It is easily seen that, in the process of determining the masscentre, any group of particles may be replaced by a single particle whose mass isequal to that of the group, situate at the mass-centre of the group.
In historic times it was situate on the lower slopes of the hills, Coressus and Prion, which rise out of a fertile plain near the mouth of the river Cayster, while the temple and precinct of Artemis or Diana, to the fame of which the town owed much of its celebrity, were in the plain itself, E.N.E.
He calls Aga Mahommed chief of Mazandaran, as also of Astarabad and some districts situate in Khurasan, and describes his tribe the Kajar, to be, like the Indian Rajput, usually devoted to the profession of arms. Whatever hold his father may have had on Gilan, it is certain that this province was not then in the sons possession, for his brother, Jiafir Kuli, governor of Baifrush (Balfroosh), had made a recent incursion into it and driven Hidaiyat Khan, its ruler, from Resht to Enzeli, and Aga Mahommed was himself meditating another attack on the same quarter.
A circlet of radially situate infrabasals (IBB) may also be present.
In the application to mechanics these coefficients are the masses of particles situate at the respective points, and are therefore all positive.
Many of them lived in the various vihdras or residences situate throughout the island; but the main centre of intellectual effort, down to the 8th century, was the Maha Vihara, the Great Minster, at Anwradhapura.
Again, if G be the mass-centre of four particles a, $, 7, situate at the vertices of a tetrahedron ABCD, we find a: ~ :~: tet GBCD: tetUGCDA: tetGDAB: tetGABC, and by suitable determination of the ratios on the left hand we can make G assume any assigned position in space.
The Sakiya clan was then seated in a tract of country probably two or three thousand square miles in extent, the chief town of which was Kapilavastu, situate about 27° 37' N.
To a given point (x', y', z') not on the curve u' =0 there corresponds, not a single point, but the system of points (x, y, z) given by the equations x': y': z' = X: Y: Z, viz., regarding x', y', z' as constants (and to fix the ideas, assuming that the curves X = o, Y =0, Z =o, have no common intersections), these are the points of intersection of the curves X: Y: Z, =x': y' : z', but no one of these points is situate on the curve u = o.
If, however, the point (x', y', z') is situate on the curve u'=o, then one point of the system of points in question is situate on the curve u = o, that is, to a given point of the curve u' = o there corresponds a single point of the curve u =o; and hence also this point must be given by a system of equations such as x: y : z =X': Y': Z'.
The grove is situate about 3 m.
It may readily be observed that in the hair-like branches of Ectocarpaceae, the point at which most rapid division occurs is situate near the base of the hair.
Be situate at the vertices of a triangle ABC, the mass-centre of ~ and y is at a point A in BC, such that ~.
He first explored the Odeum and the Great Theatre situate in the city itself, and in the latter place had the good fortune to find an inscription which indicated to him in what direction to search for the Artemision; for it stated that processions came to the city from the temple by the Magnesian gate and returned by the Coressian.
There is in both alike a ruling part, though this is situate in the human heart at the centre - not in the brain, as the analogy of the celestial ether would suggest.
Cromwell in his charter of 1655 recognized Swansea as "an ancient port town and populous, situate on the sea coast towards France convenient for shipping and resisting foreign invasions."
The municipal hospitals are six in number, the largest of which is the Virchow hospital, situate in Moabit and opened in 1906.
Where a borough has not a separate court of quarter sessions, but has a separate commission of the peace, the justices of the county in which the borough is situate have a concurrent jurisJuris d - diction with the borough justices in all matters arising ti o n o within the borough.
The line between mouth and anus, along which these openings are situate, corresponds with the plane of union between the two horns of the curved left posterior coelom, the united walls of which form the "dorsal mesentery."
Many beetles make a hissing or chirping sound by rubbing a "scraper," formed by a sharp edge or prominence on some part of their exoskeleton, over a "file" formed by a number of fine ridges situate on an adjacent region.
Quite independent of these are certain large dorsally situate funnel-like folds of the coelomic epithelium, ciliated, but of which no duct has been discovered leading to the exterior.
In some embryos there is but a single pair of these rudiments (or vestiges) situate on the first abdominal segment, and in some cases they become invaginations of a glandular nature.
The central offices and reference library of the Society of Friends are situate at Devonshire House, Bishopsgate Without, London.
The genital pores are situate at the base of the 7th pair of limbs, and may be repeated From Parker and Haswell's Text-book after Hoek.
The town also possesses a town hall situate on the market square and dating from 1737, a fine block of law-court buildings, several high-grade schools and a theatre.
Where it belongs to a Roman Catholic the right is exercised in his behalf by the university of Oxford if the benefice be situate south of the river Trent, and by that of Cambridge if it be north of that river.
The passenger ports of Germany affording oversea communications to distant lands are mainly those of Bremen (Bremerhaven) and Hamburg (Cuxhaven) both of which are situate on the North Sea.
In Fucaceae an apical cell is situate at the surface of the thallus in a slit-like depression at the apex.
And, assuming the above theory of geometrical imaginaries, a curve such that m of its points are situate in an arbitrary line is said to be of the order m; a curve such that n of its tangents pass through an arbitrary point is said to be of the class n; as already appearing, this notion of the order and class of a curve is, however, due to Gergonne.