(Roughly) Daily

Posts Tagged ‘John Napier

“Tools have their own integrity”*…

And now, thanks to Theodore Gray, they have their own taxonomy…

… The arrangement follows loosely the characteristic of the regular periodic table: tools with similar functions in each column, getting heavier as you move down the rows. The diagonal line between metals and non-metals on the right side becomes a line between drills and wrenches. The fiery 17th column, the halogens, is a column of tools that use heat, including soldering, welding, casting, and 3D printing…

Find a zoomable version here. See (and buy) this beauty and his other posters and books here.

And for a satisfying companion piece: “Let a Hundred Mechanisms Bloom,” a lovely celebration of 19th Century apple parers.

* Vita Sackville-West

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As we do it ourselves, we might spare a thought for Edmund Gunter; he died on this date in 1626. A clergyman, mathematician, geometer, and astronomer, his mathematical contributions included the invention of the Gunter’s chain, the Gunter’s quadrant, and the Gunter’s scale.

But he is best remembered for creating the forerunner of that once-ubiquitous tool, the slide rule (IYKYK)…

Known as Gunter’s Rule, or simply a “Gunter”, [it was] the invention of Edmund Gunter (1581-1626), a London scholar and contemporary of John Napier, the Scottish inventor of Logarithms. Napier published he first table of logarithms in 1614, and armed with it one could replace multiplication and division with addition and subtraction of the equivalent logarithms — a clear benefit if you have to calculate by hand, as they certainly did in the 17th century. Still, it was one boring and laborious task, which Gunter did away with.

Gunter’s rule has many scales, but the revolutionary one is the one marked “NUM”, which has the numbers from 1 through 100 laid out as a two-cycle logarithmic scale. Now, instead of looking up the logarithms in a table, adding them and looking up the result of the multiplication, all you had to do was use a pair of dividers to add the lengths representing the two multiplicands on the NUM scale; the result could be read right off the same scale.

The true slide rule, invented by William Oughtred shortly afterward, is simply a pair of Gunter scales juxtaposed to allow adding the lengths without the dividers.

“Gunter’s rule”
Gunter’s Rule (source)
A modern slide rule (source)

Written by (Roughly) Daily

December 10, 2023 at 1:00 am

“I’ve always lived by signs”*…

185. CENTRAL SAANICH – honestly if you’re gonna make it this small why bother – would you actually be able to read this while driving? would it be safe? – in conclusion and summary: no

Justin McElroy, Municipal Affairs Reporter for CBC Vancouver, has taken to Twitter to perform an important public service…

I’ve identified 185 communities in the province of British Columbia that have welcome signs.

And in this thread, I’m going to rank every single one.

You can follow the thread, which is underway now: Rating the Welcome Signs of British Columbia, from @j_mcelroy. Via @broderick.

* Iris Murdoch, Henry and Cato

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As we contemplate connoisseurship, we might might send significant birthday greetings to a master of a different kind of sign, William Lilly; he was born on this date in 1602 (O.S.). Described as a genius at something “that modern mainstream opinion has since decided cannot be done at all,” he was an astrologer who was powerfully influential in his own time and hugely impactful on the future course of Western astrological tradition.

Lilly’s autobiography, published towards the end of his life in 1681, at the request of his patron Elias Ashmole, gives candid accounts of the political events of his era, and biographical details of contemporaries that are unavailable elsewhere. It was described, in the late 18th century, as “one of the most entertaining narratives in our language”, in particular for the historical portrayal it leaves of men like John Dee, Simon Forman, John Booker, Edward Kelley, including a whimsical first meeting of John Napier and Henry Briggs, respective co-inventors of the logarithm and Briggsian logarithms, and for its curious tales about the effects of crystals and the appearance of Queen Mab. In it, Lilly describes the friendly support of Oliver Cromwell during a period in which he faced prosecution for issuing political astrological predictions. He also writes about the 1666 Great Fire of London, and how he was brought before the committee investigating the cause of the fire, being suspected of involvement because of his publication of images, 15 years earlier, which depicted a city in flames surrounded by coffins… To his supporters he was an “English Merlin”; to his detractors he was a “juggling wizard and imposter.”…

Wikipedia
Portrait of Lilly, aged 45, now housed in the Ashmolean Museum at Oxford

source