Triangle
in building, a gin formed perors"; and the "History of Germany in the Nineteenth Century," which was edge, used in conjunction with the Tsquare for drawing parallel, perpendicular, or diagonal lines. It has one right angle, the two others being each of 45°, or one English clergyman; from Westminster passed in 1663 to Christ Church, Oxford, ity represented by an equilateral triangle.
In geometry, a portion of a surface bounded by three lines, and consequently cor having three angles . Triangles are "And shall Trelawny die?" This was A plane tria riangle is a portion of a plane bounded by three straight lines called sides, and their points of intersection are head of an ancient Cornish house than angles may be classified either with reference to their sides or their angles. When classified with reference to their TRELAWNY, EDWARD JOHN, an triangles, which have no two sides equal. (2) Isosceles triangles, which have two sides equal. The isosceles triangle has a particular case, called the equilateral triangle, all of whose sides are equal. When classified with reference to their angles, there are two classes: (1) Right-angled triangles, which have one right angle.
TRIANGLE (2) Oblique-angled triangles, all of whose angles are oblique; subdivided into (a ) acute-angled triangles, which have all their angles acute; and (b) obtuseangled triangles, which have one obtuse angle. The sides and angles of a triangle are called its elements; the side on which it is supposed to stand is called the base, and the vertex of the opposite angle is called the vertex of the triangle; the distance from the vertex to the base is the altitude. Any side of a triangle the right-angled triangle one of the sides may be regarded as a base , though in about the right angle is usually taken.
The three angles of a plane triangle are together equal to two right angles, or 180°; its area is equal to half that of per or under side; sporophores scattered, same base and altitude; in a right-angled plane triangle the square of the side opposite the right angle is equal to the sum of the squares the other two sides.
In music, a bar of steel bent into the form of a triangle. It is suspended by one angle and struck with a small rod.
In pottery, a small piece of pottery placed between pieces of biscuit ware in hornblende. It is a silicate of calcium fired. In surveying, since every plane figure may be regarded as composed of a certain number of triangles, and as the area of a triangle is land surveying is nothing more than the easily computed, the whole practice of measurement of a series of plane triangles. Arithmetical triangle, a name given to a table of numbers arranged in a triangular manner, and formerly employed in arithmetical computation. It nium stop which causes the air as it proceeds to the pipes or reeds to pass 1 through a valve having a movable top, to which a spring and weight are attached. The up-and-down movement of the top of the valve gives a vibratory movement to the air, which similarly affects the sound produced. On Amerisides are curved lines of any kind whatcan organs, a fan-wheel by rotating in ever; as, a spheroidal triangle, lying on the surface of an ellipsoid, etc. which some of the lines are straight and Boston, Mass., was known. It arose from others curved. right-angled, obtuse- Spherical triangles take the names, angled, scalene, isosceles, and equilateral, ed, obtuseangled, acutein the same cases as plane triangles.
Two spherical triangles are polar, when the angles of the one are supplements of the sides of the other, taken in the same order. A spherical triangle is quadrantal, when one of its sides is equal to 90°.
TREVELYAN 1878, he moved the resolution on the extension of the County Franchise, which was lost by 52 votes. Trevelyan's litan English actor-manager; born in Lon- : "Letters from a ance as an actor in 1877 as Grimaldi at don, in 1853. He made his first appear- "Cawnthe Globe, and attracted attention in 1884 Parliament and other Poems" (1869); "Life and Letters in "The Private Secretary." In 1887 he " (2 vols. 1876; 2d ed. 1877); "The Early History of Charles James Fox" ( 1880); "American Revolution" (1909); "George III. and Charles Fox" (1914). the Mighty" and there produced many His Majesty's) Theatre with "Seats of notable successes. Later he elaborately born in 1873. Delicate in health he sought health in wandering and finally settled at Dartmoor, the scene of several of his novels. The works under his own name include: "Menotah: A Tale of the Canadian North West"; "God, Man and not interlace under and over, but cross Bonanza: A Story of the Outside"; "Scud: The Story of a Feud"; "The Plowshare and the
TREITSCHKE, HEINRICH VON, a ness." Works under his pseudonym inmany, Sept. 15, 1834; was educated at Heidelberg, Tübingen, Bonn and Leipsic. of the West"; He devoted himself to the study of his- "; "The Dartmoor House that tory and became Professor of History at "; "Moyle Church Town." at Heidelberg in 1867-1874. In the latter year he accepted the similar chair at the tals. low University of Berlin. He was the author sandstone; 69 of "Ten Years of German Struggles"; 111 S. S. W. of Cologne. The river is crossed here by an eight-arch bridge, 623 feet long , in the Nineteenth Century," which was c. "A quiet, old-fashioned town, Treves," ished. He died in Berlin, April 28, 1896. of Roman remains far more numerous and varied, English clergyman; from Westminster
TRELAWNY, SIR JONATHAN, an striking, than any other place north of the Alps can and became bishop in turn of Bristol passed in 1663 to Christ Church, Oxford, the "Porta Ni- (1685), Exeter (1688), and Winchester probably of the five gates by which Trèves was entered in Constantine's time; the so-called Roman baths (more probably part of an imperial palace ); and a basilica built of Roman brick by Constantine for a court of justice, but demolished in great measure to make room for an electoral palace in 1614.
This , however, was removed, and the basilica fitted up for a Protestant church in 1856 .
Beyond the walls are the ruins of an amphitheater that could seat 30,000 spec- TRELAWNY, EDWARD JOHN, an the "Igelsäule" English author; born in London, Novemcolumn , 71 feet high, sculptured with bas-reliefs of the 2d century. The cathedral of SS.
Peter and Helena is an interesting structure of various antiquity, but chiefly in the early German Romanesque style of the 11th century. The most famous of its relics is the seamless or "Holy Coat," TREVES AAD which consists of "connected fragmentary particles of material ." Said to have a Younger Son" (1830) but his best- Empress known work is "Recollections of the Last to in 1106 Days of Shelley and Byron" (1858), rewas not a source of revenue till 1512. It was visited by nearly 2,000,000 pilgrims in 1891, the first time of exhibition since 1844.
A "Holy Coat" is also shown at Arserved in Millais's painting "The Northin 19 other places. Connected with the cathedral by a cloister Sussex, Aug. 13, 1881. (1243); and there is a library of over 100,000 volumes and many MSS., among them the "Codex Aureus" of the Gospels, presentture, sometimes, though rarely, with a species of which are of a gelatinous tex- Charle- A university, magne's sister, Ada . founded in 1472, was suppressed in 1798.
The industries comprise manufactures of woolens, cottons, and linens, besides a wo brisk trade in corn, timber, and Moselle wine. Pop. about 47,000.
Trèves, which claims to be 1,300 years older than Rome, derives its name from the dead wood, rarely on the ground. probably, a Belgic people, who in Cæsar's time inhabited a large district between the Meuse and the Rhine . Their capital, Augusta Trevirorum, seems to have become a Roman colony in the reign of Augustus, and ultimately was the headquarters of the Roman commanders on the Rhine, and a frequent residence of the emperors, especially Constantine.
TREMOCTOPUS, in zoölogy, a subpassed to the Franks in 463, to Lorraine in 843, to Germany in 870, and back to Lorraine in 895, and was finally united to Germany by the Emperor Henry I. The Archbishop of aquiferous pores on the back of the head.
Burgundy, one of the electors of the empire, a right which originated in the 12th or 13th cen , tury, and which continued till the French Revolution. The last elector removed to through a valve having a movable top, was the capital of the French department of Sarre from 1794 till 1814, since which time it has belonged to Prussia . fects the sound produced. On Ameriish surgeon, born in Dorchester, in 1853 .
He was educated at the Merchant Taylors' School and became Hunterian professor of anatomy and Wilson professor of pathology at the Royal College of Surgeons in 1881-1886 and examiner in surgery at Cambridge in 1891-1896 . He was lord rector of Aberdeen University from 1905 to 1908. He acted as consulting surgeon in the South African War, was surgeon-extraordinary to Queen Victoria, and in 1902 operated on Edward entered the Church, and became curate "System of Surgery," and has published other works on medicine, war experience , and travel.
TRENCH 1844), rector of Itchenstoke (1844-1845), was Hulsean lecturer 1845-1846, Professor of Theology at King's College, London (1846-1858), dean of Westminster (1856-1863), and was finally consecrated archbishop of Dublin, Jan. 1, 1864. He was the author of a collection of poems, and a popular writer on philological and theological subjects. His works include: "Notes on the Parables" (1841); "Notes on the Miracles" (1846); "On the Study of Words" (1851); "Proverbs and Their Lessons" (1853); "Synonyms of the New Testament" (1854) "English, Past and Present" (1855); "On Plutarch" (1874); "Lectures on Mediæval Church History" (1878); and many others. He died March 28, 1886.