Quotes about circumference

A collection of quotes on the topic of circumference, circle, center, earth.

Quotes about circumference

“Nature is an infinite sphere whose center is everywhere and whose circumference is nowhere.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

Nature

“God is a circle whose center is everywhere and circumference nowhere.”

Voltaire (1694–1778) French writer, historian, and philosopher

For a discussion of this quotation, which is uncertain in origin but was quoted long before Voltaire, see the following: http://symbio.trick.ca/HomeSashaOnePageBible[2016-05-29] <br class="br">Misattributed

God

“The universe has no circumference”

Nicholas of Cusa (1401–1464) German philosopher, theologian, jurist, and astronomer

ibid.
Context: The universe has no circumference, for if it had a center and a circumference there would be some and some thing beyond the world, suppositions which are wholly lacking in truth. Since, therefore, it is impossible that the universe should be enclosed within a corporeal center and corporeal boundary, it is not within our power to understand the universe, whose center and circumference are God. And though the universe cannot be infinite, nevertheless it cannot be conceived as finite since there are no limits within which it could be confined.

Universe

“In the same society in which the processes of production and distribution will go on far out at the circumference, the essential human concerns will move to the center, to the end, into the teleological questions of "where to" and "what for."”

Ernst Bloch (1885–1977) German philosopher

Source: Man on His Own: Essays in the Philosophy of Religion (1959), p. 142

Question

“Remembering… that 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.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book I, Chapter VI, Sec. 9

Mathematics, Sun

“If we suppose the distance of the fixed stars from the sun to be so great that the diameter of the earth's orbit viewed from them would not subtend a sensible angle, or which amounts to the same, that their annual parallax is quite insensible; it will then follow that a line drawn from the earth in any part of its orbit to a fixed star, will always, as to sense, make the same angle with the plane of the ecliptic, and the place of the star, as seen from the earth, would be the same as seen from the sun placed in the focus of the ellipsis described by the earth in its annual revolution, which place may therefore be called its true or real place.
But if we further suppose that the velocity of the earth in its orbit bears any sensible proportion to the velocity with which light is propagated, it will thence follow that the fixed stars (though removed too far off to be subject to a parallax on account of distance) will nevertheless be liable to an aberration, or a kind of parallax, on account of the relative velocity between light and the earth in its annual motion.
For if we conceive, as before, the true place of any star to be that in which it would appear viewed from the sun, the visible place to a spectator moving along with the earth, will be always different from its true, the star perpetually appearing out of its true place more or less, according as the velocity of the earth in its orbit is greater or less; so that when the earth is in its perihelion, the star will appear farthest distant from its true place, and nearest to it when the earth is in its aphelion; and the apparent distance in the former case will be to that in the latter in the reciprocal proportion of the distances of the earth in its perihelion and its aphelion. When the earth is in any other part of its orbit, its velocity being always in the reciprocal proportion of the perpendicular let fall from the sun to the tangent of the ellipse at that point where the earth is, or in the direct proportion of the perpendicular let fall upon the same tangent from the other focus, it thence follows that the apparent distance of a star from its true place, will be always as the perpendicular let fall from the upper focus upon the tangent of the ellipse. And hence it will be found likewise, that (supposing a plane passing through the star parallel to the earth's orbit) the locus or visible place of the star on that plane will always be in the circumference of a circle, its true place being in that diameter of it which is parallel to the shorter axis of the earth's orbit, in a point that divides that diameter into two parts, bearing the same proportion to each other, as the greatest and least distances of the earth from the sun.”

James Bradley (1693–1762) English astronomer; Astronomer Royal

Miscellaneous Works and Correspondence (1832), Demonstration of the Rules relating to the Apparent Motion of the Fixed Stars upon account of the Motion of Light.

Star, Sense, Light, Distant

“The circumference of earth at equator is 40,000 km and by dividing it with 24 hours (earth completes its rotation in a day), it comes out to 1,667 km. This reverse phenomenon happened at 60 degrees latitude because their jet plane managed a speed of 833.5 km which is half of circumference of the earth.”

Jayant Narlikar (1938) Indian physicist

When Prof Jayant Narlikar saw the sun rise in the west

Speed

“The king who is situated anywhere immediately on the circumference of the conqueror's territory is termed the enemy.
The king who is likewise situated close to the enemy, but separated from the conqueror only by the enemy, is termed the friend”

Chanakya book Arthashastra

of the conqueror
Book VI, "The Source of Sovereign States"
Arthashastra

“When a constant electric current flows along a cylindrical wire, its strength is the same at every part of the section of the wire. But if the current is variable, self-induction produces a deviation from this… induction opposes variations of the current in the centre of the wire more strongly than at the circumference, and consequently the current by preference flows along the outer portion of the wire. When the current changes its direction… this deviation increases rapidly with the rate of alternation; and when the current alternates many million times per second, almost the whole of the interior of the wire must, according to theory, appear free from current, and the flow must confine itself to the very skin of the wire. Now in such extreme cases… preference must be given to another conception of the matter which was first presented by Messrs. 0. Heaviside and J. H. Poynting, as the correct interpretation of Maxwell's equations as applied to this case. According to this view, the electric force which determines the current is not propagated in the wire itself, but under all circumstances penetrates from without into the wire, and spreads into the metal with comparative slowness and laws similar to those which govern changes of temperature in a conducting body.
…Inasmuch as I made use of electric waves in wires of exceedingly short period in my experiments on the propagation of electric force, it was natural to test by means of these the correctness of the conclusions deduced. As a matter of fact the theory was found to be confirmed by the experiments…”

Heinrich Hertz (1857–1894) German physicist

"On the Propagation of Electric Waves by Means of Wires" (1889) Wiedemann's Annalen. 37 p. 395, & pp.160-161 of Electric Waves
Electric Waves: Being Researches on the Propagation of Electric Action with Finite Velocity Through Space (1893)

Law, Nature, Appearance, Change

“In the stage of manhood alone does the human race first appear in his dignity; only there are his principles fixed, his connections appropriate, he sees the full circumference of his sphere; there alone — after we have already learned through many detours, through long, repeated, sad experiences, what a calamity it is to arrogate the rights of others, to raise oneself over others through mere external advantages, to use his size to the detriment of others — there alone one recognizes, believes, feels what an honor, what a joy it is to be a human being.”

Adam Weishaupt (1748–1830) German philosopher and founder of the Order of Illuminati

Die neuesten Arbeiten des Spartacus und Philo in dem Illuminaten-Orden (1794) p. 20.

Sadness, Feeling, Learning, Appearance

“Electric current, after passing into the earth travels to the diametrically opposite region of the same and rebounding from there, returns to its point of departure with virtually undiminished force. The outgoing and returning currents clash and form nodes and loops similar to those observable on a vibrating cord. To traverse the entire distance of about twenty-five thousand miles, equal to the circumference of the globe, the current requires a certain time interval, which I have approximately ascertained. In yielding this knowledge, nature has revealed one of its most precious secrets, of inestimable consequence to man. So astounding are the facts in this connection, that it would seem as though the Creator, himself, had electrically designed this planet just for the purpose of enabling us to achieve wonders which, before my discovery, could not have been conceived by the wildest imagination.”

Nikola Tesla (1856–1943) Serbian American inventor

A Means for Furthering Peace (1905)

Time, Imagination, Nature, Knowledge

“For him the universe did not extend beyond the circumference of her petticoat.”

Gustave Flaubert Madame Bovary

Source: Madame Bovary

Universe

“The first period embraces the time between the first records of empirical determinations of the ratio of the circumference to the diameter of a circle until the invention of the Differential and Integral Calculus, in the middle of the seventeenth century. This period, in which the ideal of an exact construction was never entirely lost sight of, and was occasionally supposed to have been attained, was the geometrical period, in which the main activity consisted in the approximate determination of π by the calculation of the sides or the areas of regular polygons in- and circum-scribed to the circle. The theoretical groundwork of the method was the Greek method of Exhaustions. In the earlier part of the period the work of approximation was much hampered by the backward condition of arithmetic due to the fact that our present system of numerical notation had not yet been invented; but the closeness of the approximations obtained in spite of this great obstacle are truly surprising. In the later part of this first period methods were devised by which the approximations to the value of π were obtained which required only a fraction of the labour involved in the earlier calculations. At the end of the period the method was developed to so high a degree of perfection that no further advance could be hoped for on the lines laid down by the Greek Mathematicians; for further progress more powerful methods were required.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 10-11

Hope, Time, Parting, Perfection

“He started his building programme with the Jami Hazrat mosque Thereafter he decided to build a second minar opposite to the lofty minar of the Jami Masjid, which minar is unparalleled in the world. He ordered the circumference of the new minar to be double that of the old one. People were sent out in all directions in search of stones. Some of them broke the hills into pieces. Some others proved sharper than steel in breaking the temples of the infidels. Wherever these temples were bent in prayers, they were made to do prostration.”

Alauddin Khalji (1266–1316) Ruler of the Khalji dynasty

Khazainul-Futuh by Amir Khusru, quoted in Khalji Kalina Bharata, Persian texts translated into Hindi by S.A.A. Rizvi, Aligarh, 1955. p. 156-157 ff
Quotes from the Khazainul-Futuh

People, World, Search

“The iron arc of the avoiding journey
Curves back upon my weakness at the end;
Whether the faint light spark against my face
Or in the dark my sight hide from my sight,
Centre and circumference are both my weakness.”

Stephen Spender (1909–1995) English poet and man of letters

"Darkness And Light"
The Still Centre (1939)

Light

“Time that weakens all things else has but strengthened the impregnable position of the believer's faith and hope and confidence. And as, year by year, the tree adds another ring to its circumference, every age has added the testimony of its events to this great truth. "The grass withereth, and the flower fadeth, but the word of the Lord shall endure forever."”

Thomas Guthrie (1803–1873) British divine

Source: The Way to Life: Sermons (1862), P. 107 (The Unchangeable Word).

Truth, Age, Faith, Hope

“God is an infinite circle whose center is everywhere and whose circumference is nowhere.”

Nicholas of Cusa (1401–1464) German philosopher, theologian, jurist, and astronomer

ibid.

God

“…there is something about time and space that is not real, and something about us that is. However man may have tumbled into this world of indefinite space, he does not belong to it at all. Real space for him is the eternal here; where we are is always the center of the universe, and the circumference of the universe, just as real time is the 'eternal Now' of our personal experience.”

Northrop Frye (1912–1991) Canadian literary critic and literary theorist

Source: "Quotes", Fearful Symmetry : A Study of William Blake (1947), p. 46

World, Universe, Time, Personality

“Proposition 14. The straight line joined from the centre of the earth to the centre of the moon has to the straight line cut off from the axis towards the centre of the moon by the straight line subtending the (circumference) within the earth's shadow a ratio greater than that which 675 has to 1.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

“Proposition 13. The straight line subtending the portion intercepted within the earth's shadow of the circumference of the circle in which the extremities of the diameter of the circle dividing the dark and the bright portions in the moon move is less than double of the diameter of the moon, but has to it a ratio greater than that which 88 has to 45; and it is less than 1/9th part of the diameter of the sun, but has to it a ratio greater than that which 22 has to 225. But it has to the straight line drawn from the centre of the sun at right angles to the axis and meeting the sides of the cone a ratio greater than that which 979 has to 10125.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

Sun, Parting

“My words like eyes that flinch from light, refuse
And shut upon obscurity; my acts
Cast to their opposites by impatient violence
Break up the sequent path; they fly
On a circumference to avoid the centre.”

Stephen Spender (1909–1995) English poet and man of letters

"Darkness And Light"
The Still Centre (1939)

Light, Flying

“Life, as it exists on Earth in the form of men, animals and plants, is to be found, let us suppose in a high form in the solar and stellar regions. Rather than think that so many stars and parts of the heavens are uninhabited and that this earth of ours alone is peopled – and that with beings perhaps of an inferior type – we will suppose that in every region there are inhabitants, differing in nature by rank and all owing their origin to God, who is the center and circumference of all stellar regions”

Nicholas of Cusa (1401–1464) German philosopher, theologian, jurist, and astronomer

De docta ignorantia http://www.challzine.net/29/29extraterr.html

Life, Men, God, People

“The world can no more have two summits than a circumference can have two centres.”

Pierre Teilhard De Chardin (1881–1955) French philosopher and Jesuit priest

Epilogue, In Expectation of the Parousia, p. 154
The Divine Milieu (1960)

World

“A Grave — is a restricted Breadth —
Yet ampler than the Sun —
And all the Seas He populates
And lands he looks upon

To Him who on its small Repose
Bestows a single Friend —
Circumference without Relief —
Or Estimate — or End”

Emily Dickinson (1830–1886) American poet

943: A Coffin — is a small Domain,
The Complete Poems of Emily Dickinson (1960)

Sun, Sea

“… the pattern of embarrassment behind the contemporary ideal of a language that will best promote good action by entirely eliminating the element of exhortation or command. Insofar as such a project succeeded, its terms would involve a narrowing of circumference to a point where the principle of personal action is eliminated from language, so that an act would follow from it only as a non-sequitur, a kind of humanitarian after-thought.”

Kenneth Burke (1897–1993) American philosopher

Source: A Grammar of Motives (1945), p. 90

Personality

“To find the directions and quarters of the winds your method of procedure should be as follows. In the middle of the city place a marble amussium, laying it true by the level, or else let the spot be made so true by means of rule and level that no amussium is necessary. In the very center of that spot set up a bronze gnomon or "shadow tracker." At about the fifth hour in the morning, take the end of the shadow cast by this gnomon, and mark it with a point. Then, opening your compasses to this point which marks the length of the gnomon's shadow, describe a circle from the center. In the afternoon watch the shadow of your gnomon as it lengthens, and when it once more touches the circumference of this circle and the shadow in the afternoon is equal in length to that of the morning, mark it with a point. From these two points describe with your compasses intersecting arcs and through their intersection and the centre let a line be drawn to the circumference of the circle to give us the quarters of south and north…. and thus we have designed a figure equally apportioned among the eight winds.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book I, Chapter VI, Sec. 5-7

“Infinity is the land of mathematical hocus pocus. There Zero the magician is king. When Zero divides any number he changes it without regard to its magnitude into the infinitely small [great? ], and inversely, when divided by any number he begets the infinitely great [small? ]. In this domain the circumference of the circle becomes a straight line, and then the circle can be squared. Here all ranks are abolished, for Zero reduces everything to the same level one way or another. Happy is the kingdom where Zero rules!”

Paul Carus (1852–1919) American philosopher

"Logical and Mathematical Thought?" in The Monist, Vol. 20 (1909-1910), p. 69

Way, Mathematics, Change, Happiness

“Translates to: Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached. Thus according to the rule ((4 + 100) × 8 + 62000)/20000 = 62832/20000 = 3.1416, which is accurate to five significant figures.”

Aryabhata (476–550) Indian mathematician-astronomer

The irrationality of pi was proved by Lambert in Europe in the year 1761. <br class="br">Source: Arijit Roy The Enigma of Creation and Destruction http://books.google.co.in/books?id=JFmUQqYzA7wC&pg=PA27, Author House, 28 October 2011, p. 27

“Then again, in the human body the central point is naturally the navel. For if a man be placed flat on his back, with his hands and feet extended, and a pair of compasses centered at his navel, the fingers and toes of his two hands and feet will touch the circumference of a circle described therefrom.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book III, Chapter I, Sec. 3

Nature

“Whoever participates in universal Knowledge will regard two apparently contradictory truths as he would two points situated on one and the same circumference that links them together by its continuity and so reduces them to unity; in the measure in which these points are distant from and thus opposed to one another there will be contradiction and this contradiction will reach its maximum when the two points are situated at the extremities of a diameter of the circle; but this extreme opposition or contradiction only appears as a result of isolating the points under consideration from the circle and ignoring the existence of the latter.”

Frithjof Schuon book The Transcendent Unity of Religions

The Transcendent Unity of Religions (1953; revised edition 1984)

Truth, Knowledge, Universe, Distant

““He started his building programme with the Jami‘ Hazrat mosque… Thereafter he decided to build a second minar opposite to the lofty minar of the Jami‘ Masjid, which minar is unparalleled in the world…68 He ordered the circumference of the new minar to be double that of the old one. People were sent out in all directions in search of stones. Some of them broke the hills into pieces. Some others proved sharper than steel in breaking the temples of the infidels. Wherever these temples were bent in prayers, they were made to do prostration.”69”

Amir Khusrow (1253–1325) Indian poet, writer, musician and scholar

About Sultan ‘Alau’d-Din Khalji (AD 1296-1316) in Delhi. S.A.A. Rizvi, Khalji Kalina Bharata, Aligarh, 1955, pp. 156-57.
Khazainu’l-Futuh

People, World, Search

“Every man is the center of a circle, whose fatal circumference he can not pass.”

John James Ingalls (1833–1900) American politician

Eulogy on Benjamin Hill, United States Senate, Jan. 23, 1882.

“Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal … yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently.”

Lucio Russo (1944) Italian historian and scientist

3.2, "Geodesy and Mathematical Geography", p. 68
The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn (2004)

“We live on the circumference of a hollow circle. We draw the circumference, like spiders, out of ourselves: it is all criticism of criticism.”

Laura Riding Jackson (1901–1991) poet, critic, novelist, essayist and short story writer

"The Corpus", from Anarchism Is Not Enough (London: Jonathan Cape, 1928)

Drawing

“… each dot: the center of a circle without circumference …”

Frederick Franck (1909–2006) Dutch painter

Source: Echoes from the Bottomless Well (1985), p. 2

“Every man is a missionary, now and forever, for good or for evil, whether he intends or designs it or not. He may be a blot, radiating his dark influence outward to the very circumference of society; or he may be a blessing, spreading benediction over the length and breadth of the world: but a blank he cannot be. There are no moral blanks; there are no neutral characters. We are either the sower that sows and corrupts, or the light that splendidly illuminates, and the salt that silently operates; but being dead or alive, every man speaks.”

Thomas Chalmers (1780–1847) Scottish mathematician and a leader of the Free Church of Scotland

actually a quote from Voices of the Dead by John Cumming (1854) (p.8: The Speaking Dead)
Misattributed

World, Light, Evil, Dead

“They are at least proof of the inalienable part played, in the functioning of our complex vision, by sensation as an organ of research. But they have a further interest. They are an illuminating revelation of the inherent character and personal bias of the individual soul who is philosophizing. I suppose to a great many minds what we call "the universe" presents itself as a colossal circle, without any circumference, filled with an innumerable number of material objects floating in some thin attenuated ether. I suppose the centre of this circle with no circumference is generally assumed to be the "self" or "soul" of the person projecting this particular image.”

John Cowper Powys (1872–1963) British writer, lecturer and philosopher

Source: The Complex Vision (1920), Chapter I

Soul, Universe, Parting, Personality

“This is the stillness behind motion, when time itself stops; the center is also the circumference of all.”

Starhawk (1951) American author, activist and Neopagan

The Spiral Dance: A Rebirth of the Ancient Religion of the Goddess (1979)
Context: This is the stillness behind motion, when time itself stops; the center is also the circumference of all. We are awake in the night. We turn the Wheel to bring the light. We call the sun from the womb of night. Blessed Be!

Time

“As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART I: THIS WORLD, Chapter 11. Concerning our Priests
Context: p>With us, our Priests are Administrators of all Business, Art, and Science; Directors of Trade, Commerce, Generalship, Architecture, Engineering, Education, Statesmanship, Legislature, Morality, Theology; doing nothing themselves, they are the Causes of everything worth doing, that is done by others.Although popularly everyone called a Circle is deemed a Circle, yet among the better educated Classes it is known that no Circle is really a Circle, but only a Polygon with a very large number of very small sides. As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.</p

Feeling, Nature

“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 (-276–-194 BC) ancient Greek scientist

Vitruvius, De Architectura, Book 1, Chap 6, Sec. 9; as translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 27-28.
About

Sun, Mathematics

“The world is smaller. Steam and electricity, great ships, railways and many recorded experiences have made it so; but as the circumference of this earth has seemed to diminish its commercial undertakings have grown greater.”

Harry Gordon Selfridge (1858–1947) America born English businessman

The Romance of Commerce (1918), A Representative Business of the Twentieth Century

World, Relation ships

“A man who is a spiritual man--a religious teacher--regards the universe from the standpoint of the Spirit from which everything is seen as coming from the One. When he stands, as it were, in the centre, and he looks from the centre to the circumference, he stands at the point whence the force proceeds, and he judges of the force from that point of radiation and he sees it as one in its multitudinous workings, and knows the force is One; he sees it in its many divergencies, and he recognises it as one and the same thing throughout. Standing in the centre, in the Spirit, and looking outwards to the universe, he judges everything from the standpoint of the Divine Unity and sees every separate phenomenon, not as separate from the One but as the external expression of the one and the only Life. But science looks at the thing from the surface. It goes to the circumference of the universe and it sees a multiplicity of phenomena. It studies these separated things and studies them one by one. It takes up a manifestation and judges it; it judges it apart; it looks at the many, not at the One; it looks at the diversity, not at the Unity, and sees everything from outside and not from within: it sees the external difference and the superficial portion while it sees not the One from which every thing proceeds.”

Annie Besant (1847–1933) British socialist, theosophist, women's rights activist, writer and orator

Source: Essays and Addresses, Vol. III- Evolution and Occultism (1913)

Study, Teachers, Universe, Science