Geometry Box Quotes

Today, suddenly, I reached an absurd but unerring conclusion. In a moment of enlightenment, I realized that I'm nobody, absolutely nobody. When the lightning flashed, I saw that what I had thought to be a city was in fact a deserted plain and, in the same sinister light that revealed me to myself, there seemed to be no sky above it. I was robbed of any possibility of having existed before the world. If I was ever reincarnated, I must have done so without myself, without a self to reincarnate. I am the outskirts of some non-existent town, the long-winded prologue to an unwritten book. I'm nobody, nobody. I don't know how to feel or think or love. I'm a character in a novel as yet unwritten, hovering in the air and undone before I've even existed, amongst the dreams of someone who never quite managed to breathe life into me. I'm always thinking, always feeling, but my thoughts lack all reason, my emotions all feeling. I'm falling through a trapdoor, through infinite, infinitous space, in a directionless, empty fall. My soul is a black maelstrom, a great madness spinning about a vacuum, the swirling of a vast ocean around a hole in the void, and in the waters, more like whirlwinds than waters, float images of all I ever saw or heard in the world: houses, faces, books, boxes, snatches of music and fragments of voices, all caught up in a sinister, bottomless whirlpool. And I, I myself, am the centre that exists only because the geometry of the abyss demands it; I am the nothing around which all this spins, I exist so that it can spin, I am a centre that exists only because every circle has one. I, I myself, am the well in which the walls have fallen away to leave only viscous slime. I am the centre of everything surrounded by the great nothing. And it is as if hell itself were laughing within me but, instead of the human touch of diabolical laughter, there's the mad croak of the dead universe, the circling cadaver of physical space, the end of all worlds drifting blackly in the wind, misshapen, anachronistic, without the God who created it, without God himself who spins in the dark of darks, impossible, unique, everything. If only I could think! If only I could feel!

The paradox of education: what we most admire we put in a box and make dull.

On what may be the last page he wrote in his notebooks, Leonardo drew four right triangles with bases of differing lengths (fig. 143). Inside of each he fit a rectangle, and then he shaded the remaining areas of the triangle. In the center of the page he made a chart with boxes labeled with the letter of each rectangle, and below it he described what he was trying to accomplish. As he had done obsessively over the years, he was using the visualization of geometry to help him understand the transformation of shapes. Specifically, he was trying to understand the formula for keeping the area of a right triangle the same while varying the lengths of its two legs. He had fussed with this problem, explored by Euclid, repeatedly over the years. It was a puzzle that, by this point in his life, as he turned sixty-seven and his health faded, might seem unnecessary to solve. To anyone other than Leonardo, it may have been.

I don't know how to feel or think or love. I'm a character in a novel as yet unwritten, hovering in the air and undone before I've even existed, amongst the dreams of someone who never quite managed to breathe life into me. I'm always thinking, always feeling, but my thoughts lack all reason, my emotions all feeling. I'm falling through a trapdoor, through infinite, infinitous space, in a directionless, empty fall. My soul is a black maelstrom, a great madness spinning about a vacuum, the swirling of a vast ocean around a hole in the void, and in the waters, more like whirlwinds than waters, float images of all I ever saw or heard in the world: houses, faces, books, boxes, snatches of music and fragments of voices, all caught up in a sinister, bottomless whirlpool. And I, I myself, am the centre that exists only because the geometry of the abyss demands it; I am the nothing around which all this spins, I exist so that it can spin, I am a centre that exists only because every circle has one.

The whole Romantic sham, Bernard! It’s what happened to the Enlightenment, isn’t it? A century of intellectual rigour turned in on itself. A mind in chaos suspected of genius. In a setting of cheap thrills and false emotion. The history of the garden says it all, beautifully. There’s an engraving of Sidley Park in 1730 that makes you want to weep. Paradise in the age of reason. By 1760 everything had gone – the topiary, pools and terraces, fountains, an avenue of limes – the whole sublime geometry was ploughed under by Capability Brown. The grass went from the doorstep to the horizon and the best box hedge in Derbyshire was dug up for the ha-ha so that the fools could pretend they were living in God’s countryside. And then Richard Noakes came in to bring God up to date. By the time he’d finished it looked like this (the sketch book). The decline from thinking to feeling, you see.

It is part," Rollo writes home to the elder Dr. Groast in Lancashire, in elaborate revenge for childhood tales of Jenny Greenteeth waiting out in the fens to drown him, "part of an old and clandestine drama for which the human body serves only as a set of very allusive, often cryptic programme-notes- it's as if the body we can measure is a scrap of this programme found outside in the street, near a magnificent stone theatre we cannot enter. The convolutions of language denied us! the great Stage, even darker than Mr Tyrone Guthrie's accustomed murk… Gilt and mirroring, red velvet, tier on tier of box seats all in shadows too, as somewhere down in that deep proscenium, deeper than geometries we know of, the voices utter secrets we are never told…

And barbarians were inventors not only of philosophy, but almost of every art. The Egyptians were the first to introduce astrology among men. Similarly also the Chaldeans. The Egyptians first showed how to burn lamps, and divided the year into twelve months, prohibited intercourse with women in the temples, and enacted that no one should enter the temples from a woman without bathing. Again, they were the inventors of geometry. There are some who say that the Carians invented prognostication by the stars. The Phrygians were the first who attended to the flight of birds. And the Tuscans, neighbours of Italy, were adepts at the art of the Haruspex. The Isaurians and the Arabians invented augury, as the Telmesians divination by dreams. The Etruscans invented the trumpet, and the Phrygians the flute. For Olympus and Marsyas were Phrygians. And Cadmus, the inventor of letters among the Greeks, as Euphorus says, was a Phoenician; whence also Herodotus writes that they were called Phoenician letters. And they say that the Phoenicians and the Syrians first invented letters; and that Apis, an aboriginal inhabitant of Egypt, invented the healing art before Io came into Egypt. But afterwards they say that Asclepius improved the art. Atlas the Libyan was the first who built a ship and navigated the sea. Kelmis and Damnaneus, Idaean Dactyli, first discovered iron in Cyprus. Another Idaean discovered the tempering of brass; according to Hesiod, a Scythian. The Thracians first invented what is called a scimitar (arph), -- it is a curved sword, -- and were the first to use shields on horseback. Similarly also the Illyrians invented the shield (pelth). Besides, they say that the Tuscans invented the art of moulding clay; and that Itanus (he was a Samnite) first fashioned the oblong shield (qureos). Cadmus the Phoenician invented stonecutting, and discovered the gold mines on the Pangaean mountain. Further, another nation, the Cappadocians, first invented the instrument called the nabla, and the Assyrians in the same way the dichord. The Carthaginians were the first that constructed a triterme; and it was built by Bosporus, an aboriginal. Medea, the daughter of Æetas, a Colchian, first invented the dyeing of hair. Besides, the Noropes (they are a Paeonian race, and are now called the Norici) worked copper, and were the first that purified iron. Amycus the king of the Bebryci was the first inventor of boxing-gloves. In music, Olympus the Mysian practised the Lydian harmony; and the people called Troglodytes invented the sambuca, a musical instrument. It is said that the crooked pipe was invented by Satyrus the Phrygian; likewise also diatonic harmony by Hyagnis, a Phrygian too; and notes by Olympus, a Phrygian; as also the Phrygian harmony, and the half-Phrygian and the half-Lydian, by Marsyas, who belonged to the same region as those mentioned above. And the Doric was invented by Thamyris the Thracian. We have heard that the Persians were the first who fashioned the chariot, and bed, and footstool; and the Sidonians the first to construct a trireme. The Sicilians, close to Italy, were the first inventors of the phorminx, which is not much inferior to the lyre. And they invented castanets. In the time of Semiramis queen of the Assyrians, they relate that linen garments were invented. And Hellanicus says that Atossa queen of the Persians was the first who composed a letter. These things are reported by Seame of Mitylene, Theophrastus of Ephesus, Cydippus of Mantinea also Antiphanes, Aristodemus, and Aristotle and besides these, Philostephanus, and also Strato the Peripatetic, in his books Concerning Inventions. I have added a few details from them, in order to confirm the inventive and practically useful genius of the barbarians, by whom the Greeks profited in their studies. And if any one objects to the barbarous language, Anacharsis says, "All the Greeks speak Scythian to me." [...]

I don’t know how to feel or think or love. I’m a character in a novel as yet unwritten, hovering in the air and undone before I’ve even existed, amongst the dreams of someone who never quite managed to breathe life into me. I’m always thinking, always feeling, but my thoughts lack all reason, my emotions all feeling. I’m falling through a trapdoor, through infinite space… in a directionless, empty fall. My soul is a black maelstrom, a great madness spinning about a vacuum, the swirling of a vast ocean around a hole in the void, and in the waters, more like whirlwinds than waters, float images of all I ever saw or heard in the world: houses, faces, books, boxes, snatches of music and fragments of voices, all caught up in a sinister, bottomless whirlpool. And I, I myself, am the centre that exists only because the geometry of the abyss demands it; I am the nothing around which all this spins, I exist so that it can spin, I am the centre that exists only because every circle has one.

The engineering context of precision where precision is not necessary indicates the existence of sophisticated tools. These have not been found in the archaeological record, but the existence of them must be taken into account when we consider the mountain of circumstantial evidence to support their use. In the case of the Serapeum, the list of tools and instruments that are necessary to create the granite boxes has grown. We can say with certainty that exact measuring instruments existed, for this work and the work at Luxor and Karnak could not have been accomplished without them. They are the most important and necessary tools for such work. The wooden squares, plumb bobs, and alignment instruments on display in the Luxor and Cairo Museums are incapable of giving even the most talented craftsman the information he needs to know that his work has achieved this kind of accuracy. Even if these boxes and monuments were crafted today with modern tools, such instruments are limited in what they can measure--and they most certainly cannot explain the precision and geometry [on display].

Dyson strode into his workshop. He had come up with his big idea: a bagless vacuum cleaner where dust is removed from the air by the geometry of the airflow rather than a filter. But he was pretty much alone. The directors at his company didn’t back his idea (the response he received was: “If that is such a good concept, how come Hoover and Electrolux aren’t doing it already?”), so he started his own business along with a silent partner, who had provided half the capital.