It is evident that, in such case, the string, while vibrating as a whole between its fixed extremities, is at the same time executing subsidiary oscillations about its middle point, its points B FIG.
When a stranger claimed his hospitality, Procrustes compelled him, if he was tall, to lie down on the short bed, and then cut off his extremities to make him fit.
In severe cases the pulse may become imperceptible, the extremities may become cold, and the patient may pass into coma.
, but also a sufficient number of the ordinates obtained by continuing the series outside the trapezette, at both extremities, we can use central-difference formulae, which are by far the most convenient.
The most simple case is that in which the trapezette tapers out in such a way that the curve forming its top has very close contact, at its extremities, with the base; in other words, the differential coefficients u', u", u"',.
"Great" circles may also be defined as circles on a sphere which pass through the extremities of a diameter; they are familiar as the meridians or lines of longitude of geographers; lines of latitude are "small circles."
Communication is thus most wanted with the northern and south-eastern extremities of the island, and between Tortoli and Nuoro, and Nuoro and Golfo degli Aranci.
A diameter is a line through the centre and terminated by the curve: it bisects all chords parallel to the tangents at its extremities; the diameter parallel to these chords is its conjugate diameter.
Hind extremities proportionally longer with inner toe represented only by a small metatarsal bone.
During the interval between these peaces, Matthias, in self-defence, again made war on the emperor, reducing Frederick to such extremities that he was glad to accept peace on any terms. By the final arrangement made between the contending princes, Matthias recognized Ladislaus as king of Bohemia proper in return for the surrender of Moravia, Silesia and Upper and Lower Lusatia, hitherto component parts of the Czech monarchy, till he should have redeemed them for 400,000 florins.
Though the Alps form throughout the northern boundary of Italy, the exact limits at the extremities of the Alpine chain are not clearly marked.
Thus the Lombards neither occupied the extremities nor subjugated the brain-centre of the country.
The planula has its two extremities dissimilar (Bipolaria-larva).
A, Starch sheath; at the extremities of the figure its cells are represented as empty; b, cambiuin layer.
Others are devoted to the work of carrying it to the protoplasts situated in the interior and at the extremities of the plant, a conducting system of considerable complexity being the result.
His argument as to the narrowness of the sea between West Africa and East Asia, from the occurrence of elephants at both extremities, is difficult to understand, although it shows that he looked on the distribution of animals as a problem of geography.
Although the northern and southern extremities of Goyaz lie within two great river systems - the Tocantins and Parana - the upper courses of which are navigable, both of them are obstructed by falls.
Extremities reach 38° 50' in Armenia, 35° on the Afghan frontier, and 42° 30' on the coasts of the Pacific. To the W.
In height when full-grown, with spreading branches drooping at their extremities; it has been much planted in Portugal, especially in the neighbourhood of Cintra.
Having made the grand tour he returned to Ireland; and being employed by the parliament in a mission to the duke of Ormonde, now reduced to the last extremities, he succeeded in concluding a treaty with him on the 19th of June 1647, thus securing the country from complete subjection to the rebels.
Tremors of the muscles more or less violent accompany the cold sensations, beginning with the muscles of the lower jaw (chattering of the teeth), and extending to the extremities and trunk.
The feeling of heat is at first an internal one, but it spreads outwards to the surface and to the extremities; the skin becomes warm and red, but remains dry; the pulse becomes softer and more full, but still quick; and the throbbings occur in exposed arteries, such as the temporal.
The upper town still retains in part its fortifications, including the two great towers at the two extremities, called the Torre dell' Elefante (S.) and the Torre di S.
Movement flexure is also produced by the coiling of the visceral sac and shell; primitively the latter was bowl-shaped; but the ventral flexure, which brings together the two extremities of the digestive tube, gives the visceral sac the outline of a more or less acute cone.
Eyes at free extremities of tentacles.
Shell bulimoid, dextral or sinistral; radular teeth, expanded at their extremities and multicuspidate.
The vomer is broad, abruptly truncated in front, and deeply cleft behind, so as to embrace the rostrum of the sphenoid; the palatals have produced postero-external angles; the maxillo-palatals are slender at their origin, and extend obliquely inwards and forwards over the palatals, ending beneath the vomer in expanded extremities, not united either with one another or with the vomer, nor does the latter unite with the nasal septum, though that is frequently ossified.
The former is white, but the whole of the extremities - viz.
The lower cheekteeth have, unlike those of the Tapiroidea, crescentic ridges, which have not the loops at their extremities characteristic of the advanced Hippoidea; the last lower molar has no third lobe.
The characteristic, but by no means attractive, street dress of the Moslem women of the better class comprises a black horse-hair visor completely covering the face and projecting like an enormous beak, the nether extremities being encased in yellow boots reaching to the knee and fully displayed by the method of draping the garments in front.
2 The great plateau of North America, also turning its narrower point towards Bering Strait, naturally suggests the idea that there was a period in the history of our planet when the continents turned their narrow extremities towards the northern pole, as now they turn them towards the southern.
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.
In the case, therefore, of any solid whose cross-section at distance x from one end is a quadratic function of x, the position of the crosssection through the centroid is to be found by determining the position of the centre of gravity of particles of masses proportional to So, S2, and 4S 1, placed at the extremities and the middle of a line drawn from one end of the solid to the other.
LirR 2, placed at the extremities and the middle of its axis; i.e.
U m _ 4, we can form a series of trapezia by drawing the tangents at the extremities of these ordinates; the sum of the areas of these trapezia will be h(u 4 .+u 2 +...
4) cut the boundary of the figure again in B', G', C', D' and F', and meet the base X'X in K, L, M, N and P; the points A and E being at the extremities of the figure, and the lines through them meeting the base in a and e.
These artificial lakes are usually formed by throwing embankments across the lower extremities of valleys, and thus arresting and accumulating the waters flowing through them.
Sir John Herschel took as the northern boundary of the southern ocean the greatest circle which could touch the southernmost extremities of the three southern continents.
The diameter of a quadric surface is a line at the extremities of which the tangent planes are parallel.
He proposed the problem of the catenary or curve formed by a chain suspended by its two extremities, accepted Leibnitz's construction of the curve and solved more complicated problems relating to it.
High occupy both extremities of the peninsula, the picturesque city, with its flat-roofed houses painted blue, green and red, lying in the undulating ground between.
The town is finely situated on and between the slopes of the two extremities of the promontory of Monte Conero, Monte Astagno to the S., occupied by the citadel, and Monte Guasco to the N., on which the cathedral stands (300 ft.).