## Proceedings of the Royal Society of EdinburghObituary notices are included in many of the volumes. |

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### Overige edities - Alles weergeven

Proceedings of the Royal Society of Edinburgh, Volume 8 Royal Society of Edinburgh Volledige weergave - 1875 |

Proceedings of the Royal Society of Edinburgh, Volume 6 Royal Society of Edinburgh Volledige weergave - 1869 |

### Veelvoorkomende woorden en zinsdelen

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### Populaire passages

Pagina 538 - Williamson's work on etherification was published in a paper read before the Chemical Section of the British Association at its meeting in Edinburgh in 1850 and printed in the Philosophical Magazine.

Pagina 541 - CCORDING to the results of recent researches in the constitution **• of salts and the methods thence introduced of explaining chemical reactions, it is equally correct to represent such a reaction as that of hydrochloric acid on hydrate of potash, as consisting in an exchange of hydrogen of the one for potassium of the other, or of chlorine in one for peroxide of hydrogen in the other. In Mr. Kay's researches as described in the following brief outline, this notion has obtained very striking illustration...

Pagina 409 - Immediately after the water is left free, the disturbance begins analysing itself into two groups of waves, seen travelling in contrary directions from the middle line of the diagram. The perceptible fronts of these two groups extend rightwards and leftwards from the end of the initial single static group, far beyond the "hypothetical fronts...

Pagina 540 - SO, replacing or (to use the customary expression) being equivalent to two atoms of hydrogen. Had this radical been divisible like an equivalent quantity of a monobasic acid, we should have obtained a mixture, not a compound of the chloride with the hydrate, — or, at least, the products of decomposition of that mixture.

Pagina 426 - In fig. 39, two sets of five curves show, for case <£ and case ^, the periodically varying water-surface on each side of the middle, at any long enough time after the beginning of the motion, to give a regular regime of sinusoidal vibration as far as two or three wave-lengths on each side of the middle. The third curve in each case is a curve of sines. The first curve represents the surface at the beginning of a period from ir to (t + 1) T.

Pagina 140 - The motion of a system not acted on by external forces satisfies six equations besides the equation of energy, so that the system cannot pass through those phases, which, though they satisfy the equation of energy, do not also satisfy these six equations. Again, there may be particular laws of force, as for instance that according to which the stress between two particles is proportional to the distance between them, for which the whole motion repeats itself after a finite time. In such cases a particular...

Pagina 429 - Jo When P and Q have been thus found by quadratures, for all values of t, and any particular value of x, by integration by parts on the plan of § 134, we readily find, without farther quadratures, or integrations, expressions for the seven other formulas included in (189), (190). 151. Let us first find P and Q for t=,x,.

Pagina 414 - group-velocity." 126. The dynamical conclusion of § 125 is very important and interesting in the theory of two-dimensional ship-waves. It shows that the approximately regular periodic train of waves in the rear of a travelling forcive, investigated in §§ 48 — 54 and 65 — 79 above, cannot be as much as half the space travelled by the forcive, from the commencement of its motion ; but that it would be exactly that half-space if some modifying pressure were so applied to the water-surface in...

Pagina 426 - S$, 8$ curves for initiating pressure commencing at zero were drawn, they would differ from the first and third curves of fig. 36 in being at the commencement tangential to the line of abscissas, instead of being inclined to it in the positive direction, as shown in fig. 36. The f curves are all initially tangential to the line of abscissas, but the tangency is only of the first order in fig. 36, while it is of the second order in fig. 38. 144. The third and fourth curves* of fig. 38 show the whole...

Pagina 405 - At times 4 \/TT and 8 ^TT, of diagrams 5 and 6, it has reached so close to x = 1 that this point has been regarded as the actual position of the maximum, both for the purpose of drawing the curve, and for the determination of the total number of zeros. 110. Each zero which originates according to an intersection on the outward side of the argument-curve travels outwards with increasing velocity to infinity, as time advances. Each of the others of the pairs of zeros, that is to say, each zero originating...