References

1

Roberto Bonola, Non-Euclidean Geometry, Dover, New York, 1955.

2

Carl Boyer, Pascal's formula for the sums of powers of the integers, Scripta Mathematica, 9 (1943), 237--244.

3

Georg Cantor, Contributions to the Foundations of the Theory of Transfinite Numbers, Article I, Dover, New York, 1895.

4

Arthur Cayley, The Collected Mathematical Papers of Arthur Cayley, vol. 1, 423--424; vol. 2, 123--132, Cambridge University Press, Cambridge, 1889.

5

John Conway, On Numbers and Games, Academic Press, London, 1976, pp. 3--14.

6

Richard Dedekind, Essays on the Theory of Numbers, Dover, New York, 1963, pp. 1--27.

7

F. Gotthold Eisenstein, Geometrischer Beweis des Fundamentaltheorems für die quadratischen Reste, Journal für die Reine und Angewandte Mathematik (Crelle's Journal), 28 (1844), 246--248 and Taf. II: Figs. 1,2.

8

Leonhard Euler, Opera Omnia, Teubner, Leipzig & Berlin, 1924--25, Series I, vol. 14, 73--86.

9

T. L. Heath (ed.), The Elements, Dover, New York, 1956, vol. I, pp. 153--155.

10

T. L. Heath, The Works of Archimedes, Dover, New York, pp. 107--109, 176--182.

11

Adrien M. Legendre, Sur quelques objets d'analyse indeterminée et particulièrement sur le théoreme de Fermat, Second Supplément (Sept. 1825) to Théorie des Nombres, Second Edition, 1808.

12

Reinhard Laubenbacher and David Pengelley, Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem, College Mathematics Journal, 25 (1994), 29--34.

13

Reinhard Laubenbacher and David Pengelley, Gauß , Eisenstein, and the `Third' Proof of the Quadratic Reciprocity Theorem: Ein Kleines Schauspiel, Mathematical Intelligencer, 16 (1994), 67--72.

14

Reinhard Laubenbacher and David Pengelley, ``Here is What I Have Found'': Sophie Germain's Forgotten Number Theory Manuscripts, in preparation.

15

Blaise Pascal, Oeuvres de Blaise Pascal, Kraus Reprint, Vaduz, Liechtenstein, 1976, vol. 3, 341--367.

16

David E. Smith, Source Book in Mathematics, Dover, New York, 1959, pp. 203--206.

17

Ibid., pp. 677--683.

18

Ibid., pp. 85--90.

19

Dirk J. Struik, A Source Book in Mathematics, 1200--1800, Princeton Univ. Press, Princeton, 1986, pp.\ 227--230.

20

J. J. Winter and W. `Arafat, The Algebra of `Umar Khayyam, Journal of the Royal Asiatic Society of Bengal, 41 (1950), 27--78.