Proposition presumed from previous work.
The Method of Mechanical Theorems
— Archimedes, buch The Method of Mechanical Theorems
of the portion adjacent to the base
Proposition presumed from previous work.
The Method of Mechanical Theorems
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 4.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 13.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 10.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 9.
On the Equilibrium of Planes
— Archimedes, buch The Method of Mechanical Theorems
Proposition 6.
The Method of Mechanical Theorems
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 14.
On the Equilibrium of Planes
— 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
— 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
— Aristarchus of Samos ancient Greek astronomer and mathematician
p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)
— Aristarchus of Samos ancient Greek astronomer and mathematician
p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)
— Letitia Elizabeth Landon English poet and novelist 1802 - 1838
Heath's book of Beauty, 1833 (1832)
— 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)
— Archimedes, buch The Method of Mechanical Theorems
Proprosition 4.
The Method of Mechanical Theorems
— 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.
— Rosa Luxemburg Polish Marxist theorist, socialist philosopher, and revolutionary 1871 - 1919
Peace Utopias (1911)
— 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.
— Antonella Gambotto-Burke, buch The Pure Weight of the Heart
Quelle: The Pure Weight of the Heart (1998), P. 28.
