[138] These are the figurate numbers considered in pages 183, 187, &c.

[139] Commercium Epistolicum. Epistola ad Oldenburgum, Oct. 24, 1676. Horsley’s Works of Newton, vol. iv. p. 541. See De Morgan in Penny Cyclopædia, art. “Binomial Theorem,” p. 412.

[140] Bk. ii. chap. iv.

[141] Philosophical Transactions (1866), vol. 146, p. 334.

[142] Budget of Paradoxes, p. 257.

[143] Proceedings of the Royal Society (1872–3), vol. xxi. p. 319.

[144] Life of Galileo, Society for the Diffusion of Useful Knowledge, p. 102.

[145] Professor Bowen has excellently stated this view. Treatise on Logic. Cambridge, U.S.A., 1866, p. 354.

[146] Roscoe’s Spectrum Analysis, 1st edit., p. 98.

[147] Euler’s Letters to a German Princess, translated by Hunter. 2nd ed., vol. ii. pp. 17, 18.