References

  1. Tom M. Apostol, Introduction to analytic number theory, Springer Verlag, New York, 1976.

  2. A. Bager, A family of goniometric inequalities, Univ. Beograd. Publ. Elektrotehn. Fak. (1971), no. 338-352, 5–25.

  3. W.J. Blundon, On certain polynomials associated with the triangle, Math. Mag. 4 (1963), 247–248.

  4. W.J. Blundon, Inequalities associated with the triangle, Canad. Math. Bull. 8 (1965), 615–626.

  5. W.J. Blundon, Generalization of a relation involving right triangles, Amer. Math. Monthly 74 (1967), 566-568.

  6. O. Bottema et al., Geometric inequalities, Wolters-Noordhoff, Gröningen, 1968.

  7. Jean Dieudonné, Infinitesimal calculus, Hermann, Paris, 1971.

  8. L. Fejes-Tóth, Lagerungen in der Ebene, auf der Kugel und im Raum, Springer-Verlag, Berlin, New York, 1972.

  9. G.H. Hardy, J.E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, 1952.

  10. Roger A Johnson, Advanced Euclidean geometry (modern geometry), Dover, New York, 1960.

  11. David C. Kay, College geometry, Holt, Rinehart and Winston, 1969.

  12. Nicholas D. Kazarinoff, Geometric inequalities, The Mathematical Association of America, Washington, 1961.

  13. W. Ljunggren, Some remarks on the Diophantine equations \(x^2 - dy^4 = 1\) and \(x^4 - dy^2 = 1\), J. London Math. Soc. 41 (1966), 542–544.

  14. D.S. Mitrinović, Analytic inequalities, Springer-Verlag, New York, 1970.

  15. Niven and Zuckerman, An introduction to the theory of numbers, John Wiley and Sons, New York, 1972.

  16. J. Topping, Plane trigonometry, Longmans, 1960.

  17. S. Vajda, Fibonacci and Lucas numbers, and the golden section, Ellis Horwood, West Sussex, 1989.