Proceedings of the Royal Society of Edinburgh, Volume 11

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Royal Society of Edinburgh., 1882
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Page 414 - The product of a simple alternant and a single symmetric function of its variables is expressible by a sum of simple alternants, whose indices are got by arranging the variables in every term of the symmetric function in the same order, and adding the indices of each term to the indices of the original alternant, the first to the first, the second to the second, and so on.
Page 475 - ... reflected by the yellow particles is deficient in the rays of the violet end of the spectrum. In the Mediterranean the solid particles are whitish, and all the different colour phenomena are easily explained by the different amounts of the reflecting particles at the different places. Where the colour is deep blue there are few particles in the water, and but little light reflected ; and, further, the light passes through a great amount of water, and undergoes a great amount of selective absorption...
Page 864 - Bulletin of the United States Geological and Geographical Survey of the Territories. Vol. Ill, Nos. 1 and 2. Bulletin No. 1 of the United States Entomological Commission, " Destruction of the Young or unfledged Locusts.
Page 430 - Orsini lived; and long might'st thou have seen An old man wandering as in quest of something, Something he could not find — he knew not what.
Page 425 - Vesuvius' sides; The generous grape here pour'd her purple tides. This Bacchus lov'd beyond his native scene ; Here dancing satyrs joy'd to trip the green. Far more than Sparta this in Venus...
Page 159 - Wav'd to assert the murder of a prince, The author of false Latin to convince ; But laid the merits of the cause aside, By those, that understood them, to be try'd. And counted breaking Prisciaris head * a thing More capital, than to behead a king, For which h' has been admir'd by all the learn'd Of knaves concern'd, and pedants unconcern'd.
Page 638 - ... fathoms) lying ENE and WSW between the North of Scotland and the Faroe banks ; a minimum temperature of 32° being registered in some parts of this channel, whilst in other parts of it, at the same depths, and with the same surface-temperature (never varying much from 52°) the minimum temperature registered was never lower than 46°, thus showing a difference of at least 14°.
Page 398 - H' the crowns of the ideal spheroid, representing the average water-level for the whole earth. The angle HCM is made 87° 30', which would be actually the case if 5h 50"' lunar time were the average time of high water for the whole earth. It is obvious that the resultant force of the moon, on the whole mass of the solid and liquid constituting the earth, is not a single force, exerted in the line MC, but that, after the manner of Poinsot, it may be represented by a single force in this line, and...
Page 434 - Quamvis enim pulcherrimarum clade terrarum, ut populi, ut urbes, memorabili casu quasi semper victurus occiderit, quamvis ipse plurima opera et mansura condiderit, multum tamen perpetuitati eius scriptorum tuorum aeternitas addet.
Page 387 - ... waste, yet of sufficient transparency to allow the free entrance of the necessary light. And conversely for an animal cell there can be no more ideal existence than to contain a sufficient number of vegetable cells, constantly removing its waste products, supplying it with starch and oxygen, and being digestible after death. ... In short, we have here economic inter-relations of the animal and the vegetable world reduced to the simplest and closest conceivable form.

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