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"And at Greenwich Mason first learned to know Mayer's Tables of the Moon. ...Bradley first reported on Mayer's Tables on February 10, 1756, and finally on April 14, 1760. With the assistance of Charles Mason, Bradley had compared positions of the Moon as predicted in the Tables with positions as observed at Greenwich. Eleven hundred comparisons led to the comment: So far as it will depend upon the lunar tables the true longitude of a ship at sea may in all cases be found within about half a degree and generally much nearer. It remained to be examined within what limits the errors arising from observations actually taken at sea could be contained. This test was carried out for Bradley by Captain Campbell, of H.M.S. Royal George, on cruises near Ushant in 1758 and 1759. A sextant was made especially for the trials by John Bird, instrument maker for Greenwich Observatory. Bradley's final comment reads: However great the difficulties of finding the longitude by this method seem to be, they are not insuperable, or such as ought to deter those whom it most nearly concerns from attempting to remove them. James Bradley was now nearing the end of his days. His hand was faltering. Nevil Maskelyne and Charles Mason received the torch he had carried. They made the development of the method of lunar distances for finding the longitude at sea a major concern of the rest of their lives."

- James Bradley

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"As soon as Bradley had established these fundamental points he removed the brass quadrant from the western face of the meridian wall, and permanently attached it to the eastern face, where it was afterwards employed in observing the stars that passed the meridian to the south of the zenith. At the same time the iron quadrant was removed from the eastern face of the wall, and, after being re-divided by Bird, was attached to the western face, for the purpose of making observations with the telescope turned towards the north. Bradley now commenced the series of admirable observations which have formed the groundwork of so much valuable research to future enquirers, and which would have assured to him an immortal reputation, even independently of those great discoveries with which his name is inseparably associated. The sun, moon, and principal stars, and the planets when situate in favourable positions, were regularly observed with the transit instrument and the mural quadrants. Moreover, a multitude of small stars, chiefly those of Flamsteed's catalogue were included in the plan of observation. From the year 1750 may be dated the commencement of a series of observations which in point of accuracy may bear a comparison with those of modern times. Henceforward the records of Greenwich Observatory embody a collection of materials, which have almost exclusively formed the groundwork of every investigation undertaken in modern times, for the purpose of improving the solar, lunar, or planetary tables."

- James Bradley

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"The iron quadrant of Graham continued to be attached to the eastern face of the wall erected for its support in 1725, and was employed both by Halley and Bradley in observing the celestial bodies which passed the meridian to the south of the . Bradley however was desirous of extending the plan of his observations and... presented a memorial to the Government in the year 1740, soliciting another quadrant, by means of which the stars that passed the meridian to the north of the zenith might be observed. The Government... at once acceded... and in the following year the observatory was furnished with a magnificent brass quadrant of eight feet radius constructed by Bird, who now took the place of Graham, as the most skilful divider of instruments in his day. ...these were finally subdivided by the micrometer screw to every 1″. The Government at the same time furnished the observatory with a new transit telescope by Bird, eight feet long, besides an excellent clock by Shelton...They also purchased of Bradley the famous zenith sector with which he discovered the phenomena of aberration and nutation, and appropriated it to the use of the observatory. This noble instrument was designed by Bradley to be henceforward employed in determining the errors of collimation of the quadrants, by making observations with it when its face was turned alternately east and west."

- James Bradley

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"P. xxxiii. The time, within which the cause of aberration occurred to Bradley, is still further narrowed by the following extracts from the minutes of 1728, Nov 14: "Dr. Halley took occasion to speak concerning the late improvements in astronomy made from the new discovery of an annual motion of the fixed stars. ...his colleague, the Rev. Mr. Bradley, resolved to fix up another and more accurate instrument... and after fifteen months almost daily observations on fifteen different stars, has at length discovered not only the laws of the motions, but also the true and manifest cause of them." The instrument having been set up at Wansted on the 17th Aug. 1727, the fifteen months would only have been expiring, and from the expressions which are used, it is clear that the completion of the discovery was then quite recent. Halley, at the end of his report, "desired that a proper notice might be taken of this new discovery of Mr. Bradley, to prevent any other person from laying claim to it before he had sufficient time to prepare and adjust his observations and reflexions on this subject for the public." After the communication was finished, Halley concludes his report by saying, that Bradley was sufficiently convinced of his having discovered the true cause of the phenomena, since he was "able to foretell at any time, the situation of a star being given, how much the variation of it will amount unto, and that with so much exactness, that there does not remain any sensible part unaccounted for, which can be supposed to arise from parallax.—The President proposed that thanks might be returned to Mr. Bradley for the great care and pains which he has taken in his application to this subject, and likewise that it would be proper to advise Mr. Bradley, and hasten him to the publication of his thoughts, as soon as conveniently may be.""

- James Bradley

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"He set too low a value on his own works, and always feared lest any thing might lower his reputation. His love of accuracy, likewise, acted as an impediment: those who take the most comprehensive views have the clearest knowledge of what may be deficient: he could see the improvements which were desirable, and while he had not yet attained them: he was unwilling to send out any thing to the public in a state which he considered to be imperfect. There was also another circumstance which operated against his publishing to any great extent: he certainly composed with difficulty; his writings are full of erasures; and after repeated transcriptions, his language was not always the happiest in its construction or arrangement. He was not remiss in noting what occurred to him, and making memoranda, where the words, which first occurred to him, were sufficient to register his thoughts, and recall them at any future time to his remembrance: but to dwell on the expressions which he should use, and to employ himself in polishing them for publication, seem to have been a task of irksome difficulty to him. No one writes well, who has not studied and practised it; and no one is inclined to acquire the habit, who does not enjoy some degree of facility in the execution of his purpose. It is not therefore astonishing that the voluminous historian of astronomy should have found that "Bradley n'avait presque rien publiée [Bradley had almost published nothing]." Besides the tables of Jupiter's satellites and a few others of no great extent, all that he could be found to have himself given to the world is comprised in seventy-two pages of the present volume. But when every thing is considered, we have no reason for regret; if he had written more for the press, he must have done less for our information;—the facts which he established, and the discoveries which he made, are of an intrinsic and inestimable value, beyond all comparison with any dissertations, in which he might have enlarged upon them."

- James Bradley

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"James Bradley, l'astronome le plus célèbre qu'ait produit l'Angleterre, était né en 1692, à Shireborn, dans le comté de Glocester. Il était neveu de Pound, connu surtout par ses distances des satellites à leurs planètes principales, qu'il avait mesurées avec de très grandes lunettes. Pound était curé de Wansted; son exemple et ses leçons inspirèrent à son neveu le goût de l'Astronomie. En 1717 et 1718, Bradley présenta à la Société royale un recueil d'observations diverses. Sa famille l'avait destiné à l'état ecclésiastique, et lui avait fait obtenir une cure, à laquelle il renonça en 1721, quand il fut nommé à la chaire d'Astronomie fondée par Savil à Oxford, devenue vacante par la mort de Keill. On trouve de lui, dans les Transactions philosophiques de 1724, les observations qu'il avait faites d'une comète dans les derniers mois de l'année précédente. Dans le volume de 1726, il donna les longitudes de Lisbonne et du fort de New-York déterminées par les éclipses du premier satellite de Jupiter. Ces premiers essais n'annonçaient encore qu'un amateur d'Astronomie, d'un talent assez ordinaire; une occasion se présenta de se livrer à des recherches plus importantes; Bradley la saisit avec empressement, et elle le conduisit à une découverte qui a rendu son nom immortel."

- James Bradley

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"Light had long been supposed to move with a velocity physically infinite, but the late M. Roemer of the Royal Academy of Paris discovered the contrary... But however natural this theory might be, and however well it might be supported, it was then thought too bold, and poor Roemer did not live to see it adopted. It has, however, been since universally a agreed, that the motion of light is successive; and upon this successive motion of light, Mr. Bradley built his explanation of the irregular variations which he had observed in the stars, and which he called their aberation. His theory was this: Let us suppose a series of very small particles, united into a thread, to fall in direction perpendicular to the horizon; and let several of these threads of particles fall at the same time, in he same direction, so as to be parallel to each other, in the same manner as drops of rain in a dead calm. Let us then suppose a tube to be placed in this rain, in a vertical position, and it is manifest that the drop of water which enters the aperture at the upper end of it, will issue at the aperture below, without touching the inside of the tube. But if the tube be moved parallel to itself, though still kept in a position parallel to the direction of the water, it is clear, that this motion of the tube will cause the drop that enters it to touch one of its sides, before it gets to the bottom; and that this contact will happen sooner, in proportion as the motion of the drops is slow, compared with the motion of the tube; and it is easy to demonstrate, that if the motion of the tube, and that of the rain are equal, the drop which falls in the center of the upper aperture of the tube, will come in contact with the inside of the tube, when it has passed down the tube the distance of half its diameter; and, consequently, that the line of its direction will make an angle of five and forty degrees with the axis of the tube: It follows, therefore, that, to prevent the drops of water from touching the inside of the tube, notwithstanding its motion, the tube must be inclined in an angle of five and forty degrees, on the side towards which it moves; and that, if this inclination should be successively made round in the circumference of a circle, the tube would describe round the vertical line, drawn from the centre of its base, a curve, the angle of which would be ninety degrees. But what has been said, with respect to an inclination of the tube necessary to make the drop pass through it... depends upon the proportion between the motion of the tube, and the motion of the drop; and, in proportion as the motion of the drop is greater than that of the tube, the less the tube must be inclined: so that, if the motion of the drop be supposed to be infinite, no inclination at all of the tube would be necessary... In order to apply this theory to the aberration of the fixed stars, we must substitute for the drops of water, uniting into a thread, the rays of light that come from those stars; and, for the tube, which we have supposed to be first at rest, and then in motion, that of the telescope used to determine the position of the stars, which is carried round with the Earth, in its revolution about the Sun; and we must suppose, that the velocity of the ray of light, having a finite relation to the velocity of the Earth's motion, the tube ought to change its inclination, in proportion as that motion changes its direction; whence it follows, that each star must have a series of different positions; or, which is the same thing, an apparent motion in the heavens, which causes it to describe, in the space of a year, ellipses more or less elongated according to its position. From the calculations of this gentleman it follows, that the velocity of light, as fixed by the aberrations of the stars, is the fame with what M Roëmer supposed it to be, and exactly quadrates with the retardation of the eclipses of the first satellite of Jupiter. A new proof of the truth of his hypothesis, if any new proof had been necessary."

- James Bradley

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