Transactions of the Cambridge Philosophical Society

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الصفحة 200 - Prove that parallelograms on the same base and between the same parallels are equal in area.
الصفحة 2 - In whatever way the elements of any material system may act upon each other, if all the internal forces exerted be multiplied by the elements of their respective directions, the total sum for any assigned portion of the mass will always be the exact differential of some function.
الصفحة 149 - High Plains" of the state1. The surface of the county is a plain which slopes gently toward the east and whose surface is broken by two large valleys, one in the northern and the other in the southern part of the county. The valleys extend almost the entire length of the county.
الصفحة 90 - From the identity of this formula with that for the centre of gravity, it appears that the velocity of the great primary wave of translation of a fluid is that due to gravity acting through a height equal to the depth of the centre of gravity of the transverse section of the channel below the surface of the fluid. 7- The height of a wave may be indefinitely increased by propagation into a channel which becomes narrower in the form of a wedge, the increased height being nearly in the inverse ratio...
الصفحة 113 - SUPPLEMENT TO A MEMOIR ON THE REFLEXION AND REFRACTION OF LIGHT. IN a paper which the Society did me the honour to publish some time ago*, I endeavoured to determine the laws of Reflexion and Refraction of a plane wave at the surface of separation of two elastic media, supposing this surface perfectly plane, and both media to terminate there abruptly : neglecting also all extraneous forces, whether due to the action of the solid particles of transparent bodies on the elastic medium, which ia supposed...
الصفحة 1 - If, however, this were not the case, we are so perfectly ignorant of the mode of action of the elements of the luminiferous ether on each other, that it would seem a safer method to take some general physical principle as the basis of our reasoning, rather than assume certain modes of action...
الصفحة 321 - If the antecedence and consequence in question be understood as the interposition of an interval of time, however small, between the action of the cause and the production of the effect, we regard it as inadmissible. In the production of motion by force, for instance, though the effect be cumulative with continued exertion of the cause, yet each elementary or individual action is, to our apprehension, inslantef accompanied with its corresponding increment of momentum in the body moved.
الصفحة 202 - ... in any case or to any extent, as a measure of the quantity of matter. I may remark, that the same conclusion is easily extended to the case in which phlogiston is supposed to have absolute levity; for in that case, a certain mixture of phlogiston and of heavy matter would have no weight, and might be substituted for phlogiston in the preceding reasoning. I may remark, also, that the same conclusion would follow by the same reasoning, if any kind of matter, instead of being void of weight, were...
الصفحة 2 - of the advantages of this method, of great importance, is that we are " necessarily led by the mere process of the calculation, and with little care "on our part, to all the equations and conditions which are requisite and "sufficient for the complete solution of any problem to which it may be "applied.
الصفحة 351 - It is well known that the equation udx + vdy + wdz = 0, is the differential equation of a surface which cuts at right angles the directions of the motions of the particles through which it passes, if the left hand side of the equation be integrable per se.

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