W A L 
he tried his skill, in 1660, upon two deaf subjects, with a 
considerable degree of success. After the establishment of 
the Royal Society in 1663, Dr. Wallis, who was one of its 
first members, very much contributed to its reputation and 
permanence by his own communications, and by his account 
of mathematical papers, transmitted to it by other persons. 
He also published, in 1663, his tract “ De Proportionibus,” 
and his illustration of the laws of motion in the collision of 
bodies; and in 1668 he presented to the public his hypo¬ 
thesis concerning the tides, in his treatise “ De iEstu Maris, 
Hypothesis nova.” In the following year appeared the first 
part of his principal work, intitled “ De Motu,” which was 
followed in the two succeeding years by the other two parts; 
and in 1671 he completed the whole, under the title of 
“ Mechanica, sive de Motu, Tractatus Geometricus.” His 
other publications were “ Horocii Opera Posthuma, with 
Flamstead’s Discourse on the Equation of Time,” 1673, 
and “ Archimedes’ Arenarius,” and “ Dimensio Circuli,” 
“ Ptolemaei Opus Harmonicum,” with Latin version, and 
notes, 1680, and an “Appendix de Veterum Harmonica, 
ad hodiernam comparata;” “ Porphyrii in Harmonica 
Ptolemaei Commentarius ex Codice Manuscripto, Graece et 
Latine editus, et Manuelis Bryennii Harmonica ex Cod. 
Man.:” his “Algebra,” 1684, with his Arithmetic of In¬ 
finites, the Infinitesimal Method of Leibnitz; and that of 
Fluxions, by Sir I. Newton;”—“ Three Dissertations upon 
Melchizedek, Job, and the Titles of the Psalms,” 1658;— 
“ Institutio Logica,” 1687 ; “ Aristarchus Samius de Mag- 
nitudine Solis et Lunae,” with “ Pappi Alexandrini Libri 
Secundi Collectionum Mathematicarum hactenus desiderati 
Fragmentum,” 1689; and also a Letter to Sir Samuel More¬ 
land, in order to prove that Des Cartes borrowed his im¬ 
provement in algebra from his countryman Harriot:—“The 
Doctrine of the Ever-blessed Trinity,” 1690; and “ On the 
Christian Sabbath,” 1691. About this time the curators of 
the university-press at Oxford began to collect his mathe¬ 
matical works, with a view of publishing them in the Latin 
tongue. The first volume was committed to the press in 
1692, and the first two volumes appeared in 1696; and the 
third volume, containing the Cominercium Epistolicum, or 
Letters concerning the original Author of the Method of 
Fluxions, and a Letter concerning the annual Parallax of 
the Earth, from Mr. Flamstead, was published in 1698. 
Thus closed the scientific and literary labours of Dr. Wallis, 
who died in October, 1703, in the 88th year of his age; 
leaving behind him one son and two daughters. Of his 
general character, moral and political, it will be sufficient to 
say, that he was prudent and moderate, endeavouring, in 
the collision of parties, to promote what he conceived to be 
the true interest of religion and science, and of the public 
community. As a mathematician, he is thought to have 
excelled in judgment and industry more than in genius. 
Biog. Brit. Hutton's Math. Diet. 
WALLIS’S BAY, or Harbour, a bay in the straits of 
Magellan ; 12 miles north-east of Cape Forward. 
WALLIS’S ISLAND, a small island near the south-east 
coast of New Ireland, at the entrance of Gower’s Harbour, 
called Tsle de Marteaux by M. Bougainville; 9 miles north¬ 
west of Cape St. George. 
WALLIS’S ISLANDS, in the South Pacific ocean, dis¬ 
covered by Capt. Wallis in the year 1767, surrounded by a 
reef of rocks. The inhabitants, according to his observa¬ 
tions, were robust and active, quite naked, except a kind of 
mat wrapped round the middle. No other animal was seen, 
either bird or beast, except sea-fowl. The trees were of dif¬ 
ferent sorts, and many of them large. The only fruit were a 
few cocoa-nuts. Lat. 13. 18. S. long. 177. W. 
WALLKILL, a post township of the United States, in 
Orange county, New York; 20 miles west of Newburgh. 
WALLKILL, a river of the United States, which rises in 
New Jersey, and runs north-east, and flows into the Hudson, 
near Kingston, New York. It passes through the Drowned 
Lands. Length 80 miles. 
WALL-LOUSE, s. [cimex , Lat.] An insect; a bug. 
Ainsworth. 6 
Vol. XXIV. No. 1655. 
W A L 549 
WALLOE, or Woto, a small sea-port on the Ivory coast 
of Africa. Lat. 5. 20. N. long. 4. 55. W. 
To WA'LLOP, v. n. [jiealan, to boil, Saxon.] To boil. 
WALLOP, Nether, a parish of England, in Southamp- 
tonshire; \\ miles west-by-north of Stockbridge. Popu¬ 
lation 668. 
WALLOP, Over, another parish in the above county; 
5| miles west-north-west of Stockbridge. Population 465. 
WALLOP’S ISLAND, an island in the Atlantic, near 
the coast of Virginia. Lat. 37. 48. N. long. 75. 28. W. 
To WA'LLOW, v. n. [walugan , Gothic; Jtalpian, 
Saxon.] To move heavily and clumsily. 
Part, huge of bulk .* 
Wallowing unwieldy, enormous in their gait. 
Tempest the ocean. Milton. 
To roll one’s self in mire, or any thing filthy; to roll upon 
any thing.—To live in any state of filth or gross vice.—God 
sees a man wallowing in his native impurity, delivered over 
as an absolute captive to sin, polluted with its guilt, and en¬ 
slaved by its power; and, in this most loathsome condition, 
fixes upon him as an object of his distinguishing mercy. 
South. 
To WA'LLOW, v. a. To roll.—O daughter of my 
people, g-ird thee with sack-cloth, and wallow thyself in 
ashes. Jer. 
WA'LLOW, s. A kind of rolling walk. 
One taught the toss, and one the French new wallow ; 
His sword-knot this, his cravat that design’d. Drydcn. 
WA'LLOWER, s. One who rolls himself in mire. 
Lust’s votaries, who live and die 
Eternal wallowers in Circe’s sty. Nevile. 
WA'LLOWISH, adj. As unwelcome to any true con¬ 
ceit, as sluttish morsels, or wallowish potions to a nice 
stomach. Overbury. 
WALLRU'E, s. \_adiantujn album, Latin.] An herb. 
Ainsworth. 
WALLS AND FLOTA, a parish in Orkney, compre¬ 
hending a part of the island of Hoy called Walls or Wayes, 
the island of Flota, and the small islands of Farra, Cava, 
and Gransey. Population 1084. 
WALLS AND SANDNESS, a parish of Shetland, com¬ 
posed of the districts of Walls and Sandness, and the islands 
of Papastour and Fowla. The two former districts lie on the 
westernmost part of the Mainland, and are somewhat of a 
triangular figure; 11 miles long by 9 broad, much inter¬ 
sected by arms of the sea, and diversified by many small 
eminences. 
WALLSEND, a township of England, in Northumbep- 
lands; 3j miles east-north-east of Newcastle-upon-Tyne. 
Population 1626. 
WALLTOWN, a hamlet of England, in Northumberland, 
near Haltwhistle. 
WALLUBGHUR, a hill fortress of Hindostan, province of 
Bejapoor, district of Darwar. It was long in possession of 
the Mahratta chief Purseram Bhow. On his death it was 
taken possession of by the Colapoor rajah, but is now in pos¬ 
session of the British. Lat. not ascertained. 
WA'LLWORT, s, [ebulum, Lat.] A plant, the same 
with dwarf-elder, or danewort. 
WALMER, a village and parish of England, in the county 
of Kent. It is separated from the coast by a narrow channel. 
It is reckoned one of the members of the Cinque Ports, and 
belongs to Sandwich. Here is an ancient castle, erected by 
Henry VIII., for the defence of the Downs, in which the lord 
warden of the Cinque Ports occasionally resides; 1± mile 
south of Deal. Population 2154. 
WALMER, a hamlet of England, in the parish of West- 
bury, Gloucestershire. 
WALMERSLEY, a township of England, county of Lan¬ 
caster. Population 2619. 
WALMSGATE, a parish of England, in Lincolnshire; 
miles north-north-west of Spilsby. 
WALMSLEY, a hamlet of England, in Lancashire; 4j 
miles north of Great Bolton. 
5 Y WALNEY 
