geographers-from-greece

"I have composed a book on the length of the year in which I show that the tropical year contains 365 days plus a fraction of a day which is not exactly 1/4 days as the mathematicians-astronomers suppose, but which is less than 1/4 by about 1/300."

"[Eratosthenes] ... is a mathematician among geographers, and yet a geographer among mathematicians; and consequently on both sides he offers his opponents occasions for contradiction."

"Eratosthenes of Cyrene, employing mathematical theories and geometrical methods, discovered from the course of the sun the shadows cast by an equinoctial gnomon, and the inclination of the heaven that the circumference of the earth is two hundred and fifty-two thousand stadia, that is, thirty-one million five hundred thousand paces."

"Eratosthenes... knew that the Sun was straight overhead in... Syene at noon on the , but that it was 7.2 degrees south of straight overhead in , located 794 kilometers farther north. He concluded... 794 kilometers corresponded to 7.2 degrees out of the 360 degrees... around Earth's circumference, so that the circumference must be 794 km x 360°/7.2°≈39,700 km... remarkably close to the modern value of 40,000 km. Amusingly Christopher Columbus totally bungled this... confusing Arabic miles with Italian miles..."

"In comparison with the great size of the earth the protrusion of mountains is not sufficient to deprive it of its spherical shape or to invalidate measurements based on its spherical shape. For Eratosthenes shows that the perpendicular distance from the highest mountain tops to the lowest regions is ten stades [c.5,000-5,500 feet]. This he shows with the help of dioptras which measure magnitudes at a distance."

"Eratosthenes declares that it is no longer necessary to inquire as to the cause of the overflow of the Nile, since we know definitely that men have come to the sources of the Nile and have observed the rains there."

"An Egyptian priest named Moses, who possessed a portion of the country called the Lower Egypt, being dissatisfied with the established institutions there, left it and came to Judaea with a large body of people who worshipped the Divinity. He declared and taught that the Egyptians and Africans entertained erroneous sentiments, in representing the Divinity under the likeness of wild beasts and cattle of the field; that the Greeks also were in error in making images of their gods after the human form. For God [said he] may be this one thing which encompasses us all, land and sea, which we call heaven, or the universe, or the nature of things.... By such doctrine Moses persuaded a large body of right-minded persons to accompany him to the place where Jerusalem now stands.."

"has produced famous men: in early times, Pittacus, one of the Seven Wise Men; and the poet Alcaeus, and his brother Antimenidas, who, according to Alcaeus, won a great struggle when fighting on the side of the Babylonians, and rescued them from their toils by killing "a warrior, the royal wrestler" (as he says), "who was but one short of five cubits in height." And along with these flourished also Sappho, a marvellous woman (θαύμαστόν τι χρῆμα); for in all the time of which we have record I do not know of the appearance of any woman who could rival Sappho, even in a slight degree, in the matter of poetry."

"The Sidonians according to tradition, are skilled in many beautiful arts, as the poet [Homer] also points out, and besides this they are philosophers in the science of astronomy and arithmetic, having begun their studies with practical calculations and with night sailings, for each of these branches of knowledge concerns the merchant and the shipowner; as for example, geometry was invented, it is said, from the measurement of lands which is made necessary by the Nile when it confounds the boundaries at the time of its overflows. This science, then, is believed to have come to the Greeks from the Aegyptians; astronomy and arithmetic from the Phoenicians; and at present by far the greatest store of knowledge in every other branch of philosophy is to be had from these cities. And if one must believe Poseidonius, the ancient dogma about atoms originated with Mochus, a Sidonian, born before the Trojan times. However, let us dismiss things ancient. In my time there have been famous philosophers from Sidon; Boethus, with whom I studied the Aristotelian philosophy, and his brother Diodotus; and from Tyre, Antipater, and, a little before my time, Apollonius, who published a tabulated account of the philosophers of the school of Zeno and of their books."

"Three classes inhabited the city (Alexandria in Egypt): first the Aegyptian or native stock of people, who were quick-tempered and not inclined to civil life; and secondly the mercenary class, who were severe and numerous and intractable...; and, third, the tribe of the Alexandrians, who also were not distinctly inclined to civil life, and for the same reasons, but still they were better than those others, for even though they were a mixed people, still they were Greeks by origin and mindful of the customs common to the Greeks."

"According to Strabo the Tyrians paid particular attention to the sciences of numbers, navigation, and astronomy; they had, we know, considerable commerce with their neighbours and kinsmen the Chaldaeans."

"Strabo, traveling in North Africa ... [did not find] its women in the army but found that they ruled the country politically, while the men were still without significance in the state, occupying themselves largely with body care and hair-do, greedy for golden jewelry with which to bedeck themselves. The Berbers of our times ....[,] [n]ear the Atlas Mountains, ... have preserved a strong gynocracy. In some Tuareg tribes, the women perpetuate the old culture and know Old Libyan writing and literature. Their men wear veils and remain illiterates."

"Strabo... enters largely, in the Second Book of his Geography, into the opinions of Eratosthenes and other Greeks on one of the most difficult problems in geology, viz., by what causes marine shells came to be plentifully buried in the earth at such great elevations and distances from the sea. He notices, amongst others, the explanation of Xanthus the Lyclian, who said that the seas had once been more extensive, and that they had afterwards been partially dried up, as in his own time many lakes, rivers, and wells in Asia had failed during a season of drought. Treating this conjecture with merited disregard, Strabo passes on to the hypothesis of Strato, the natural philosopher, who had observed that the quantity of mud brought down by rivers into the Euxine was so great, that its bed must be gradually raised, while the rivers still continued to pour in an undiminished quantity of water. He therefore conceived that, originally, when the Euxine was an inland sea, its level had by this means become so much elevated that it burst its barrier near Byzantium, and formed a communication with the Propontis, and this partial drainage had already, he supposed, converted the left side into marshy ground, and that, at last, the whole would be choked up with soil. So, it was argued, the Mediterranean had once opened a passage for itself by the Columns of Hercules into the Atlantic, and perhaps the abundance of sea-shells in Africa, near the Temple of Jupiter Ammon, might also be the deposit of some former inland sea, which had at length forced a passage and escaped."

"In another place, this learned geographer [Strabo], in alluding to the tradition that Sicily had been separated by a convulsion from Italy, remarks, that at present the land near the sea in those parts was rarely shaken by earthquakes, since there were now open orifices whereby fire and ignited matters and waters escaped; but formerly, when the volcanoes of Etna, the Lipari Islands, Ischia, and others, were closed up, the imprisoned fire and wind might have produced far more vehement movements. The doctrine, therefore, that volcanoes are safety valves, and that the subterranean convulsions are probably most violent when first the volcanic energy shifts itself to a new quarter, is not modern."

"We learn from a passage in Strabo, that it was a dogma of the Gaulish Druids that the universe was immortal, but destined to survive catastrophes both of fire and water. That this doctrine was communicated to them from the East, with much of their learning, cannot be doubted."

"They say that these were the tribes collected by Amphiktyon himself in the Greek Assembly: … the Macedonians joined and the entire Phocian race … In my day there were thirty members: six each from Nikopolis, Macedonia and Thessaly..."

"The Phocians were deprived of their share in the Delphic sanctuary and in the Greek assembly, and their votes were given by the Amphictyons to the Macedonians."

"Belistiche, a woman from the coast of Macedonia, won with the pair of foals … at the hundred and twenty-ninth Olympics."

"Greeks are terribly prone to be wonderstruck by the expense of home-products; distinguished historians have explained the Egyptian Pyramids in the greatest detail and not made the slightest mention of the treasure house of Minyas [at Orchomenos] or the walls of Tiryns, which are by no means less marvellous."

"The Aegean sea washes Greece on two sides: first, the side that faces towards the east and stretches from Sunium, towards the north as far as the Thermaean Gulf and Thessaloniceia, a Macedonian city...; and secondly, the side that faces towards the south, I mean the Macedonian country, extending from Thessaloniceia as far as the Strymon."

"There remain of Europe, first, Macedonia and the part of Thrace that are contiguous to it and extend as far as Byzantium; secondly, Greece; and thirdly, the Islands that are close by. Macedonia, of course, is a part of Greece, yet now, since I am following the nature and shape of the place geographically, I have decided to classify it apart from the rest of Greece and to join it with that part of Thrace..."

"What is now called Macedonia was in earlier times called Emathia. And it took its present name from Macedon, one of its early chieftains. And there was also a city emathia close to the sea. Now a part of this country was taken and held by certain of the Epeirotes and the Illyrians, but most of it by the Bottiaei and the Thracians. The Bottiaei came from Crete originally, so it is said, along with Botton as chieftain. As for the Thracians, the Pieres inhabited Pieria and the region about Olympus; the Paeones, the region on both sides of the Axius River, which on that account is called Amphaxitis; the Edoni and Bisaltae, the rest of the country as far as the Strymon. Of these two peoples the latter are called Bisaltae alone, whereas a part of the Edoni are called Mygdones, a part Edones, and a part Sithones. But of all these tribes the Argeadae, as they are called, established themselves as masters, and also the Chalcidians of Euboea; for the Chalcidians of Euboea also came over to the country of the Sithones and jointly peopled about thirty cities in it, although later on the majority of them were ejected and came together into one city, Olynthus; and they were named the Thracian Chalcidians."

"He left in his Optics, the earliest surviving table of angles of refraction from air to water. ...This table, quoted and requoted until modern times, has been admired... A closer glance at it, however, suggests that there was less experimentation involved in it than originally was thought, for the values of the angles of refraction form an arithmetic progression of second order... As in other portions of Greek Science, confidence in mathematics was here greater than that in the evidence of the senses, although the value corresponding to 60° agrees remarkably well with experience."

"Ptolemy... against the champions of this or that cosmology of the heavens... had dared to claim that it is legitimate to interpret the facts of astronomy by the simplest geometrical scheme which will 'save the phenomena,' no matter whose metaphysics might be upset. His conception of the physical structure of the earth, however, prevented him from carrying through in earnest this principle of relativity, as his objections to the hypothesis that the earth moves amply show."

"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."

"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."

"Copernicus, Kepler and Galileo were ‘revisionists’ in rejecting the geocentric system of Ptolemy (which held sway for some 1500 years) and, against an oppressive and repressive mainstream opinion (and officialdom), reinstated—with improvements—the heliocentric system of Aristarchos of Samos (3rd cent BCE)."

"The length of lifetakes the leading place among inquiries about events following birth."

"πᾶν μὲν τὸ δυσέφικτον παρὰ τοῖς πολλοῖς εὐδιάβλητον ἔχει φύσιν"

"We consider it a good principle to explain the phenomena by the simplest hypothesis possible."

"Ptolemy's Geography is the only book on cartography to have survived from the classical period and one of the most influential scientific works of all time."

"There are three classes of friendship and enmity, since men are so disposed to one another either by preference or by need or through pleasure and pain."

"I know that I am mortal by nature and ephemeral, but when I trace at my pleasure the windings to and fro of the heavenly bodies, I no longer touch earth with my feet. I stand in the presence of Zeus himself and take my fill of ambrosia."

"As material fortune is associated with the properties of the body, so honor belongs to those of the soul."