It cannot even be granted that a definite area of land was necessary to constitute a knight's fee; for although at a later period and in local computations we may find four or five hides adopted as a basis of calculation, where the extent of the particular knight's fee is given exactly, it affords no ground for such a conclusion.

When astronomers compare observations made by different persons, they cannot neglect the constitutional peculiarities of the individuals, and there enters into these computations a quantity called 'personal equation.'

In point of fact it appears that Shakspeare did owe debts in all directions, and was able to use whatever he found, and the amount of indebtedness may be inferred from Malone's laborious computations in regard to the First, Second, and Third parts of Henry VI., in which, "out of 6,043 lines, 1,771 were written by some author preceding Shakspeare, 2,373 by him, on the foundations laid by his predecessors, and 1,899 were entirely his own."

It was necessary for the reduction of the observations that I should prepare Tables of the motion of Jupiter's 4th Satellite in a form applicable to computations of differences of right-ascension.

On Jan. 3rd I gave notice to the Admiralty that I had finished the computations of Groombridge's Catalogue, and was ready to print.

'With increase of computations, we want more room for computers; with our greatly increased business of Chronometers and Time-Distribution, we are in want of a nearly separate series of rooms for the Time-Department: we want rooms for book-stores; and we require rooms for the photographic operations and the computations of the Magnetic Department.

computations, for inferring the direction and amount of movement of the Solar System in space from the observed proper motions of 1167 stars, have been completed.

With regard to the Numerical Lunar Theory: A cursory collection of the terms relating to the Areas (in the Ecliptic) led me to suppose that there might be some error in the computations of the Annual Equation and related terms.

A most jealous re-examination has however detected nothing, and has confirmed my belief in the general accuracy of the numerical computations.

The computations for the observations have been exceptionally heavy, from the circumstance that the Sun was very low (86° 14' Z.D. at the last observation) and that it has therefore been necessary to compute the refraction with great accuracy, involving the calculation of the zenith distance for every observation.

And besides this, eighty-six separate computations of the tabular R.A. and N.P.D. of cusps have been required.

By 1878 the calculations were so far advanced that an opinion could be formed as to the probable accuracy of the Theory, and the following remark is made: "A cursory collation of the terms relating to the Areas (in the Ecliptic) led me to suppose that there might be some error in the computations of the Annual Equation and related terms;" but no error could be discovered and the work proceeded.

After his resignation of the Office of Astronomer Royal he had no further public assistance, and did much of the computations himself, but a sum of £100 was contributed by Mr De La Rue in furtherance of the work, and this sum was spent on computers.

The critical trial depends on the great mass of computations in Section II.

He was dissatisfied with the old computations and the old tables; and he ventured to begin anew, and to compute an entirely new set of tables.

{161} In all Indian, Mahomedan, and in fact all countries which are not Christian, it is a very difficult task to obtain anything like an exact calculation of the number of inhabitants, as nothing is more hateful to the population than such computations.

Curious computations have been made of the immense muscular power that is brought into exercise when a swallow skims so smoothly through the blue sky; but the strength is of a kind unadapted to mundane uses, and needs the ether for its display.

The lifting buckets of the noria class, Figs. 26 and 27, can be made of positive dimensions to suit the computations as above; but those of the tympanum class, Fig.

The computations which the other sciences make differ in no respect from those of mathematics.

Professor Adams, of Cambridge, who, with his charming wife, years afterward helped to make our own visit to the University a delight, showed her the spot on which he made his computations for Neptune, which he discovered at the same time as Leverrier.

Miss Mitchell now earned five hundred dollars yearly for her government computations, while her father received a pension of three hundred more for his efficient services.

" Maclaurin, a Scotch physicist, checked Koenig's computations and reported to the Royal Society in London in 1743 that he found a solution in exact accord with Maraldi's measurements, thereby completely justifying the mathematics of the bee architect.

The formulæ commonly used for computations are as follows: 5.1 M (1) T = - c^{3} 114.6 T f (2) G = - a c a = angle measured by troptometer at elastic limit, in degrees.

It is regretted that the computations of the barometric and other observations for the determination of the heights of that portion of the country between the valley of the St. John and the sources of the Aroostook, explored by the division of Major Graham, could not be completed in time to be made use of for this report in the description of that portion of the line claimed for Great Britain by Messrs. Featherstonhaugh and Mudge.

[Footnote 35: Since the above was written Major Graham's map and the computations of the barometric heights above alluded to have been completed.