Transactions of the Cambridge Philosophical SocietyUniversity Press, 1838 |
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Common terms and phrases
a₁ æther Anemometer angles anticlinal appears approximation assume axes axis co-ordinates coefficients Comet consequently considered cos² Count Münster Crown Glass density determined direction distance elevation elevatory force equal equation expression extrados finite fissure Flint Glass fluid foliis formula function goniatites Hence horizontal hypothesis integral intersection lamina line of resistance Maderæ mass Maxillæ medium mineral veins motion nearly observed obtain parallel particles perpendicular phenomena pinnules plane portion position pressure produced propagated quantity rays refractive represented respectively shew shewn sin² siphuncle solution Star suppose surface tension theory tion toadstone transmission transverse triangle values velocity vertical vibration wave wave-surface y₁ Λ Λ доб
Popular passages
Page 351 - ... 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
Page 9 - 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...
Page 114 - 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.
Page 55 - ... 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.
Page 149 - ... phenomenon. The first is, that the " breadth of the first series so far exceeded that of any of the " rest, that, as near as I could judge, it was equal to them all " taken together. The second is, that I have never observed " these inner orders of colours in the lower parts of the rainbow, " though they have often been incomparably more vivid than " the upper parts, under which the colours have appeared. I " have taken notice of this so very often, that I can hardly look " upon it to be accidental;...
Page 73 - 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...
Page 474 - ... extreme voussoir, and X and Y the horizontal and vertical components of any pressure borne upon its extrados, or of the resultant of any number of such pressures ; let moreover the coordinates, from the centre C, of the point of application of this pressure, or this resultant pressure, be x and y. Let the horizontal force P be applied in AD at a vertical distance p from C ; also let CT represent any plane which, passing through C, intersects the arch in a direction parallel to the joints of its...
Page 9 - ... consequently of tension. The increase of intensity in the elevatory force might be so rapid as to give it the character of an impulsive force, in which case it would be impossible to calculate the dislocating effects of it.
Page 126 - Given the sum or difference of two angles, and the ratio of their sines, to find the angles. This...