Ptolemy Quotes
The monarchy of the Greeks for want of an heir was broken into several kingdoms; four of which, seated to the four winds of heaven, were very eminent. For Ptolemy reigned over Egypt, Lybia and Ethiopia; Antigonus over Syria and the lesser Asia; Lysimachus over Thrace; and Cassander over Macedon, Greece and Epirus.
Isaac Newton
THEODOTUS: Caesar: you are a stranger here, and not conversant with our laws. The kings and queens of Egypt may not marry except with their own royal blood. Ptolemy and Cleopatra are born king and consort just as they are born brother and sister.
BRITANNUS (shocked): Caesar: this is not proper.
THEODOTUS (outraged): How!
CAESAR (recovering his self-possession): Pardon him, Theodotus: he is a barbarian, and thinks that the customs of his tribe and island are the laws of nature.
George Bernard Shaw
All the men who are now called discoverers, in every matter ruled by thought, have been men versed in the minds of their predecessors, and learned in what had been before them. There is not one exception. I do not say that every man has made direct acquantance with the whole of his mental ancestry... But... it is remarkable how many of the greatest names in all departments of knowledge have been real antiquaries in their several subjects.
I may cite among those... in science, Aristotle, Plato, Ptolemy, Euclid, Archimedes, Roger Bacon, Copernicus, Francis Bacon, Ramus, Tycho Brahe, Galileo, Napier, Descartes, Leibnitz, Newton, Locke.
Augustus De Morgan
Even a statement very close to the periphery can be held true in the face of recalcitrant experience by pleading hallucination or by amending certain statements of the kind called logical laws. Conversely, by the same token, no statement is immune to revision. Revision even of the logical law of the excluded middle has been proposed as a means of simplifying quantum mechanics; and what difference is there in principle between such a shift and the shift whereby Kepler superseded Ptolemy, or Einstein Newton, or Darwin Aristotle?
Willard van Orman Quine
To give here an elaborate account of Pappus would be to create a false impression. His work is only the last convulsive effort of Greek geometry which was now nearly dead and was never effectually revived. It is not so with Ptolemy or Diophantus. The trigonometry of the former is the foundation of a new study which was handed on to other nations indeed but which has thenceforth a continuous history of progress.
Ptolemy
In aesthetic discourse, no interpretative-critical analysis, doctrine or programme is superseded, is erased, by any later construction. The Copernican theory did correct and supersede that of Ptolemy. The chemistry of Lavoisier makes untenable the early phlogiston theory. Aristotle on mimesis and pathos is not superseded by Lessing or Bergson. The Surrealist manifestos of Breton do not cancel out Pope's Essay on Criticism though they may well be antithetical to it.
George Steiner
Persisting in their original resolve to destroy me and everything mine by any means they can think of, these men are aware of my views in astronomy and philosophy. They know that as to the arrangement of the parts of the universe, I hold the sun to be situated motionless in the center of the revolution of the celestial orbs while the earth revolves about the sun. They know also that I support this position not only by refuting the arguments of Ptolemy and Aristotle, but by producing many counter-arguments; in particular, some which relate to physical effects whose causes can perhaps be assigned in no other way. In addition there are astronomical arguments derived from many things in my new celestial discoveries that plainly confute the Ptolemaic system while admirably agreeing with and confirming the contrary hypothesis.
Galileo Galilei
Not much younger than these (sc. Hermotimus of Colophon and Philippus of Mende) is Euclid, who put together the Elements, collecting many of Eudoxus' theorems, perfecting many of Theaetetus', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors. This man lived in the time of the first Ptolemy. For Archimedes, who came immediately after the first (Ptolemy), makes mention of Euclid: and, further, they say that Ptolemy once asked him if there was in geometry any shorter way than that of the elements, and he answered that there was no royal road to geometry. He is then younger than pupils of Plato but older than Eratosthenes and Archimedes; for the latter were contemporary with one another, as Eratosthenes somewhere says.
Proclus
Of the Egyptians also there are accurate chronicles. Ptolemy, not the king, but a priest of Mendes, is the inter preter of their affairs. This writer, narrating the acts of the kings, says that the departure of the Jews from Egypt to the places whither they went occurred in the time of king Amosis, under the leadership of Moses.
Tatian
The laws of nature, as analyzed mathematically and descriptively by Ptolemy and Galen, bore an interesting, and perhaps not entirely accidental similarity to the law of nations and of nature, as discerned by a long succession of Roman jurists. ...The concept of an objective law applicable to human affairs, yet operating in accord with Nature and Reason and apart both from divine revelation and from human whim or passion, was peculiar to Rome and societies descended from Rome.
William H. McNeill
There is perhaps no question that occupies, comparatively, a larger space in the history of Greek geometry than the problem of the Doubling of the Cube. The tradition concerning its origin is given in a letter from Eratosthenes of Cyrene to King Ptolemy Euergetes quoted by Eutocius...
"Eratosthenes to King Ptolemy greeting.
"There is a story that one of the old tragedians represented Minos as wishing to erect a tomb for Glaucus and as saying, when he heard that it was a hundred feet every way,Too small thy plan to bound a royal tomb.
Let it be double; yet of its fair form
Fail not, but haste to double every side.But he was clearly in error; for when the aides are doubled, the area becomes four times as great, and the solid content eight times as great. Geometers also continued to investigate the question in what manner one might double a given solid while it remained in the same form.
Thomas Little Heath
After Aristotle and Ptolemy, the idea that the earth moves - that strange, ancient, and "entirely ridiculous", Pythagorean view was thrown on the rubbish heap of history, only to be revived by Copernicus and to be forged by him into a weapon for the defeat of its defeaters. The Hermetic writings played an important part in this revival, which is still not sufficiently understood, and they were studied with care by the great Newton himself.
Paul Karl Feyerabend
Claudius Ptolemy's great contribution to astronomy was his famous work the Almagest, which presented formally the astronomical theories of the day that had evolved from the great debates within the different Greek philosophical schools. Claudius Ptolemy freely admitted that he had contributed little original research to the treatise but rather had based his conclusions principally on the work of Hipparchus. ...Ptolemy did not claim that his cosmological model described the actual conditions. It simply reproduced geometrically the observed motions of the known heavenly bodies and enabled their positions to be easily predicted for any particular time. ... Ironically, even when Copernicus' heliocentric theory had replaced the Ptolemaic system, many astronomers used Ptolemy's model to predict the motion of the planets, since its intricate calculations produced more accurate values.
Ptolemy
Thus the Empire of the Greeks, which at first brake into four kingdoms, became now reduced into two notable ones, henceforward called by Daniel the kings of the South and North. For Ptolemy now reigned over Egypt, Lybia, Ethiopia, Arabia, Phœnicia, Cœlosyria, and Cyprus; and Seleucus, having united three of the four kingdoms, had a dominion scarce inferior to that of the Persian Empire, conquered by Alexander the great. All which is thus represented by Daniel: And the king of the South [Ptolemy] shall be strong, and one of his Princes [Seleucus, one of Alexander's Princes] shall be strong above him, and have dominion; his dominion shall be a great dominion.
Isaac Newton