and unknown. What a satisfaction must it be to the friends of the London Institution to call forth the energies of such a man! V. THUS, in every age has science been subservient to commerce. When they are separated, science loses almost all her utility; commerce, almost all her dignity. When they are united, each grows with the growth, each strengthens with the strength of the other, and their powers appear unlimited. They ascend the heavens, delve the depths of the earth, and fill every climate that encourages them with industry, energy, wealth, honour and happiness.-To civilization, to virtue, to religion, they open every climate; they land them on every shore; they spread them over every territory. These being the happy effects of their union, must it not be the desire of all, who wish well to either,of all true and enlightened friends of their country, that every measure should be adopted, by which this union can be cemented and invigorated? Permit me to add, that should science ever be neglected by this country and encouraged by others, the commercial part of the community would, in all probability, suffer most and soonest from the consequences. In a conversation, which a very inveterate and acute, and once a very powerful enemy of England, held with a friend of mine at Elba, he spoke of her in terms of respect, and even admiration: but said,— "The term of the transcendantal glory of England must now approach near its end. Years ago, she took a spring, and left the nations of the earth at a distance "behind her; these will soon take their spring, and, "not having your burthens on commerce and her arts, "will pass you."-Vain be the augury! We trust and feel it will. But, were there a ground for it, one powerful means of defeating it would most assuredly be, to promote the union of science and commerce; to stimulate science to every exertion likely to prove. serviceable to the commercial energies of the community; to furnish commerce with the means of affording to science and her followers every facility of research and experiment; to invite science within your walls, and to establish, on a wise, and enlarged and a dignified plan, on a plan suited to the high character of a British merchant,-such institutions as that, which the ceremony of this day has placed under the protection of the city of London, and her opulent, honourable, and discerning sons. That to deserve well of their country, is their earnest wish, we all know; now, power or superfluous wealth is seldom so well employed, as in the encouragement of those, whose labours increase the knowledge, refine the taste, or elevate the genius of their countrymen; and those, who desire fair fame, have no such certain means of attaining it, as connecting their names with great literary institutions, and thus securing the gratitude of the artist and the scholar. NOTE III. referred to in p. 253. Mr. Porson's Problem with its Solution, by the Reminiscent's learned Friend,-Mr. Frend. 1. xy+zu=444 2. xz+yu 180 3. xu+yz=156 4. xyzu=5184 Multiply both sides of the 1st equation by xy, of the 2d by xz, of the 3d by ru. Then of the 1st by zu, of the 2d by yu, of the 3d by yz. Thus, six quadratic equations will be produced; namely, 1 xy + xyzu = 444 xy x2+xyzu – 180 z 3. xu3+xyzu=156 xu 4th. xyzu+zu" =444 zu 5th. xyzu+yu2 = 180 yu 6th. xyzu+yz12 = 156 yz These six equations are all of the same form, and each will have two roots, and they are solved in the same manner, according to the usual rule, exemplified in the 2d equation; thus, xz + xyzu=180 z •.z* +5184=18oz .. 180 xzxz25184. Substracting each side of this last equation from the square of one half of 180 or of 90. 8100-180 xzxz28100-51842916: but the square root of 8100-180 xz +xz2 is 90-xz, or xz—90; |