University of Edinburgh alumni

229 quotes found

"All hail, Macpherson! hail to thee, Sire of Ossian! The Phantom was begotten by the suing embrace of all impudent Highlander upon a cloud of tradition—it travelled southward, where it was greeted with acclamation, and the thin Consistence took its course through Europe, upon the breath of popular applause. [...] Having had the good fortune to be born and reared in a mountainous country, from my very childhood I have felt the falsehood that pervades the volumes imposed upon the world under the name of Ossian. From what I saw with my own eyes, I knew that the imagery was spurious. In Nature everything is distinct, yet nothing defined into absolute independent singleness. In Macpherson's work, it is exactly the reverse; every thing (that is not stolen) is in this manner defined, insulated, dislocated, deadened,—yet nothing distinct. It will always be so when words are substituted for things. [...] Yet, much as those pretended treasures of antiquity have been admired, they have been wholly uninfluential upon the literature of the Country. No succeeding writer appears to have taught from them a ray of inspiration; no author, in the least distinguished, has ventured formally to imitate them—except the boy, Chatterton, on their first appearance. [...] This incapacity to amalgamate with the literature of the Island, is, in my estimation, a decisive proof that the book is essentially unnatural; nor should I require any other to demonstrate it to be a forgery, audacious as worthless."

- James Macpherson

0 likesPoets from ScotlandTranslators from ScotlandPoliticians from ScotlandUniversity of Aberdeen alumniUniversity of Edinburgh alumni
"A physical theory, like an abstract science, consists of definitions and axioms as first principles, and of propositions, their consequences; but with these differences:—first, That in an abstract science, a definition assigns a name to a class of notions derived originally from observation, but not necessarily corresponding to any existing objects of real phenomena, and an axiom states a mutual relation amongst such notions, or the names denoting them; while in a physical science, a definition states properties common to a class of existing objects, or real phenomena, and a physical axiom states a general law as to the relations of phenomena; and, secondly,—That in an abstract science, the propositions first discovered are the most simple; whilst in a physical theory, the propositions first discovered are in general numerous and complex, being formal laws, the immediate results of observation and experiment, from which the definitions and axioms are subsequently arrived at by a process of reasoning differing from that whereby one proposition is deduced from another in an abstract science, partly in being more complex and difficult, and partly in being to a certain extent tentative, that is to say, involving the trial of conjectural principles, and their acceptance or rejection according as their consequences are found to agree or disagree with the formal laws deduced immediately from observation and experiment."

- William John Macquorn Rankine

0 likesPhysicists from ScotlandMechanical engineersInventorsPeople from EdinburghUniversity of Edinburgh alumni
"Black discovered the difference between weak and strong s, i.e. between the alkali s and s. The work... is essentially quantitative, and... leads into... gas analysis, which was to play a very important role in providing a new chemical theory. ...Black ...first showed that and were two different substances. Although both effervesce when treated with s... [m]agnesium carbonate does not form common lime when heated strongly, and on cooling, the residue is insoluble in water. This product of ignition (oxide) however forms the same salts with acids as does the original salt (carbonate) with the difference that no effervescence occurs. Black also observed that during ignition "air" () is lost, and supposed that to be responsible for the loss of weight as well as for the effervescence... [H]e dissolved the magnesium oxide in sulphuric acid and then precipitated the magnesium with . ...[T]he composition of the precipitate was identical with that... before the ignition... He... concluded that alkali carbonates were not elemental substances, as had been originally thought, because they give "air" to the... oxide... [the] same "air"... responsible for the effervescence... Black then [examined] lime and limestone and applied similar experiments. He established that the air was not identical with atmospheric air... only a component... called by Black "fixed air"... that part... absorbed by lime and the alkali hyroxides. ...[T]he relationship... is similar to that between alkalis and acids... alkalis are "in some measure neutralized" by the fixed air. However, the relation between acids and alkalis is stronger as the acid drives out the fixed air."

- Joseph Black

0 likesUniversity of Edinburgh facultyChemists from ScotlandPhysicists from ScotlandPeople from BordeauxUniversity of Edinburgh alumni
"[W]hat sharpness of mind was employed by John Kepler... when, from there being just five regular solids... he inferred that the number of the planets was six, and by inscription of spheres within these solids and circumscription of spheres around them related the distances and ratios of the orbits. It can scarcely be said with what power of prophecy and by what labours he succeeded in arriving at that great theorem of the elliptical planetary orbits with a common focus at the sun... in such a way that the areas that the radius vector of the planet from the sun traverses are proportional to the times. Nevertheless... so great a man... owned himself unequal to... solving directly the problem of determining for a given time the place of the planet in the elliptical orbit. Here geometry, his goddess-mother, was of no avail... But... he brought forward a conjecture of great use, namely, that the squares of the periodic times are in the same ratio as the cubes of the distances between the planets and the sun. Finally, he discovered a marvellous property of bodies by which in the minimally resisting ether they seek each other and as it were attract. From this he also deduced the tides in a clear but brief discourse in his immortal Commentaries on the star Mars, and was as it were a prophet and a precursor of a great geometer born among the English."

- David Gregory (mathematician)

0 likesAcademics from the United KingdomAstronomers from EnglandMathematicians from EnglandFellows of the Royal SocietyUniversity of Edinburgh alumni
"[G]lory has been reserved to our era and to the English people, who since the instauration of the sciences have made such advances... And passing over the immense labours undergone by the most fruitful astronomers of our people... [H]ow easy and how exact... how geometrical, astronomy has been left to us by that most acute geometer... or astronomer, the Right Reverend Dr Seth sometime Bishop of Salisbury, who while he was among men adorned this chair. How geometrically and acutely he determined the positions and species of the orbit and other related matters, following Kepler and substituting as mean motion the angle at the other focus (which he accordingly called that of the mean motion) in place of the areas to the sun that the radius vector describes and as it were sweeps out. Content with this artifice he did not detain himself over the solution of Kepler’s problem, in which the division of the area of an ellipse in a given ratio by a straight line through a focus is required. But, being a most perspicacious man, he was conscious of what delays arose hence in the construction of tables, and, in order to show the world that astronomy was to be advanced by the help of geometry whatever hypotheses it depended upon, he accomplished the same astronomical problems geometrically from the circular hypothesis."

- David Gregory (mathematician)

0 likesAcademics from the United KingdomAstronomers from EnglandMathematicians from EnglandFellows of the Royal SocietyUniversity of Edinburgh alumni
"Mr Issac Newton in addition to the geometric figure in any orbit of a projectile sought also to find the measure of the (tending to a given centre) of the body borne in that orbit, from whatever cause that force may arise, be it from a deeper mechanical one or from a law imposed by the supreme creator of all things. He inquires geometrically into the law of centripetal force of a body moved in the circumference of a circle with the force tending to a given point either on the circumference or anywhere outside it or inside it, or even infinitely removed. By the same method he seeks the law of centripetal force tending to the centre of a plane nautical spiral (that is one that the radii cut in a given angle) which will drive a body in that spiral. Also the law of centripetal force that would make a body rotate in an ellipse when the centre of the ellipse coincides with the centre of forces. If the ellipse is changed into a hyperbola and the centripetal force into a centrifugal one the same things apply to the hyperbola. Also the resolution of the same problem when the centre of forces coincides with either focus of the ellipse shows that the law of centripetal force is reciprocally in the duplicate ratio of the distance [as the inverse square of the distance]; others had long before shown that this was the one and only law that would satisfy the other phenomenon observed by Kepler in the motion of the planets. These results also apply to the hyperbola and the parabola when the centre of forces is situated in a focus of the conic section."

- David Gregory (mathematician)

0 likesAcademics from the United KingdomAstronomers from EnglandMathematicians from EnglandFellows of the Royal SocietyUniversity of Edinburgh alumni
"But, since the law of centripetal force employed by nature is to be discovered from its symptoms, the indisputably elliptical orbit and the sesquialteral ratio of the periodic times and the distances from the centre of forces, the same great Newton solved not only the universal problem of determining the trajectory and the motion in it for any given centripetal force, but also its converse. After this universal problem had been solved the sequel was to find other [quantities] in the geometric figure that are measures of physical qualities; for example, that the periodic times in ellipses are in the sesquiplicate ratio of the transverse axes [the squares of the times are as the cubes of the axes], and as many other things similar to these as possible. Also, for instance, to compare this force, which we experience in the planets, with another given force near to us, namely gravity. But also the new philosophy was to concern itself with movable elliptical orbits, in which the line of apsides either advances or retires. Also, for instance, a more exact [theory] of rectilinear descent and of the motion of pendulous bodies than the Huygenian one, since that supposes the centre to be infinitely removed. Therefore also, other s different from the common one and variously devised according as the pendulum oscillates inside or outside the surface of the Earth. And let that suffice for this problem. But also on account of the mutual actions of bodies moving around a centre the orbits usually turn out to be deformed, and also an investigation of these actions and of the deformity arising from them, whence arise many minor inequalities of the planets, such as the motion of the nodes, the variation of maximum latitude, and other things in the moon."

- David Gregory (mathematician)

0 likesAcademics from the United KingdomAstronomers from EnglandMathematicians from EnglandFellows of the Royal SocietyUniversity of Edinburgh alumni
"The Science of Astronomy which is as much esteem'd and admir'd for its great and manifold uses for the Service of Mankind, as it is delightful and entertaining to the more curious and contemplative, has in all ages been cultivated and improv'd, by Men the most eminent for their parts and learnings; and is now brought... to the utmost degree of perfection, and that chiefly by the Superior Genius and Industry of those of our own Nation. But since nothing considerable therein, has been as yet writ in our own Language... I could not oblige my Country-Men more than in publishing an English Edition of the most valuable and finish'd piece of Astronomy now extant. It is generally reckoned to be a Book that contains not only all the Discoveries and Philosophical Sentiments of the great Kepler, and the various Hypotheses of the most noted Astronomers before and since his Time; but is chiefly valued by the best Judges, for the large and instructive Comments... on the Writings of the illustrious Sir Isaac Newton, as well as on the Several Astronomical Dissertations of the Sagacious Dr. Halley, which the Reader will find here every where interspers'd. ...I shall, in a very little time, present... another Volume, containing correct Astronomical Tables, for the ready computing of the Planets Places, Eclipses, &c. all done by a Person of known ability, from the true Theory of Gravity, deliver'd in this Book: For it was by no means judged proper that I should annex to so intire a piece as this, any imperfect Tables, drawn from a different Principle from what is here established, such it seems all those as yet published are."

- David Gregory (mathematician)

0 likesAcademics from the United KingdomAstronomers from EnglandMathematicians from EnglandFellows of the Royal SocietyUniversity of Edinburgh alumni