# „The centre of gravity of any cylinder is the point of bisection of the axis.“

—  Archimedes, buch The Method of Mechanical Theorems

Proposition presumed from previous work.
The Method of Mechanical Theorems

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##### Archimedes4
antiker griechischer Mathematiker, Physiker und Ingenieur -287 - -212 v.Chr

## Ähnliche Zitate

### „The centre of gravity of any cone is [the point which divides its axis so that] the portion [adjacent to the vertex is] triple“

—  Archimedes, buch The Method of Mechanical Theorems

of the portion adjacent to the base
Proposition presumed from previous work.
The Method of Mechanical Theorems

### „If two equal weights have not the same centre of gravity, the centre of gravity of both taken together is at the middle point of the line joining their centres of gravity.“

—  Archimedes, buch On the Equilibrium of Planes

Book 1, Proposition 4.
On the Equilibrium of Planes

### „In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.“

—  Archimedes, buch On the Equilibrium of Planes

Book 1, Proposition 13.
On the Equilibrium of Planes

### „The centre of gravity of a parallelogram is the point of intersection of its diagonals.“

—  Archimedes, buch On the Equilibrium of Planes

Book 1, Proposition 10.
On the Equilibrium of Planes

### „The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.“

—  Archimedes, buch On the Equilibrium of Planes

Book 1, Proposition 9.
On the Equilibrium of Planes

### „The centre of gravity of any hemisphere [is on the straight line which] is its axis, and divides the said straight line in such a way that the portion of it adjacent to the surface of the hemisphere has to the remaining portion the ratio which 5 has to 3.“

—  Archimedes, buch The Method of Mechanical Theorems

Proposition 6.
The Method of Mechanical Theorems

### „It follows at once from the last proposition that the centre of gravity of any triangle is at the intersection of the lines drawn from any two angles to the middle points of the opposite sides respectively.“

—  Archimedes, buch On the Equilibrium of Planes

Book 1, Proposition 14.
On the Equilibrium of Planes

### „Your rights reach down where all owners meet, in Hell'sPointed exclusive conclave, at earth’s centre(Your spun farm's root still on that axis dwells);And up, through galaxies, a growing sector.“

—  William Empson English literary critic and poet 1906 - 1984

"Legal Fiction", line 9; cited from John Haffenden (ed.) The Complete Poems (London: Allen Lane, 2000) p. 37.
The Complete Poems

### „Opinion is like a pendulum and obeys the same law. If it goes past the centre of gravity on one side, it must go a like distance on the other; and it is only after a certain time that it finds the true point at which it can remain at rest.“

—  Arthur Schopenhauer, buch Parerga und Paralipomena

Vol. 2 "Further Psychological Observations" as translated in Essays and Aphorisms (1970), as translated by R. J. Hollingdale
Parerga and Paralipomena (1851), Counsels and Maxims

### „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 1. Two equal spheres are comprehended by one and the same cylinder, and two unequal spheres by one and the same cone which has its vertex in the direction of the lesser sphere; and the straight line drawn through the centres of the spheres is at right angles to each of the circles in which the surface of the cylinder, or of the cone, touches the spheres.“

—  Aristarchus of Samos ancient Greek astronomer and mathematician

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

### „They say gravity is the centre of attraction; I rather think that noise is. Nothing so soon assembles the inhabitants of a house as a loud and sudden noise : …“

—  Letitia Elizabeth Landon English poet and novelist 1802 - 1838

Heath's book of Beauty, 1833 (1832)

### „Cézanne made a cylinder out of a bottle. I start from the cylinder to create a special kind of individual object. I make a bottle — a particular bottle — out of a cylinder.“

—  Juan Gris Spanish painter and sculptor 1887 - 1927

Response to questionnaire circulated to the Cubists by Amédée Ozenfant and Le Corbusier, editors of L'Esprit Nouveau # 5 (February 1921), pp. 533-534; trans. Douglas Cooper in Daniel-Henry Kahnweiler, Juan Gris, His Life and Work (1947)

### „Any segment of a right-angled conoid (i. e., a paraboloid of revolution) cut off by a plane at right angles to the axis is 1½ times the cone which has the same base and the same axis as the segment“

—  Archimedes, buch The Method of Mechanical Theorems

Proprosition 4.
The Method of Mechanical Theorems

### „It now appeared that the cylinder of the model, being of brass, would conduct heat much better than the cast-iron cylinders of larger engines,“

—  James Watt British engineer 1736 - 1819

"Notes on Professor Robison's Dissertation on Steam-engines" (1769)
Kontext: In the winter of 1763-4, having occasion to repair a model of Newcomen's engine belonging to the Natural Philosophy class of the University of Glasgow, my mind was again directed to it. At that period my knowledge was derived principally from Desaguliers, and partly from Belidor. I set about repairing it as a mere mechanician; and when that was done, and it was set to work, I was surprised to find that its boiler could not supply it with steam, though apparently quite large enough... By blowing the fire it was made to take a few strokes, but required an enormous quantity of injection water, though it was very lightly loaded by the column of water in the pump. It soon occurred that this was caused by the little cylinder exposing a greater surface to condense the steam, than the cylinders of larger engines did in proportion to their respective contents. It was found that by shortening the column of water in the pump, the boiler could supply the cylinder with steam, and that the engine would work regularly with a moderate quantity of injection. It now appeared that the cylinder of the model, being of brass, would conduct heat much better than the cast-iron cylinders of larger engines, (generally covered on the inside with a stony crust), and that considerable advantage could be gained by making the cylinders of some substance that would receive and give out heat slowly. Of these, wood seemed to be the most likely, provided it should prove sufficiently durable. A small engine was, therefore, constructed... made of wood, soaked in linseed oil, and baked to dryness. With this engine many experiments were made; but it was soon found that the wooden cylinder was not likely to prove durable, and that the steam condensed in filling it still exceeded the proportion of that required for large engines, according to the statements of Desaguliers. It was also found that all attempts to produce a better exhaustion by throwing in more injection, caused a disproportionate waste of steam. On reflection, the cause of this seemed to be the boiling of water in vacuo at low heats, a discovery lately made by Dr. Cullen and some other philosophers... and consequently at greater heats, the water in the cylinder would, produce a steam which would in part resist the pressure of the atmosphere.

### „It is not given to a cylinder to move everywhere by its own motion,“

—  Marcus Aurelius, buch Selbstbetrachtungen

X, 33
Meditations (c. 121–180 AD), Book X
Kontext: It is not given to a cylinder to move everywhere by its own motion, nor yet to water nor to fire nor to anything else which is governed by nature or an irrational soul, for the things which check them and stand in the way are many. But intelligence and reason are able to go through everything that opposes them, and in such manner as they are formed by nature and as they choose. Place before thy eyes this facility with which the reason will be carried through all things, as fire upwards, as a stone downwards, as a cylinder down an inclined surface, and seek for nothing further. For all other obstacles either affect the body only, which is a dead thing; or, except for opinion and the yielding of reason itself, they do not crush nor do any harm of any kind; for if they did, he who felt it would immediately become bad.

### „Grief is a sphere in that it can be turned a quarter turn or turned a millionth, it can be spun on any axis and by any degree and still its aspect is the same.“

—  Antonella Gambotto-Burke, buch The Pure Weight of the Heart

Quelle: The Pure Weight of the Heart (1998), P. 28.

### „The times when the centre of gravity of political development and the crystallising agent of capitalist contradictions lay on the European continent, are long gone by. To-day Europe is only a link in the tangled chain of international connections and contradictions.“

—  Rosa Luxemburg Polish Marxist theorist, socialist philosopher, and revolutionary 1871 - 1919

Peace Utopias (1911)

### „The notion of the "axis of evil" has an interesting provenance. In early drafts of the President's speech the "axis of evil" was the "axis of hatred", "axis" having been settled on for its associations with the enemy in the second world war. The "axis of hatred" at this point consisted of only two countries, Iran and Iraq. whereas of course the original axis consisted of three (Germany, Italy, Japan). It was additionally noticed that Iran and Iraq, while not both Arab, were both Muslim. So they brought in North Korea.We may notice, in this embarras of the inapposite, that the Axis was an alliance, whereas Iran and Iraq are blood-bespattered enemies, and the zombie nation of North Korea is, in truth, so mortally ashamed of itself that it can hardly bear to show its face.“

—  Martin Amis Welsh novelist 1949

"The Palace of the End" (2003)