Transactions of the Cambridge Philosophical SocietyUniversity Press, 1838 |
من داخل الكتاب
النتائج 1-5 من 29
الصفحة 20
... propagated in the manner we shall sup- pose it to be , and that consequently this force will have no material effect on the direction in which the fissure will be continued , and which will therefore be very approximately determined by ...
... propagated in the manner we shall sup- pose it to be , and that consequently this force will have no material effect on the direction in which the fissure will be continued , and which will therefore be very approximately determined by ...
الصفحة 21
... propagated ; and let П ,, П , denote the cohesive powers of the lamina at those points respectively , II , being the least . It has been already stated , ( Introd . p . 11. ) that in the case to which these investigations are to be ...
... propagated ; and let П ,, П , denote the cohesive powers of the lamina at those points respectively , II , being the least . It has been already stated , ( Introd . p . 11. ) that in the case to which these investigations are to be ...
الصفحة 22
... propagated through the proposed point * . 13. Under the circumstances here supposed , the fissure will be pro ... propagated in a straight line , if the values of in equation ( 2 ) remain the same , i . e . if the ratios of the tensions ...
... propagated through the proposed point * . 13. Under the circumstances here supposed , the fissure will be pro ... propagated in a straight line , if the values of in equation ( 2 ) remain the same , i . e . if the ratios of the tensions ...
الصفحة 23
... propagated to those points , its progress will be arrested till the tension R and that superimposed just beyond the extremities of the fissure , and before denoted by 4 , ( Art . 11 ) , produce a resultant tension greater than the ...
... propagated to those points , its progress will be arrested till the tension R and that superimposed just beyond the extremities of the fissure , and before denoted by 4 , ( Art . 11 ) , produce a resultant tension greater than the ...
الصفحة 26
... propagate the fissure in the direction in which it may originally be formed . Suppose AP to be its original direction , but that from P , it follows a line PP of less resistance ; then if we suppose the force 26 MR HOPKINS , ON ...
... propagate the fissure in the direction in which it may originally be formed . Suppose AP to be its original direction , but that from P , it follows a line PP of less resistance ; then if we suppose the force 26 MR HOPKINS , ON ...
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
a₁ æther Anemometer angles anticlinal appears approximation assume axes axis co-ordinates coefficients Comet consequently considered cos² Crown Glass density determined direction distance dx² 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 refractive index 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
مقاطع مشهورة
الصفحة 349 - ... 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 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...
الصفحة 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.
الصفحة 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.
الصفحة 400 - 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 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...
الصفحة 461 - ... 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 126 - Given the sum or difference of two angles, and the ratio of their sines, to find the angles, This...