# Bounding Sentence Examples

- As she walked across the field, a deer came
**bounding**out of the forest on the hill. - The data are then either the
**bounding**ordinates uo, ui, ... - The temperature is quite mild and equable in the south-east province where the ocean influences it and where the mountains
**bounding**it on the north and north-west are some protection from the colder winds. - In like manner the density, p, is sensibly equal to the constant quantity po, which is its value in the interior of the liquid, except within a distance e of the
**bounding**surface. - "Gabriel!" he exclaimed,
**bounding**to his cell door. - The sides of the trapezette are the "
**bounding**ordinates "; their abscissae being xo and xo+H, where H is the breadth of the trapezette. - The area of the trapezette, measured from the lower
**bounding**ordinate up to the ordinate corresponding to any value of x, is some function of x. - This means that, if the minor trapezette consists of k strips, v will be of degree k or k - I in x, according as the data are the
**bounding**ordinates or the mid-ordinates. - The Euler-Maclaurin formula (§ 75) assumes that the
**bounding**values of u', u"',.. - - The wall
**bounding**the Altis on the west belongs probably to the time of Nero. - Straths are broad expanses of low ground between
**bounding**hills and are usually traversed by one main stream and its tributaries - e.g. - The explanation of the apparent
**bounding**of Christianity by Europe and its offspring is not, however, to be found in any psychological peculiarity separating the European races from those of other continents, nor in any special characteristic of Christianity which fits it for European soil. - If x denotes the potential energy of unit of mass of the substance, we may treat x as sensibly constant except within a distance e of the
**bounding**surface of the fluid. - (a) The nature of the
**bounding**curve or surface may not be exactly known, so that certain assumptions have to be made, a formula being then used which is adapted to these assumptions. - In cases other than those described in § 82, the pth moment with regard to the axis of u is given by Pp = XPrA where A is the total area of the original trapezette, and S 2 _ 1 is the area of a trapezette whose ordinates at successive distances h, beginning and ending with the
**bounding**ordinates, are o, x1P -1A, x2 P-1 (AI+AI),. - Fourier defined another constant expressing the rate of loss of heat at a
**bounding**surface per degree of difference of temperature between the surface of the body and its surroundings. - Lepidus outside which again is a wall,
**bounding**the sacred enclosure. - It is found by experiment that it is only very close to the
**bounding**surface of a liquid that the forces arising from the mutual action of its parts have any resultant effect on one of its particles. - It is impossible to make direct measurements of the properties of particles of the substance within the insensible distance e of the
**bounding**surface. - A vortex filament must close on itself, or end on a
**bounding**surface, as seen when the tip of a spoon is drawn through the surface of water. - Either or both of the
**bounding**ordinates may be zero; the top, in that case, meets the base at that extremity. - (b) - 49(a), where 4)(x) is any function of x, by [c P(x)]; the area of the trapezette whose
**bounding**ordinates are uo and u m may then be denoted by [Ax. - There are two classes of cases, according as m is even or odd; it will be convenient to consider them first for those cases in which the data are the
**bounding**ordinates of the strips. - - This tribe is distinguished from the Malacoderma and allied groups by the mesothoracic epimera not
**bounding**the coxal cavities of the intermediate legs. - In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their
**bounding**lines. - But turbulence in the motion will vitiate the principle that a
**bounding**surface will always consist of the same fluid particles, as we see on the surface of turbulent water. - (i) Suppose that the
**bounding**ordinates are given, and that m is a multiple of 2. - If the area of the cross-section, in every position, is known in terms of its distance from one of the
**bounding**planes, or from a fixed plane A parallel to them, the volume of the solid can be expressed in terms of the area of a trapezette. - The top is then a parabola whose axis is at right angles to the base; and the area can therefore (§ 34) be expressed in terms of the two
**bounding**ordinates and the midordinate. - Further than this, the part of the mantle-skirt
**bounding**the two holes is frequently drawn out so as to form a pair of tubes which project from the shell (figs. - The Muilrea and Ben Gorm range,
**bounding**the fine fjord of Killary Harbour, is formed of terraced Silurian rocks, from Bala to Ludlow age. - (5) In this expression M and are both constant, so that the variation of the right-hand side of the equation is the same as that of the energy E, and expresses that part of the energy which depends on the area of the
**bounding**surface of the liquid. - The soft shales or clays of the hills
**bounding**the valley render these hills especially subject to the action of denudation, and the result, in rounded slopes and easily accessible crests, determines the nature of the easy tracks and passes which intersect them. - The symbol x expresses the energy of unit of mass of the liquid at a depth v within the
**bounding**surface. - If F (x, y, z, t) =o represents the equation of a always the same particles of fluid, DF =o, or dF {-u dx-rzd { w d d = o, Trt y _ which is called the differential equation of the
**bounding**surface. - The conception of an encompassing ocean
**bounding**the habitable world is found in the creation myths of the most ancient civilizations. - Monte Matto, hence the modern name Trello Vouni), a mountain in Attica,
**bounding**the Athenian plain on the S.E. - A
**bounding**surface is such that there is no flow of fluid across it, as expressed by equation (6). - 2 Consider then an ellipsoidal shell the axes of whose
**bounding**surfaces are (a, b, c) and (a+da), (b+db), (c+dc), where da/a =db b =dc/c =,u. - The application of Simpson's rule, for instance, to a plane figure implies certain assumptions as to the nature of the
**bounding**curve. - The Lancashire coal-field, and the portion of the
**bounding**plain between it and the seaport of Liverpool, contain a population greater than that borne by any equal area in the country, the county of London and its surroundings not excepted. - The sites of seven posts established against Rome may be traced along the hills
**bounding**Flintshire and Denbighshire. - The pair was interrupted from further speculation by the sound of Martha's laughter and footsteps
**bounding**down the stairs. - The spot where the path
**bounding**his arable met that of another holding; and thence found his way into the house. - Hence, for the case of a parabola, we can express the area in terms of the
**bounding**ordinates of two strips, but, if we use mid-ordinates, we require three strips; so that, in each case, three ordinates are required. - The first of these extended from the Pyrenees to the Garumna (Garonne); the second, from that river to the Sequana (Seine) and its chief tributary the Matrona (Marne), reaching eastward presumably as far as the Rhenus (Rhine); and the third, from this
**bounding**Iline to the mouth of the last-named river, thus bordering on the Germans. - The portion of Asia which lies between the Arctic Ocean and the mountainous belt
**bounding**Manchuria, Mongolia and Turkestan Siberia. - It follows that, by taking two ordinates in a certain position with regard to the
**bounding**ordinates, the area of any parabolic trapezette whose top passes through their extremities can be expressed in terms of these ordinates and of the breadth of the trapezette. - Is a flat disk, circular or elliptical in outline, had in the ideas time of Homer acquired a special definiteness by the introduction of the idea of the ocean river
**bounding**the whole, an application of imperfectly understood observations. - South and west the
**bounding**territories are well fixed in geographical position by the Indian survey determinations of the value of Himalayan peaks. - Suppose, for instance, that m=6, and that we consider the trapezette as a whole; the data being the
**bounding**ordinates. - The Dip of the horizon at sea is the angular depression of the apparent sea horizon, or circle
**bounding**the visible ocean, below the apparent celestial horizon as above defined. - If QD is the
**bounding**ordinate of one of the component strips, we can calculate the area of Qdbl in the ordinary way. - The alteration in the direction of the
**bounding**line, due to alteration in the unit of measurement of Y, is useful in relation to geometrical projection. - The heat absorbed is the difference of the quantities transmitted through the
**bounding**planes of the stratum.