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 ceremony to St. Christopher's Church in London, where a monument, destroyed in the great fire, was erected to him by his executors, Robert Sidney, Viscount Lisle, and Sir Thomas Aylesbury [q. v.] The inscription, preserved by Stow (Survey of London, . ii. 123, ed. Strype), celebrates his successful pursuit of all the sciences, and calls him 'Dei Triniunius cultor piissimus.' In his 'Report of Virginia' Harriot speaks with reverence of the Christian religion, and the lines in Dr. Corbet's poem on the comet of 1618, referring to deep Harriot's mine, In which there is no dross, but all refine,

have been interpreted in favour of his orthodoxy. Wood, however, asserts that he 'made a philosophical theology, wherein he cast off the Old Testament.' It is possible that reference is made to Harriot and to his popular reputation as a rationalist in the 'opinion' ascribed to Christopher Marlowe, 'that Moyses was but a Juggler, and that one Heriots can do more than hee '(cf. Harl. MS. 6853, f. 320).

Harriot's health was long weak. He complained to Kepler on 2 Dec. 1606 of inability to write or even think accurately upon any subject, which may explain his failure to complete and publish his discoveries. Sir William Lower warned him in 1609 that his procrastination might lead to the anticipation of some of his ' rarest inventions and speculations.' Among Harriot's anticipated discoveries Lower mentions the ellipticity of the planetary orbits, a ' curious way to observe weights in water,' and ' the great invention of algebra,' the ' garland ' for which had been snatched by Viete. Lower adds that these were small discoveries in comparison with others in Harriot's 'storehouse.'

The posthumous publication of Harriot's ' Artis Analyticae Praxis ad JEquationes Algebraicas resolvendas ' (London, 1631) was due to Sir Thomas Aylesbury, who induced Warner, by the promise of the continuance of his pension from the Earl of Northumberland, to 'draw out some piece fit to be published' from his friend's manuscripts. This work embodies the inventions by which Harriot virtually gave to algebra its modern form. The important principle was introduced by him that every equation results from the continual multiplication of as many simple ones as there are units in the index of its highest power, and has consequently as many roots as it has dimensions. He first brought over to one side, and thus equated to zero all the terms of an equation; he adverted to the existence of negative roots, improved algebraical notation, and invented the signs of inequality > and <. Dr. Wallis's claim on behalf of the 'incomparable' author to have laid the foundation, 'without which the whole superstructure of Descartes had never been' (A Treatise of Algebra, p. 126, 1685), raised a sharp controversy, scarcely yet extinct, between French and English mathematicians. Dr. Pell remarked that had Harriot 'published all he knew in algebra, he would have left little of the chief mysteries of that art unhandled.' But Warner's promise (Epilogue to Praxis, p. 180) of continuing his editorial labours remained unfulfilled.

Harriot's will was not found, but Camden states that he divided his papers between Sir Thomas Aylesbury and Viscount Lisle. Aylesbury's share, transmitted to his son-in-law, the Earl of Clarendon, never came to light, though diligently inquired for in 1662-3 by the Royal Society (, Hist. R. Society, i. 120, 309). The remainder, handed over by Lord Lisle to his father-in-law, the Earl of Northumberland, descended from him to the Earl of Egremont, and were discovered at Petworth Castle by Baron von Zach in 1784, buried beneath a pile of old stable accounts. His account of the contents published in the Berlin 'Ephemeris' for 1788, and translated into English, was disfigured by some inaccuracies corrected later by Professor Rigaud. Von Zach designed to write from these new materials a biography of Harriot, and in 1786 made a proposal to the university of Oxford for its publication, but he merely transmitted in 1794, without any illustrative text, the selected original manuscripts which it should have accompanied. These were submitted to Dr. Robertson, the Savilian professor of astronomy, who reported in 1802 that their publication would show Harriot to have been very assiduous in his studies and observations, but could not contribute to advance science (Edinburgh Philosophical Journal, vi. 314). They are now at Petworth Castle, having been restored to Lord Egremont, by whom the remaining papers, being seven-eighths of the entire, were presented to the British Museum.

Harriot was known only as a mathematician until Von Zach's disclosures showed him to have been an astronomer as well. He applied the telescope to celestial purposes almost simultaneously with Galileo. In July 1609 he is said to have made with its help two sketches of the moon (Encycl. Brit. xvl. 528, 8th ed.), and he commenced on 17 Oct. 1610 a series of observations on ' the new-found planets about Jupiter,' continued until 26 Feb. 1612, and accompanied by calculations of I their orbits, and graphical notes of their con-