6 op.m. 29.82 64'3 62.3 606 529 88 N.N.W. 10 O 29.82 642 621 603 524 6 10 6 20 29.82 641 616 59'5 509 66 10 ... 90 N.N.W. 40" 29.81 625 618 612 541 96 ... 99 9 29.81 628 610 59'5 509 89 N.N.E. 10 466 7 29.81 626 600 579 480 84 29.81 625 602 58.3 487 ... 86 7 30 " 29.81 627 603 58.3 487 86 N.E. ༦:: The sky is generally covered with light cirrus, cirrostratus, and haze; a very calm evening. Very hazy all round the horizon; cirrus clouds are prevalent; the Crystal Pa. lace is scarcely discernible. Cirrus clouds prevail generally; the haze thickens; the sky is partially free from clouds in the zenith. The sky appears uniformly covered with cirrus, cirrostratus, and haze. Cirrostratus and haze. Meteorological Observations made at different Stations in connexion with Report on the Theory of Numbers.-Part IV. By H. J. STEPHEN SMITH, M.A., F.R.S., Savilian Professor of Geometry in the University of Oxford. 105. General Theorems relating to Composition.-The theory of the composition of quadratic forms occupies an important place in the second part of the 5th section of the Disquisitiones Arithmetica,' and is the foundation of nearly all the investigations which follow it in that section. In accordance with the plan which we have followed in this portion of our Report, we shall now briefly resume the theory as it appears in the Disquisitiones Arithmetica,' directing our special attention to the additions which it has received from subsequent mathematicians. We premise a few general remarks on the Problem of composition. xn If F, (x, x,... a) be a form of order m, containing n indeterminates, which, by a bipartite linear transformation of the type 1 |