## Transactions of the Cambridge Philosophical Society |

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الصفحة 8

The valley of the Wye, in Derbyshire, offers a beautiful example of this kind of

formation. t Trap veins sometimes

M'Culloch's Description of the Western Islands of Scotland. Vol. III. Pl. xxxiii.

The valley of the Wye, in Derbyshire, offers a beautiful example of this kind of

formation. t Trap veins sometimes

**assume**the tortuous form of a granite vein. SeeM'Culloch's Description of the Western Islands of Scotland. Vol. III. Pl. xxxiii.

الصفحة 10

I

at any assignable depth, either with uniform intensity at every point, or in some

cases with a somewhat greater intensity at particular points; as for instance, ...

I

**assume**this force to act under portions of the earth's crust of considerable extentat any assignable depth, either with uniform intensity at every point, or in some

cases with a somewhat greater intensity at particular points; as for instance, ...

الصفحة 13

Also

that point would produce, if it acted uniformly on a line of which the length should

be unity, and which should be perpendicular to CD, the common direction of the ...

Also

**assume**F to be the tension at P, estimated by the force which the tension atthat point would produce, if it acted uniformly on a line of which the length should

be unity, and which should be perpendicular to CD, the common direction of the ...

الصفحة 24

... the general systems of tensions to which the lamina is subjected, as just

explained. Such also will be the case at the point at which the line of less

resistance, should it be a curved or broken line, may

the condition ...

... the general systems of tensions to which the lamina is subjected, as just

explained. Such also will be the case at the point at which the line of less

resistance, should it be a curved or broken line, may

**assume**a direction in whichthe condition ...

الصفحة 28

After the formation of the fissure, it will evidently

resembling that of APB ; but its curvature will be less than that of the latter line,

since the curvature of all such lines must obviously be smaller the nearer they are

situated to ...

After the formation of the fissure, it will evidently

**assume**a curved formresembling that of APB ; but its curvature will be less than that of the latter line,

since the curvature of all such lines must obviously be smaller the nearer they are

situated to ...

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Anemometer angles anticlinal appears applied approximation assume axes axis caustic co-ordinates coefficients cohesive power Comet consequently considered corresponding cosº Count Münster Crown Glass density determined differential direction distance effect elevation elevatory force equal equation expression extrados finite fissure Flint Glass fluid foliis formation formula function give given goniatites Hence horizontal hypothesis injection integral intensity intersections investigation lamina light line of resistance Maderae mass Maxillae medium motion nearly observed obtain parallel particles perpendicular phenomena Pinna pinnules plane portion position pressure produced propagated quantity ratio rays refractive refractive index represented respectively right ascension shew shewn sinº siphuncle solution Star suppose surface tension Theorem theory tion toadstone transverse triangle values veins vertical vibration voussoirs wave wave-surface

### مقاطع مشهورة

الصفحة 353 - ... a consequence of the rule that the difference of the squares of the velocities of the ordinary and extraordinary rays within the crystal, is proportional to the product of the sines of the angles which the latter makes with the resultant axes. M. Biot was led to the discovery of this beautiful law by analogyf, and he afterwards observed that it was implicitly contained in the law proposed by Sir David Brewster. The term

الصفحة 11 - I assume this force to act under portions of the earth's crust of considerable extent at any assignable depth, either with uniform intensity at every point, or in some cases, with a somewhat greater intensity at particular points, as, for instance, at points along the line of maximum elevation of an elevated range, or at other points where the actual phenomena seem to indicate a more than ordinary energy of this subterranean action. I suppose this elevatory force, whatever may be its origin, to act...

الصفحة 1 - Notwithstanding' the appearances of irregularity and confusion in the formation of the crust of our globe, which are presented to the eye in the contemplation of its external features, Geologists have been able in numerous instances to detect, in the arrangement and position of its stratified masses, distinct approximations to geometrical laws.

الصفحة 116 - Their evident analogy to the property of a triangle " that the sines of the angles are proportional to the opposite sides", has suggested another form under which they may be put.

الصفحة 57 - ... to the causes to which we have been assigning such phenomena, could not be produced by successive elevations of different points, by the partial action of an elevatory force.

الصفحة 404 - Very often too, when sound is reflected, these suppositions will lead to sensibly correct results. On this last account, the problem has here been considered generally for all fluids whether elastic or non-elastic in the usual acceptation of these terms; more especially, as thus its solution is not rendered more complicated. One result of our analysis is so simple that I may perhaps be allowed to mention it here. It is this : If A be the ratio of the density of the reflecting medium to the density...

الصفحة 75 - Holme, there is a bed extending for a great wayi surmounted by a parallel series of the secondary strata in contact with it ; but, on a narrow inspection, innumerable veins are seen branching into the strata in every possible direction, illustrating in a very perfect manner the origin of at least one order of veins. In a second case, three beds of trap can be traced in a parallel direction for a considerable space, separated by the regular strata, when suddenly the whole unite into one mass. Had...

الصفحة 465 - ... that joint : if it lie within the cone spoken of, the structure will not slip upon that joint ; if it lie without it, it will. Thus the whole theory of the equilibrium of any structure is involved in the determination with respect to that structure of these two lines — the line of resistance, and the line of pressure. One of these lines, the line of resistance, determining the point of application of the resultant of the pressures upon each of the surfaces of contact of the system ; and the...

الصفحة 128 - Given the sum or difference of two angles, and the ratio of their sines, to find the angles, This...