Mathematical and physical papers, Τόμος 5

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Σελίδα xxiv - Who art thou that judgest another man's servant? to his own master he standeth or falleth ; yea, he shall be holden up: for God is able to make him stand.
Σελίδα xi - That the difference between the pressure on a plane in a given direction passing through any point p of a fluid in motion and the pressure which would exist in all directions about p if the fluid in its neighborhood were in a state of relative equilibrium depends only on the relative motion of the fluid immediately about p; and that the relative motion due to any motion of rotation may be eliminated without affecting the differences of the pressures above mentioned.
Σελίδα xx - ... elaborate experimental work, which it is often a labour to prepare for publication. In 1857 he married Miss Robinson, daughter of Dr Romney Robinson, FRS, astronomer of Armagh. Their first residence was in rooms over a nursery gardener's in the Trumpington Road, where they received visits from Whewell and Sedgwick. Afterwards they took Lensfield Cottage, where they resided until her death in 1899. Though of an unusually quiet and silent disposition, he did not like being alone. He was often to...
Σελίδα 311 - It will be convenient to commence with the demonstration of a few known theorems relating to attractions, the law of attraction being that of the inverse square of the distance.* Preliminary Propositions respecting Attraction*. PROP. i. To express the components of the attraction of any mass in three rectangular directions by means of a single function. Let m...
Σελίδα 94 - When the air is at rest and the cups are whirled round, some little difference may be made by the wake of each cup affecting the one that follows. Still we cannot be very far wrong by supposing the same proportion, 4 to 1, to hold good in this case.
Σελίδα 30 - In the mica radiometer the experiments indicate no such difference of action in the different layers of the bulb as in the case of the pith radiometer. Hence taking, in accordance with what now appears to be made out to be the theory of the motion of the radiometer, the direction in which the fly is impelled as an indication which is the warmer of the two faces of the disks, and that again as an indication...
Σελίδα 28 - ... by combining what we know of the behaviour of bodies in respect to radiations in general (especially luminous radiations, which are the most easily studied) with what we observe as to the motions of radiometers, we may arrive at some probable conclusions. 17. We may evidently conceive a series of ethereal vibrations of any periodic time, however great, to be incident on a homogeneous medium such as glass, and inquire in what manner the rate of absorption would change with the period ; though...
Σελίδα 92 - ... lowest factors to give a correct result. 3. That with the large Kew pattern, which is the one adopted by the Meteorological Office, the register gives about 120 per cent, of the truth, requiring a factor of about 2'5, instead of 3. Even 2'5 is probably a little too high, as friction would be introduced by the centrifugal force, beyond what occurs in the normal use of the instrument. 4. That the factor is probably higher for moderate than for high velocities ; but whether this is solely due to...
Σελίδα 215 - APPENDIX. (Received November 15th, 1886.) In the previous experiments the main loss of energy arising from the friction of the air may be characterised as being due to the fact that the air is pushed. A small portion, however, of the loss is occasioned by the rotation of the cylinders or spheres about their own axes, and in this case the air may be said to be dragged. Professor GG STOKES has, in the preceding note, deduced formulae by means of which this last portion of the whole loss of energy can...
Σελίδα 34 - This morning I received from Mr Crookes an account of the behaviour of a kind of radiometer which he was so good as to construct at my suggestion. The consideration of an experiment mentioned in a paper of his presented to the Royal Society, which will shortly be read, and which he has kindly permitted me to refer to, suggested to me the desirability of investigating the effect of mere roughness of surface, all other circumstances being alike, and the disk of the radiometer being metallic, so that...

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