the square root can be derived from the half-angle formula of trigonometry; see an equivalent formula at Lawrence & Zorzitto (2021), p. 440. Kay, Anthony (2021), Number Systems: A Path into Rigorous Mathematics, Taylor & Francis, ISBN 978-0-367-18065-2 Kay, Anthony (2021), Number Systems: A Path into Rigorous Mathematics, Taylor & Francis, ISBN 978-0-367-18065-2 Lawrence, John W.; Zorzitto, Frank A. (2021), Abstract Algebra: A Comprehensive Introduction, Cambridge Mathematical Textbooks, Cambridge University Press, ISBN 978-1-108-86551-7

Neumann (1998). Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403
Neumann (1998). Elkin (1965) comes to the same conclusion using different points and a different polynomial. Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403 Elkin, Jack M. (March 1965), "A deceptively easy problem", The Mathematics Teacher, 58 (3): 194–199, doi:10.5951/MT.58.3.0194, JSTOR 27968003
Elkin (1965); see also Neumann (1998) for an independent solution with more of the history of the problem. Elkin, Jack M. (March 1965), "A deceptively easy problem", The Mathematics Teacher, 58 (3): 194–199, doi:10.5951/MT.58.3.0194, JSTOR 27968003 Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403

Neumann (1998). Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403
Neumann (1998). Elkin (1965) comes to the same conclusion using different points and a different polynomial. Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403 Elkin, Jack M. (March 1965), "A deceptively easy problem", The Mathematics Teacher, 58 (3): 194–199, doi:10.5951/MT.58.3.0194, JSTOR 27968003
Elkin (1965); see also Neumann (1998) for an independent solution with more of the history of the problem. Elkin, Jack M. (March 1965), "A deceptively easy problem", The Mathematics Teacher, 58 (3): 194–199, doi:10.5951/MT.58.3.0194, JSTOR 27968003 Neumann, Peter M. (1998), "Reflections on reflection in a spherical mirror", American Mathematical Monthly, 105 (6): 523–528, doi:10.2307/2589403, JSTOR 2589403