Sonya struck the first chord of the prelude.
It struck a chord deep within her, as if she should know it.
The length of the chord of the arc across the valley is about 250 ft.
Music began to play, and with the first chord, Jackson recognized the accompaniment to Etta James' "At Last".
The chord blocks and post shoes are of cast-iron.
Oh, how that chord vibrated, and how moved was something that was finest in Rostov's soul!
The district is crossed by the main line and also by the chord line of the Great Indian Peninsula railway.
6) be any arc of a parabola; and suppose we require the area of the figure bounded by this arc and the chord AB.
Properties of the limagon may be deduced from its mechanical construction; thus the length of a focal chord is constant and the normals at the extremities of a focal chord intersect on a fixed circle.
2), is termed an " arc "; and the plane figure enclosed by a chord and arc, e.g.
Any line parallel to the axis is a diameter, and the parameter of any diameter is measured by the focal chord drawn FIG.
Kant he by no means ignored, and under Schiller's guidance he learned much from him; but of the younger thinkers, only Schelling, whose mystic nature-philosophy was a development of Spinoza's ideas, touched a sympathetic chord in his nature.
If we use c 1 to represent the chord of the whole arc, c 2 the chord of half the arc, and c 4 the chord of one quarter of the arc, then corresponding to (i) and (iii) of § 70 or § 79 we have a (8c 2 - c i) and4 5 (256c 4 - 40c2+ci) as approximations to the length of the arc. The first of these is Huygens's rule.
If, for the single toothed wheel, be substituted a set of four with a common axis, in which the teeth are in the ratios 4: 5: 6: 8, and if the card be rapidly passed along their edges, we shall hear distinctly produced the fundamental chord C, E, G, C 1 and shall thus satisfy ourselves that the intervals C, E; C, G and C, C 1 are, 2 and 2 respectively.
Thus may be obtained, either separately or in various combinations, the four notes whose vibrations are in the ratios of the above numbers, and which therefore form the fundamental chord (Cegc 1).
All sections of the 1 The surfaces formed by revolving a circle about any chord also received attention at the hands' of the Greeks.
Concentric circles have double contact at the circular points, the chord of contact being the line at infinity.
A system coaxal with the two given circles is readily constructed by describing circles through the common points on the radical axis and any third point; the minimum circle of the system is obviously that which has the common chord of intersection for diameter, the maximum is the radical axis - considered as a circle of infinite radius.
- Data: radius=a; 0= circular measure of angle subtended at centre by arc; c = chord of arc; c 2 = chord of semi-arc; c 4 = chord of quarter-arc.
II) whose centre is 0, AC its chord, and HK the tangent drawn at the middle point of the arc and bounded by OA, OC produced, then, according to Archimedes, AMC< HK, but > AC. In modern trigonometrical notation the propositions to be compared stand as follows: 2 tan 20 >2 sin 28 (Archimedes); tan 10+2 sin 3B>0> 3 sin B (Snell).
Also, to find the position of the centres of curvature relatively to the pitch-circle, we have, denoting the chord of the describing circle TI bye, c=2r sin 0; and therefore For the flank, p C=2r sine ~~_r} (29) For the face, pC2r sin 8 ~-~
While the stroke of A is ACa, extending to equal distances on either side of C, and equal to twice the chord of the arc Dd, the stroke of B is only equal to twice the sagitta; and thus A is guided through a comparatively long stroke by the sliding of B through a comparatively short stroke, and by rotatory motions at the joints C, D, B.
In addition to the cerebral eyespot there are large numbers of minute black pigmented bodies beside and below the central canal of theneuro chord, commencing from the level of the third myotome.
A chord line passes by the coalfield of Raniganj, which enables this great railway to be worked more economically than any other in India.
A constant restlessness oppressed him; his sight gave way; his conversation became an extraordinary mixture of metaphors; and it was only at intervals that gleams of his former power broke out, especially when some old chord of association was struck in natural science or physical geography.
42, 3) says "one would compare the sound most nearly to the broken chord of a harp or a lute" (Juvenal xv.
It is easy to see that the length of the chord (which passes in all cases through 0) increases to a maximum near the place where the phase-retardation is s of a period, then diminishes to a minimum when the retardation is about a of a period, and so on.
A branch of the Rajputana railway, from Achnera to Hathras, crosses the district; the chord line of the East India, from Agra to Delhi, traverses it from north to south; and a new line, connecting with the Great Indian Peninsula, was opened in 1905.
Draw the tangents at A and B, meeting at T; draw TV parallel to the axis of the parabola, meeting the arc in C and the chord in V; and M draw the tangent at C, meeting AT and BT in a and b.
Draw the tangents at A and B, meeting at T; and through T draw a line parallel to KA and LB, meeting the arc AB in C and the chord AB in V.
Of the internal stresses, which balance the external forces, shows that most of the material should be arranged in a top flange, boom or chord, subjected to compression, and a bottom flange Or chord, subjected to tension.
A main girder consists of an upper and lower flange, boom or chord and a vertical web.
The compression members are of timber, except the struts and bottom chord panels next the river piers, which are of steel.
In Italy a Bembo and a Sadoleto wrote a purer Latin than Erasmus, but contented themselves with pretty phrases, and were careful to touch no living chord of feeling.
Replacing then the angle i on the right-hand side of equations (54) - (56) by some mean value, t, we introduce Siacci's pseudovelocity u defined by (59) u = q sec, t, so that u is a quasi-component parallel to the mean direction of the tangent, say the direction of the chord of the arc.
He or his tragic fate may have touched a deeper chord, but it was carefully concealed; and although in later years Elizabeth seems to have cherished his memory, and certainly showed no love for his brother's children, at the time she only showed resentment at the indignities inflicted on herself.
The equations to the chord, tangent and normal are readily derived by the ordinary methods.
Further, Wundt declares that the psychical compound of sensations, with which, according to him, we actually start, is not a complex sensation, but a compound idea; so that I am expected to believe that, when I hear the chord of D, I am not conscious of single sensations of D, F, A, and have only a compound idea of the chord - as if the hearing of music were merely a series of ideas!
The line FL perpendicular to the axis, G D and passing through the focus, is the semilatus rectum, the latus rectum being the focal chord parallel to the directrix.
Plinlimmon (2468 ft.) is the highest of the hills, and forms a sort of hydrographic centre for the group, as from its eastern base the Severn and the Wye take their rise - the former describing a wide curve to east and south, the latter forming a chord to the arc in its southward course.
And the chord of the arc 515 ft.
Of the island, on a small bay looking E., the coast forming the chord of a semicircle of mountains which hem in the campagna of Palermo, called the Conca d'Oro.
He took the guitar a little above the fingerboard, arching his left elbow with a somewhat theatrical gesture, and, with a wink at Anisya Fedorovna, struck a single chord, pure and sonorous, and then quietly, smoothly, and confidently began playing in very slow time, not My Lady, but the well-known song: Came a maiden down the street.
In Great Britain the curvature is defined by stating the length of the radius, expressed in chains (i chain=66 ft.), in America by stating the angle subtended by a chord ioo ft.
The most important are: (I) To express the time of describing an elliptic arc under the Newtonian law of gravitation in terms of the focal distances of the initial and final points, and the length of the chord joining them.
The toga was a piece of woollen cloth in the form of a segment of a circle, 2 the chord of the arc being about three times the height of the wearer, and the height a little less than one-half of this length.
Hence the forces due to the two areas at opposite ends of the chord are equal and opposed.
The length of the arc of a circle, for instance, is known if the length of the chord and its distance from the middle point of the arc are known; but it may be more convenient in such a case to use a formula such as Huygens's rule than to obtain a more accurate result by means of trigonometrical tables.
Then it may be shown that DE is parallel to AB, and that the area of the figure between chord DE and arc DE is half the sum of the areas DHA and EJB.
It is usual in both girders and beams to provide not only for the safe support of the greatest possible distributed load, but for the greatest weight, such as that of a safe or other heavy piece of furniture which may be moved over the floor at its weakest points, the centres of the girders and beams. It must always be borne in mind that the formulae for the ultimate strength of the " I " beams only hold good when the upper chord or flange is supported laterally.
ABD, is termed a " segment "; if the chord be a diaD meter, the segment is termed a " semi D A circle."
Dimmler struck a chord and, turning to Natasha, Nicholas, and Sonya, remarked: "How quiet you young people are!"