Scientific Papers, Volume 1

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University Press, 1898 - 498 pages
 

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Page 262 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 451 - so well defined, that I could distinguish, by a telescope, every sail, the general rig of the ship, and its particular character, insomuch that I confidently pronounced it to be my father's ship, the Fame, — which it afterwards proved to be, — though, OPTICS.
Page 401 - The symbols he hath formed shall sound his praise, And lead him on through unimagined ways To conquests new, in worlds not yet created First, ye Determinants ! in ordered row And massive column ranged, before him go, To form a phalanx for his safe protection. Ye powers of the nth roots of — 1 ! Around his head in ceaseless * cycles run, As unembodied spirits of direction.
Page 265 - If the action of an agent be measured by the product of its force into its velocity; and if, similarly, the reaction of the resistance be measured by the velocities of its several parts into their several forces, whether these arise from friction, cohesion, weight, or acceleration — action and reaction in all combinations of machines will be equal and opposite.
Page 262 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 493 - ... of a second that tube was exposed to a pressure of four or five tons weight per square inch on its outer surface, and no pressure on the inner. The impulsive pressure on the bottom of the tube projected it upwards so that it stuck in the tallow which fills the hollow of the steel plug.
Page 167 - Quaternions have one grand and fatal defect They cannot be applied to space of n dimensions, they are contented to deal with those poor three dimensions in which mere mortals are doomed to dwell, but which cannot bound the limitless aspirations of a Cayley or a Sylvester. From the physical point of view this instead of a defect, is to be regarded as the greatest possible recommendation. It shows, in fact, Quaternions to be a special instrument so constructed for application to the Actual as to have...
Page 397 - ... paying" work than did Clerk Maxwell. But by sheer strength of intellect, though with the very minimum of knowledge how to use it to advantage under the conditions of the Examination, he obtained the position of Second Wrangler, and was bracketed equal with the Senior Wrangler in the higher ordeal of the Smith's Prizes. His name appears in the . Cambridge Calendar as Maxwell of Trinity, but he was originally entered at Peterhouse, and kept his first term there, in that small but most ancient foundation...
Page 173 - I have endeavoured to infer, those of chemistry and molecular attractions, or as the laws of chemical affinity in their turn transcend those of mere mechanics. Science can be expected to do but little to aid us here, since the instrument of research is itself the object of investigation. It can but enlighten us as to the depths of our ignorance, and lead us to look to a higher aid for that which most nearly concerns our well-being.
Page 226 - As thin hope may possibly not be realised, I can as yet make only rough approximations to an estimation of the temperatures of these neutral points. • So far as I am aware, the phenomenon discovered by Gumming and analysed by Thomson has hitherto been described thus : When the temperature of the cold junction is below the neutral point, the gradual raising of the temperature of the other produces a current which increases in intensity till the neutral point is reached, thenceforth diminishes; vanishes...

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