[7] The science of pure mathematics is perhaps indebted to no one in so great a degree as to George Bruce Halstead, formerly of the University of Texas, whose labors in connection with the popular exposition of the non-Euclidean geometry have been most untiring and effectual. Vide Popular Astronomy, Vol. VII and VIII, 1900, Dr. G. B. Halstead.

[8] Note.—M may be any point on the line BA indefinitely produced.

[9] Vide Non-Euclidean Geometry, p. 91.

[10] Vide Nature, Vol. XLV, 1892.

[11] Vide Monist, Vol. XVI, 1896, Mathematical Emancipations.

[12] Vide Monist, Vol. XIX, p. 402 (1909).

[13] Philosophical Review, Vol. VII (1898).

[14] Vide Foundations of Mathematics, p. 107.

[15] Vide Foundations of Mathematics, p. 42.

[16] Vide Science, Vol. VII, p. 2, No. 158, 1898.