“To the Greek harmony was of supreme importance, and if the triglyphs represented the harmonic scale… their meaning and use is abundantly explained. …The universal admiration which Greek proportions have always excited proves that the method of obtaining them was correct.”

—  Ernest Flagg

Small Houses: Their Economic Design and Construction (1922)

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Ernest Flagg 65
American architect 1857–1947

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Ernest Flagg photo

“A Greek architect of the great epoch would no more have thought of omitting the mark of the harmonic scale of proportion, on which the design was based, than would the composer of music think of omitting the harmonic scale of his composition.”

Ernest Flagg (1857–1947) American architect

Source: Small Houses: Their Economic Design and Construction (1922), Ch. II

Thomas Little Heath photo

“Greek mathematics reveals an important aspect of the Greek genius of which the student of Greek culture is apt to lose sight.”

Thomas Little Heath (1861–1940) British civil servant and academic

Preface p. v
A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

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“Some… agreeing with Philolaus, believe that the proportion is called harmonic because it attends upon all geometric harmony, and they say that 'geometric harmony' is the cube because it is harmonized in all three dimensions, being the product of a number thrice multiplied together. For in every cube this proportion is mirrored; there are in every cube 12 sides, 8 angles and 6 faces; hence 8, the [harmonic] mean between 6 and 12, is according to harmonic proportion…”

Nicomachus (60–120) Ancient Greek mathematician

this harmonic proportion may be expressed as <math>\frac{12}{6}=\frac{12-8}{8-6}</math> or inversely.
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Isaac Newton photo

“In the reign of the Greek Emperor Justinian, and again in the reign of Phocas, the Bishop of Rome obtained some dominion over the Greek Churches, but of no long continuance. His standing dominion was only over the nations of the Western Empire, represented by Daniel's fourth Beast.”

Isaac Newton (1643–1727) British physicist and mathematician and founder of modern classical physics

Vol. I, Ch. 8: Of the power of the eleventh horn of Daniel's fourth Beast, to change times and laws
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)

“A society in whose culture the Ancient Greeks played such an important part was bound to have a view about the Modern Greeks.”

William St Clair (1937) author

Source: That Greece Might Still be Free (1972), p. 15-16.
Context: A society in whose culture the Ancient Greeks played such an important part was bound to have a view about the Modern Greeks. The inhabitants of that famous land, whose language was still recognizably the same as that of Demosthenes, could not be regarded as just another remote tribe of natives or savages. Western Europe could not escape being concerned with the nature of the relationship between the Ancient and the Modem Greeks. The question has teased, perplexed, and confused generations of Greeks and Europeans and it still stirs passions to an extent difficult for the rational to condone.

Thomas Little Heath photo

“For the mathematician the important consideration is that the foundations of mathematics and a great portion of its content are Greek. The Greeks laid down the first principles, invented the methods ab initio, and fixed the terminology. Mathematics in short is a Greek science, whatever new developments modern analysis has brought or may bring.”

Thomas Little Heath (1861–1940) British civil servant and academic

Preface p. v
A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

Ernest Flagg photo

“When the necessity for shelter is great and the means for obtaining it scant, flimsy and makeshift methods of building find ready acceptance; and once introduced are hard to eradicate. Such habits, formed here in early times, still influence construction; as abundantly proved by our inordinate fire loss…”

Ernest Flagg (1857–1947) American architect

Introduction
Small Houses: Their Economic Design and Construction (1922)

“"The language spoken by these early Macedonians has become a controversial issue in modern times. It seems not to have been so in antiquity. As we have seen, Hesiod made Magnes and Macedon first cousins of the Hellenes, and he therefore regarded them as speakers of a dialect (or dialects) of the Greek language. That he was correct in the case of the Magnetes has been proved by the discovery of early inscriptions in an Aeolic dialect in their area of eastern Thessaly. Then, late in the fifth century a Greek historian, Hellanicus, who visited the court of Macedonia, made the father of Macedon not Zeus but Aeolus, a thing which he could not have done unless he knew that the Macedonians were speaking an Aeolic dialect of Greek. A remarkable confirmation of their Greek speech comes from the Persians, who occupied Macedonia as part of their conquests in Europe c.510-480. […] Disagreements over this issue have developed for various reasons. In the second half of the fifth century Thucydides regarded the semi-nomadic, armed northerners of Epirus and western Macedonia as "barbarians", and he called them such in his history of events in 429 and 423. The word was understood by some scholars to mean "non-Greek-speakers" rather than "savages." They were shown to be mistaken in 1956, when inscriptions of 370-68, containing lists of Greek personal names and recording in the Greek language some acts of the Molossians, were found at Dodona in Epirus. This discovery proved beyond dispute that one of Thucydides "barbarian" tribes" of Epirus, the Molossians, was speaking Greek at the time of which he was writing. Demosthenes too called the Macedonians "barbarians" in the 340s. That this was merely a term of abuse has been proved recently by the discovery at Aegae (Vergina) of seventy-four Greek names and one Thracian name on funerary headstones inscribed in Greek letters.”

N. G. L. Hammond (1907–2001) British classical scholar

"The Miracle That Was Macedonia", Palgrave Macmillan (September 1991)

Thomas Henry Huxley photo

“In an ideal University, as I conceive it, a man should be able to obtain instruction in all forms of knowledge, and discipline in the use of all the methods by which knowledge is obtained.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

Universities, Actual and Ideal (1874)
1870s
Context: In an ideal University, as I conceive it, a man should be able to obtain instruction in all forms of knowledge, and discipline in the use of all the methods by which knowledge is obtained. In such a University, the force of living example should fire the student with a noble ambition to emulate the learning of learned men, and to follow in the footsteps of the explorers of new fields of knowledge. And the very air he breathes should be charged with that enthusiasm for truth, that fanaticism of veracity, which is a greater possession than much learning; a nobler gift than the power of increasing knowledge; by so much greater and nobler than these, as the moral nature of man is greater than the intellectual; for veracity is the heart of morality.

Marcus Aurelius photo

“Everything harmonizes with me, which is harmonious to thee, O Universe. Nothing for me is too early or too late, which is in due time for thee.”

Marcus Aurelius book Meditations

XII, 30
Meditations (c. 121–180 AD), Book XII
Context: Everything harmonizes with me, which is harmonious to thee, O Universe. Nothing for me is too early or too late, which is in due time for thee. There is one light of the sun, though it is interrupted by walls, mountains and infinite other things. There is one common substance, though it is distributed among countless bodies which have their several qualities. There is one soul, though it is distributed among several natures and individual limitations. There is one intelligent soul, though it seems to be divided.

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