In February 1962 John Glenn circled Earth three times on Friendship 7.
When he landed, he received a card from the International Flat Earth Research Society.
It said, “OK wise guy.”
Insight
In 1945, Oxford University’s Museum of the History of Science realized that 14 astrolabes were missing from its collection. Curator Robert T. Gunther had arranged for storage of the museum’s objects during the war, but both he and the janitor who had helped him had died in 1940. The missing instruments, the finest of the museum’s ancient and medieval astrolabes, were irreplaceable, the only examples of their kind. Where had Gunther hidden them?
The museum consulted the Oxford city police and Scotland Yard, who searched basements and storerooms throughout the city. The Times, the Daily Mail, and the Thames Gazette publicized the story. Inquiries were extended to local taxi drivers and 108 country houses. At Folly Bridge, Gunther’s house, walls were inspected, flagstones lifted, and wainscoting prised away. A medium and a sensitive were even consulted, to no avail. Finally the detective inspector in charge of the case reviewed the evidence and composed a psychological profile of Gunther, a man he had never met:
Clever professor type, a bit irascible, who didn’t get on too well with his colleagues. Single minded. Lived for the Museum. Hobby in Who’s Who ‘… founding a Museum’. Used to gloat over the exhibits and looked upon them as his own creation. Never allowed anyone else to handle them. Reticent, even secretive. Never told anyone what he what he was going to do. Didn’t trust them, perhaps. Not even his friends the Rumens, who would have offered their car to move the things. Had original ideas though. Safe from blast below street level. Germans would never bomb Oxford. Why, its total war damage was £100 and that from one of our own shells. How right he was. He never expected to die then. Believed he’d live to 90. Hadn’t made any plans; like most of us he thought he might get bumped off when the war started. That’s what he was telling his son in those letters. There was only one conclusion with a man like that anyhow: he’d never let the things out of his reach if he could have helped it. Didn’t even take the trouble to pack his own treasures away in Folly Bridge.
In 1948 the new curator found the missing instruments — they were right “within reach” in the museum’s basement. Gunther had disguised their crate with a label reading “Eighteenth-Century Sundials,” and it had evaded detection throughout the searches.
From A.E. Gunther, Early Science in Oxford, vol. XV, 1967, 303-309.
(Thanks, Diane.)
Black and White
Roots
In the old times these isles lay there as they do now, with the wild sea round them. The men who had their homes there knew naught of the rest of the world and none knew of them. The storms of years beat on the high white cliffs, and the wild beasts had their lairs in the woods, and the birds built in trees or reeds with no one to fright them. A large part of the land was in woods and swamps. There were no roads, no streets, not a bridge or a house to be seen. The homes of these wild tribes were mere huts with roofs of straw. They hid them in thick woods, and made a ditch round them and a low wall of mud or the trunks of trees. They ate the flesh of their flocks for food, for they did not know how to raise corn or wheat. They knew how to weave the reeds that grew in their swamps, and they could make a coarse kind of cloth, and a rude sort of ware out of the clay of the earth. From their rush work they made boats, and put the skins of beasts on them to make them tight and strong. They had swords made from tin and a red ore. But these swords were of a queer shape and so soft that they could be bent with a hard blow.
— Helen W. Pierson, History of England in Words of One Syllable, 1884
Art Appreciation
If we stand immediately below a painting in a gallery, it appears foreshortened. But if we stand on the other side of the room, it appears small. Somewhere between these two points must be the optimum viewing position, where the painting fills the widest possible angle in our vision. How can we find it?
The German mathematician Regiomontanus posed this question in 1471. We can solve it using calculus, but it also yields to simple geometry: Draw a circle defined by the top and bottom of the painting and our eye level. That’s the point we want — any other point at eye level will define a larger circle, in which the picture makes a smaller chord and subtends a smaller angle.
(Thanks, David.)
In a Word
equitation
n. the art of horseback riding
abequitate
v. to ride away
Quick Thinking
During one of the many nineteenth-century riots in Paris the commander of an army detachment received orders to clear a city square by firing at the canaille (rabble). He commanded his soldiers to take up firing positions, their rifles leveled at the crowd, and as a ghastly silence descended he drew his sword and shouted at the top of his lungs: ‘Mesdames, m’sieurs, I have orders to fire at the canaille. But as I see a great number of honest, respectable citizens before me, I request that they leave so that I can safely shoot the canaille.’ The square was empty in a few minutes.
— American psychiatrist Paul Watzlawick, Change: Principles of Problem Formation and Problem Resolution, 1974
The Nyctograph
Lewis Carroll was a poor sleeper and did a lot of thinking in bed. The notes he made in the dark often turned out to be illegible the next day, but he didn’t want to go to the trouble of lighting a lamp in order to scribble a few lines.
So in 1891 he invented the nyctograph, a card containing a grid of cells that could guide his writing in the dark, using a peculiar alphabet he invented for the purpose:
“I tried rows of square holes,” he wrote, “each to hold one letter (quarter of an inch square I found a very convenient size), but the letters were still apt to be illegible. Then I said to myself, ‘Why not invent a square alphabet, using only dots at the corners, and lines along the sides?’ I soon found that, to make the writing easy to read, it was necessary to know where each square began. This I secured by the rule that every square-letter should contain a large black dot in the N.W. corner. … [I] succeeded in getting 23 of [the square letters] to have a distinct resemblance to the letters they were to represent.”
“All I have now to do, if I wake and think of something I wish to record, is to draw from under the pillow a small memorandum book containing my Nyctograph, write a few lines, or even a few pages, without even putting the hands outside the bed-clothes, replace the book, and go to sleep again. Think of the number of lonely hours a blind man often spends doing nothing, when he would gladly record his thoughts, and you will realise what a blessing you can confer on him by giving him a small ‘indelible’ memorandum-book, with a piece of paste-board containing rows of square holes, and teaching him the square-alphabet.”
Air Traffic
In 1963, New York inventor Einar Einarsson quietly patented a flying car.
The patent abstract is only two pages long. “The car, after traveling on land, may be easily converted for air travel by removing the stabilizers and wings and placing them in position on the outside of the vehicle. The road wheels may be raised and the propellers are now in position for operation. By suitable adjustment of the wings the car can take off, and when in the air the wings are further adjusted for cruising speed.”
I wonder if he built a prototype …
Equal Opportunity
The Pythagorean theorem works for any similar shapes, not just squares.
In the figure above, A + B = C.
If the three sides of a right triangle are made the diameters of three circles, then the combined area of the two smaller circles equals that of the largest. That’s also the area of the circumcircle, since a right triangle’s hypotenuse forms the diameter of its circumscribing circle.