In 1883, Missouri real estate broker James Reavis announced that he held title to a huge tract of land in the Arizona Territory. If certified, the claim would threaten the livelihoods of thousands of residents. In this week’s episode of the Futility Closet podcast we’ll tell the story of the Baron of Arizona, one of the most audacious frauds in American history.
We’ll also scrutinize British statues and puzzle over some curious floor numbers.
In 1921 Charles Steinmetz, “the electrical wizard of Schenectady,” described the conveniences of 2021:
When heating is all done electrically, and I want 70 degrees in my home, I shall set the thermostat at 70 and the temperature will not rise above that point. This temperature will be maintained uniformly regardless of the weather outside.
This will also hold true on the warm day when the temperature outside may be 90 or 100 degrees. The same electrical apparatus will cool the air, and what’s more it will also keep the humidity normal at all times.
“Look back 100 years and it is like jumping into the Dark Ages,” he wrote. “The electrical development is still in its infancy.”
(Via Reddit’s ArchivePorn.)
In 1938, Douglas “Wrong Way” Corrigan departed New York, ostensibly headed for California, and flew instead to Ireland.
The New York Post ran this headline on Aug. 5.
Before the 19th century, containers did not come in standard sizes, and students in the 1400s were taught to “gauge” their capacity as part of their standard mathematical education:
There is a barrel, each of its ends being 2 bracci in diameter; the diameter at its bung is 2 1/4 bracci and halfway between bung and end it is 2 2/9 bracci. The barrel is 2 bracci long. What is its cubic measure?
This is like a pair of truncated cones. Square the diameter at the ends: 2 × 2 = 4. Then square the median diameter 2 2/9 × 2 2/9 = 4 76/81. Add them together: 8 76/81. Multiply 2 × 2 2/9 = 4 4/9. Add this to 8 76/81 = 13 31/81. Divide by 3 = 4 112/243 … Now square 2 1/4 = 2 1/4 × 2 1/4 = 5 1/16. Add it to the square of the median diameter: 5 5/16 + 4 76/81 = 10 1/129. Multiply 2 2/9 × 2 1/4 = 5. Add this to the previous sum: 15 1/129. Divide by 3: 5 1/3888. Add it to the first result: 4 112/243 + 5 1/3888 = 9 1792/3888. Multiply this by 11 and then divide by 14 [i.e. multiply by π/4]: the final result is 7 23600/54432. This is the cubic measure of the barrel.
Interestingly, this practice informed the art of the time — this exercise is from a mathematical handbook for merchants by Piero della Francesca, the Renaissance painter. Because many artists had attended the same lay schools as business people, they could invoke the same mathematical training in their work, and visual references that recalled these skills became a way to appeal to an educated audience. “The literate public had these same geometrical skills to look at pictures with,” writes art historian Michael Baxandall. “It was a medium in which they were equipped to make discriminations, and the painters knew this.”
(Michael Baxandall, Painting and Experience in Fifteenth Century Italy, 1988.)
04/10/2021 UPDATE: A reader suggests that there’s a typo in the original reference here. If 9 1792/3888 is changed to 9 1793/3888, the final result is 7 23611/54432, which is exactly the result obtained by integration using the approximation π = 22/7. (Thanks, Mariano.)
One dark night in 1804, a London excise officer mistook a bricklayer for a ghost and shot him. This raised a difficult question: Was he guilty of murder? In this week’s episode of the Futility Closet podcast we’ll consider the case of the Hammersmith ghost, which has been called “one of the greatest curiosities in English criminal law.”
We’ll also worry about British spiders and puzzle over some duplicative dog names.
Ben Franklin used chess to learn Italian. From his autobiography:
I had begun in 1733 to study languages; I soon made myself so much a master of the French as to be able to read the books with ease. I then undertook the Italian. An acquaintance, who was also learning it, us’d often to tempt me to play chess with him. Finding this took up too much of the time I had to spare for study, I at length refus’d to play any more, unless on this condition, that the victor in every game should have a right to impose a task, either in parts of the grammar to be got by heart, or in translations, etc., which tasks the vanquish’d was to perform upon honour, before our next meeting.
“As we play’d pretty equally,” he wrote, “we thus beat one another into that language.”
In 1901, two English academics met a succession of strange characters during a visit to Versailles. They came to believe that they had strayed somehow into the mind of Marie Antoinette in the year before her execution. In this week’s episode of the Futility Closet podcast we’ll describe the Moberly-Jourdain affair, a historical puzzle wrapped in a dream.
We’ll also revisit Christmas birthdays and puzzle over a presidential term.
When the steamship Princess May was grounded in 1910 near Sentinel Island in Alaska’s Lynn Canal, the tide was high and the ship’s momentum forced it well up onto the rocks. There it perched at an angle of 23 degrees for photographer William Case at the height of its extremity.
Happily there was no loss of life, and the vessel was eventually refloated and returned to service.
In 1926, while working as a schoolteacher in Otterthal, Austria, Ludwig Wittgenstein is alleged to have struck an 11-year-old schoolboy, Josef Haidbauer, so that he collapsed unconscious. The incident was reported to the police, and a judge ordered a psychiatric report, but nothing more is known about the case. Ten years later Wittgenstein appeared in the village to ask the forgiveness of children he had hurt. He wrote in a notebook, “Last year with God’s help I pulled myself together and made a confession. This brought me into more settled waters, into a better relation with people, and to a greater seriousness.”
In the 19th century, some New England communities grew so desperate to help victims of tuberculosis that they resorted to a macabre practice: digging up dead relatives and ritually burning their organs. In this week’s episode of the Futility Closet podcast we’ll examine the causes of this bizarre belief and review some unsettling examples.
We’ll also consider some fighting cyclists and puzzle over Freddie Mercury’s stamp.
