Dome

Dome (pronounced dohm)

(1) In architecture, a vault, having a circular plan and usually in the form of a portion of a sphere, so constructed as to exert an equal thrust in all directions.

(2) A domical roof or ceiling; a polygonal vault, ceiling, or roof.

(3) Any covering thought to resemble the hemispherical vault of a building or room; anything shaped like a hemisphere or inverted bowl.

(4) In water management, (usually in dam design), a semidome having its convex surface toward the impounded water.

(5) In crystallography, a form having planes that intersect the vertical axis and are parallel to one of the lateral axes.

(6) In geology, an upwarp (a broad anticline (a fold with strata sloping downwards on each side) caused by local uplift).

(7) In geology, a mountain peak having a rounded summit (a structure in which rock layers slope away in all directions from a central point).

(8) As vistadome, in passenger vehicles (usually railroad cars), a raised, glass-enclosed section of the roof of, placed over an elevated section of seats to afford passengers a full view of scenery (not usually truly in the hemispherical shape of a dome).

(9) In horology, the inner cover for the works of a watch which snaps into the rim of the case.

(10) A building; a house; an edifice (obsolete except as a literary device).

(11) As heat dome, a meteorological phenomenon in which the interplay of high & low pressure atmospheric systems interact to produce static, warm air over a large area.

(12) To cover with or as if with a dome; to shape like a dome.

(13) To rise or swell as a dome.

(14) In slang, a person's head (the form chrome dome used of the bald).

(15) In slang (both military and in some criminal classes), to shoot in the head (often in the form “got domed”).

(16) In African-American slang, to perform fellatio upon.

1505–1515: From the Middle French domme & dome (a town-house; a dome, a cupola) (which persists in modern French as dôme), from the Provençal doma, from the Italian duomo (cathedral), from the Medieval Latin domus (ecclesiae; literally “house (of the church)”), a calque of the Ancient Greek οἶκος τῆς ἐκκλησίας (oîkos tês ekklēsías).  Dome is a noun & verb, domed & doming are verbs and domelike, domical, domish & domesque are adjectives; the noun plural is domes.

By the 1650s, the formalized use in architecture ensured the meaning was (more or less) standardized as “a round, vaulted roof, a hemispherical covering of a building” and thus the ultimate specialized evolution from the Greek dōma (a house, housetop (used especially of those with a roof “in the eastern style”), from domos (house), from the primitive Indo-European root dem- (house, household).  The medieval use of the German dom and Italian duomo as verbal shorthand for “cathedral” (essentially a clipping from “house of God”) was picked up in the imperfect way so many words entered English to describe architectural features in the style of hemispherical cupolas, the domes at the intersection of the nave and the transept, or over the sanctuary, characteristic architectural feature of Italian cathedrals.  The sense in English of “a building, a house” had been borrowed in English as early as the 1510s and was used mostly of stately homes and it endures but only as a literary device and it’s rarely seen outside of poetry.

The shape occurs to one degree or another in nature and is common in man-made objects and the built environment so dome is an often seen modifier (cake dome, pleasure dome, lava dome; onion dome et al) and appears in the opening lines of one of the most cherished fragments of English verse: Kubla Khan (1797) by Samuel Taylor Coleridge (1772-1834).

In Xanadu did Kubla Khan
A stately pleasure-dome decree:
Where Alph, the sacred river, ran
Through caverns measureless to man
Down to a sunless sea.

Some of the use has also been opportunistic and not especially domical.  Vistadomes were raised, glass-enclosed sections built into the roofs of railway carriages, placed over an elevated section of seats to afford passengers a better view of the scenery.  The idea was picked up by General Motors, the Oldsmobile Vista Cruiser station wagon (1964-1977), the Buick Roadmaster Estate (1991-1996) and the Scenicruiser busses (1954-1956 and made famous in the Greyhound livery some wore until the 1970s) all used raised, partially-windowed sections although none were officially described as “domes”.

The Hagia Sophia, now the main mosque in Istanbul; the minarets were added after the fall of Constantinople to the Ottoman Turks in 1453 and there are many architectural critics who maintain visually they improve the balance of the structure.  The illustration on the right shows how the Byzantine engineers used pendentives to make the construction of domes possible.     

Domes however are most associated with grand-scale, representational architecture (although quite a few builders of McMansions found them hard to resist).  One intriguing aspect of structural engineering upon which the integrity of a dome depends on what are called pendentives (the triangular segments of the lower part of a hemispherical dome left by the penetration of the dome by two semicircular vaults intersection at right angles).  Dating from 1727, pendentive was from the mid-sixteenth century French pendentif, from the Latin pendentem (nominative pendens) (hanging and the source of the English “pendulous”), the present participle of pendere (to hang) from the primitive Indo-European roots pen & spen- (to draw, stretch, spin).  What pendentives permit is the use of a circular dome over a square void square room or an elliptical one over something rectangular room.  Pendentives, (geometrically the triangular segments of a sphere), taper to points at the bottom and spread at the top to establish the continuous circular or elliptical base as required.  As structural supports, pendentives distribute the bulk of a dome’s weight to the four corners (the strongest points) and ultimately to the piers and the foundations below.  The classic example is the Hagia Sophia, the sixth century Byzantine cathedral at Constantinople (modern day Istanbul).  It was converted into a mosque when Constantinople fell to the Ottoman Turks in 1453 and, after a century-odd as a museum, is again a mosque.

Scale model of Germania.  Hitler would spend hours pondering the details but in 1945, he spent even longer looking at the model of what was planned for the Austrian city of Linz where he'd decided to have his tomb installed.

Domes have long been a favorite of emperors, dictators and those other megalomaniacs: architects.  A truly monumental one would have been the Volkshalle (People's Hall and known also as the Große Halle (Great Hall) & Ruhmeshalle (Hall of Glory), the centerpiece of Adolf Hitler’s (1889-1945; Führer (leader) and German head of government 1933-1945 & head of state 1934-1945) never realized plan to re-built Berlin as Germania, a worthy Welthauptstadt (world capital) of his “thousand year Reich”.  Although Albert Speer (1905–1981; Nazi court architect 1934-1942; Nazi minister of armaments and war production 1942-1945) was Germania’s chief architect, in some aspects he was really a glorified draftsman, correcting the technical errors in the drawings passed to him by the Führer who had be sketching parts of the design since the early 1920s.

Even by the standards of the super-dimensionality which was characteristic of the Third Reich, the domed hall would have been extraordinary.  The oculus would have been 46 m (151 feet) in diameter which would have accommodated the entire rotunda of Hadrian's Pantheon and the dome of St Peter's Basilica.  The  250 m (820 feet) diameter of the dome was (and this was a signature of Speer’s approach), bigger even than Hitler had requested and he was much displeased to learn of a rival architect’s plans for a dome 15 m (49 feet) greater in diameter to sit atop the city’s new railway station.  As things turned out, none of the grandiose structures were ever built and although a tinge of regret can be found in Speer’s post-war thoughts, even he admitted the designs were a failure because of “their lack of human scale”.

Berlin's rebuilt Reichstag with steel & glass dome.

Berlin did however eventually get a new dome, albeit it one rendered not in granite but the glass and steel the Führer thought was fine for factories and warehouses but which would have appalled him as a method of construction for public, representational architecture.  Plonked atop the rebuilt Reichstag, it was said to symbolize the reunification of Germany although quite how it managed that has never really been explained although the distinctive structure has become a city landmark and people seem to like it.  A clever design, it sits directly above the chamber of the Bundestag (the lower house of the bicameral federal parliament) and permits public observation, the clever design also reducing energy use by optimizing the input of natural light while moving shrouds minimize glare and heat-soak.

Cinerama Dome, Los Angeles in 1965, the year of its greatest commercial success.

The Cinerama Dome movie theatre sits on Hollywood’s Sunset Boulevard.  Opened in 1963, the Cinerama Dome introduced a new concept for film projection, a curved screen which sat inside a geodesic dome based on the design developed by US systems theorist & architect Richard Buckminster Fuller (1895–1983), one attraction of which was such things could be built at lower coast and in much less time than a conventional theatre building.  Intended to be the first of perhaps thousands around the planet, it was built in a still remarkable four months but it remains the only concrete geodesic on the planet and while it has operated intermittently since being closed during the COVID-19 pandemic, its future is uncertain and although it will probably be preserved as a historic building, it’s likely to be re-purposed as retail or restaurant space.

Lindsay Lohan at the Scary Movie V premiere, Cinerama Dome, April 2013.

The end of the line for Cinerama is another marker in the evolution of the technology which underpinned the evolution of the US economy from one based on agriculture, to one increasingly industrial to one geared around the military & entertainment.  In the 1950s, cinema’s greatest challenge came from television and the film studios fought back by creating differentiation in their products.  The venture into 3D proved a cul-de-sac for a number of reasons but one thing cinemas could do was make their big screens huge and during the 1950s the wide-screen Cinemascope enjoyed a boom.  However, there was a limit to how much screens could grow, hence the interest in Cinerama which projected onto a curved screen designed to take advantage of the way the human eye sees and processes images, the system at its best when provided by three synchronized projectors.  The idea lives on in the curved screens which have become popular among gaming freaks who enjoy the sense of “envelopment”.  It was also the era during which populations moved further from city centres into suburbs and thus, cinemas also needed to move, more of which (but often smaller) would be required.  Thus the attraction of the geodesic dome came which, largely pre-fabricated, was cheap to produce and quick to assemble.  However, Cinerama was expensive to film, to print, to produce and the sheer size and weight of the prints meant it was costly even to ship the material to venues and the conversion process to something which could be used with conventional projection.

Heat Domes

July 2023 Global heat map from the Climate Change Institute, University of Maine, USA.  For those unconvinced, Fox News continues to provide alternative facts.

The “heat dome” is a weather phenomenon, the physics of which has for decades been understood but of late the term has entered general use as much of the northern hemisphere has suffered from prolonged, unusually high temperatures, July 2023 measured as the hottest month ever recorded.  A heat dome occurs when a large, high-pressure system traps and concentrates hot air in a specific region, leading to prolonged and extremely high temperatures. Under a heat dome, the atmospheric pressure aloft prevents the hot air from rising and dissipating, effectively acting as a lid or cap over the area, thus the image of a dome sitting over the land.

The UK's Royal Meteorological Service's simple illustration of the physics of a heat dome.  Heat domes are also their own feedback loop.  A static areas of high pressure which already contains warm or hot air trapped under the high will become hotter and hotter, creating a heat dome.  Hot air will rise into the atmosphere, but high pressure acts as a lid and causes the air to subside or sink; as the air sinks, it warms by compression, and the heat builds. The ground also warms, losing moisture and making it easier to heat even more.

Probe

Probe (pronounced prohb)

(1) To search into or examine thoroughly; question closely; an investigation, especially by a legislative committee, of suspected illegal activity.

(2) To examine or explore with or as if with a probe; the act of probing.

(3) A slender surgical instrument for exploring the depth or direction of a wound, sinus, or the like.

(4) In aerospace, an unmanned exploration spacecraft.

(5) A projecting, pipe-like device on a receiving aircraft used to make connection with and receive fuel from a tanker aircraft during refuelling in flight.

(6) A device, attached by cord to an oven that can be inserted into food so the oven shuts off when the desired internal temperature of the food is reached.

(7) In biochemistry, any identifiable substance that is used to detect, isolate, or identify another substance, as a labelled strand of DNA that hybridizes with its complementary RNA or a monoclonal antibody that combines with a specific protein.

(8) In electronics, a lead connecting to or containing a measuring or monitoring circuit used for testing; a conductor inserted into a waveguide or cavity resonator to provide coupling to an external circuit

1555–1565: From the Medieval Latin proba (examination (“test” in Late Latin)), derivative of probāre (to test, examine, prove), from probus (good).  The Spanish tienta (a surgeon's probe) came from tentar (try, test).  The dual meanings in Latin ((1) instrument for exploring wounds etc and (2) an examination) persist in English.  The sense "act of probing" is from 1890, from the verb; the figurative sense of "penetrating investigation" is from 1903.  The use to describe a "small, unmanned exploratory spacecraft" is attested from 1953; unrelated to this is the curious popularity of aliens subjecting humans to examinations with anal probes in stories of alien abduction.  Probe is a noun & verb, probing & probed are verbs, probeable is an adjective and probingly is an adverb; the noun plural is probes.

The Voyager 1 space probe launched by NASA in 1977.

Originally (with companion probe Voyager 2) a twelve-year mission, it’s expected to remain a functional scientific instrument until 2025 and is now some 24 billion km (15 billion miles) away, the most distant human-made object from Earth (only our radio waves have travelled further).  There are some who claim the probes have already reached inter-stellar space while other astronomers  maintain the edge of our solar system extends much further than was once thought and they're travelling still through a sort of cosmic limbo.  The Voyager probes, even after they're long inert, may continue their journeys for thousands or millions of years because, although the universe is a violent, destructive swirl, there is vast distance between threatening stuff.

Of the many inconsistencies in English spelling, none must be seem more mystifying to anyone learning the language than those words affected by the “mute e rule”: the inflections and derivatives formed from words ending in a “silent e”.  The question always is: to e or not to e?  Deciding whether to retain or omit the last letter is easier than once it was because dictionaries seem now to be more consistent in their approach, presumably one of the benefits of their shift to becoming on-line resources although, for historic reasons, we seem stuck with what seem ancient, arbitrary decisions such as ageing and icing continuing in peaceful co-existence.  So, there are words where centuries of particular spellings have become entrenched that to suggest a change would be absurd and that means any rule would have both examples which conform and those which defy.  Henry Fowler (1858–1933) in his A Dictionary of Modern English Usage (1926) acknowledged the impossibility of constructing a rule of absolute validity but as a guide offered (1) an indicative rule and (2) a guide to the exceptions.  The (1) rule was “when a suffix is added to a word ending in a mute e, the mute e should be dropped before a vowel but not before a consonant”.  The condition for (2) an exception was “the mute e should be kept even before a vowel if it is needed to indicate the soft sound of a preceding g or c or to distinguish a word from another with the same spelling”.  Probe is such an exception because if one has a probe, it’s helpful to know if something (or someone according to those who have been abducted by aliens) is probeable and that adjective can’t be spelled “probable” because that has another meaning.

The Mazda MX-6-based Ford Probe (1988-1997, left) and the car it was once mooted to replace, the long-serving “Fox” Mustang (1978-1993).

A competent, inoffensive coupé, the Ford Probe would probably have existed for a decade as a moderate success and then, having been discontinued without a direct replacement, been soon forgotten, had it not been for the furore which ensued when the idea surfaced it might be the company’s replacement for the Mustang.  In 1987, by means of a “controlled leak” the pro-Mustang faction (the beer drinkers) within the corporation let it be known Ford was planning to replace the Mustang with a modified version of a Mazda (championed by the chardonnay faction).  The reaction was vociferous & voluminous, Ford’s mailbox (and in 1987 mail came in envelopes with stamps attached) soon overflowing with complaints, the idea of a front-wheel-drive (FWD) Mustang anathematic, the absence of a V8 apparently beyond comprehension (although the Mustang II had suffered that fate in 1973-1975).  They also put their money where their poison pens were because the previously moribund sales of Mustangs suddenly spiked, the thought that this might be the last chance to buy a “proper” rear-wheel-drive (RWD), V8 powered Mustang enough to push the thing back up the sales chart.  The flow of letters and cash proved enough to persuade Ford and the platform was reprieved, the Mustang surviving to this day as a unique and highly profitable niche.  The Mazda co-project however was well advanced so the decision was taken to proceed and offer both and, badged as the Ford Probe, the modified Mazda lasted a decade-odd and it’s doubtful it cannibalized much of the Mustang’s market, its competition the other mid-sized, FWD Japanese coupés which had become popular.  A typical Japanese product, well engineered with a high build-quality, the Probe was a success (though it never realised Ford’s hopes in overseas markets) and when production ended, the only reason it wasn’t replaced was because the demographic buying the things had shifted to other segments, notably the sports utility vehicles (SUV) which would soon dominate.

1969 M-505 Adams Brothers Probe 16 (Durango 95)

The still controversial film A Clockwork Orange (1971) was based on the dystopian 1962 novel of the same name by Anthony Burgess (1917–1993).  At the time shocking in its depiction of violence, it's set some time in the future and as part of the verisimilitude the car used in the "driving scene" was a M-505 Adams Brothers Probe 16, one of three built.  Only 34 inches (864 mm) high (the prototype was 5 inches (125 mm) lower!), it emerged from the studios of the designers of the quirky Marcos sports cars which were idiosyncratic even by the standards of the cottage industry of low-volume sports cars which flourished in the UK until the early 1970s.  Although utterly impractical (passengers entered and exited through a sliding glass roof) it certainly looked futuristic but performance was disappointing because of the limited power. To create the mid-engined Probe, the designers used the engine and gearbox from the modest Austin 1800, moving the FWD package amidships, an approach later adopted by a number of manufacturers.  Had it been built using the mechanicals from the contemporary Cadillac Eldorado (which improbably had a 472 cubic inch (7.7 litre) V8 driving the front wheels through a chain-drive transaxle), assuming such a thing could be made to fit, it would have offered performance to match the promise of the looks.  In the film, the Probe was given the name “Durango 95” a name which seems to have chosen for no particular reason although the “95” may have been an allusion to 1995, decades away when the book was written.  Although A Clockwork Orange is perhaps not something with which manufacturers would like their products to be associated, many have since used the Durango name for a variety of purposes.

Newspaper headline writers like the word “probe”.  Within the industry, short, punchy words like “probe”, “jab”, “fix”, “bid” et al are part of a subset of English called “headline language”.

Driving scene in A Clockwork Orange (1971): 1969 M-505 Adams Brothers Probe 16 (Durango 95).

Caste

Caste (pronounced kahst)

(1) In sociology, an endogamous and hereditary social group limited to persons of the same rank, occupation, economic position, etc, and having mores distinguishing it from other such groups.

(2) Any rigid system of social distinctions.

(3) In Hinduism, any of the social divisions into which Hindu society is traditionally divided, each caste having its own privileges and limitations, transferred by inheritance from one generation to the next.

(4) In entomology, one of the distinct forms among polymorphous social insects, performing a specialized function in the colony, as queen, worker or soldier.

1545-1555: From the Portuguese & Spanish casta (race, breed, ancestry), noun use of casta, feminine of casto, from the Classical Latin castus (pure, chaste), from castus (cut off, separated; pure) the notion being "cut off" from faults and was the past participle of carere (to be cut off from (and related to castration)).  The ultimate root was the primitive Indo-European kes (to cut) from which Latin later picked-up cassus (empty, void).  It was originally spelled cast in English and later often merged with the noun cast in its secondary sense "sort, kind, style."  Many of the derived forms (half-caste, quarter-caste, castless, outcaste (actually modeled on the English outcast) et al) were coined under the Raj and reflect the concerns and prejudices of the colonialists.  Caste & casteism are nouns; the noun plural is castes.

Application to Hindu social groups was picked up by English in India in the early 1600s and the English used the Portuguese casta (the earlier casta raça (unmixed race) comes from the same Latin root)) but the spelling soon became caste.  Interestingly, the phrase "caste system" seems not to have been in use (at least in surviving documents) until the 1840s.  Caste differs from class in that caste has come to mean a group of persons set apart by economic, social, religious, legal, or political criteria, such as occupation, status, religious denomination, legal privilege, skin colour, or some other physical characteristic.  In the west, over time, wealth or other desirable characteristics can permit upward movement between classes whereas in societies with defined (even if informally) caste systems, the distinctions tended to be static and inter-generational.

The Raj and after

Although it exists in many regions and religions, the best-known caste system is that of the Hindus, probably because, under the Raj, it was well suited to the purposes of British colonial administration, run as it mostly was by the class-conscious English.  The pre-Raj historical development of caste is contested but its origins are certainly in ancient India although modified to suit the needs of the various elites, the two most recent being the Raj and the government in New Delhi.  Historically, the Hindu castes, as a codified structure, existed only as divisions within the political elite, priests, intellectuals and generals and it was only later, as the means of of communications and methods of centralized control improved, that it was extended to previously casteless social groups which became differentiated caste communities.  Under the Raj, the colonial administrators rendered rigidity to the caste organization and until 1920, permitted only those of the upper castes to be appointed to senior civil service positions.  This changed in the 1920s, not because of any sympathy by the British towards notions of social justice but because of social unrest and agitation for independence so the Raj applied the classic colonial fix which for centuries the British did better than anyone: take the side of the oppressed minority.  From then on, the Raj enacted a policy of affirmative action by reserving a certain percentage of civil service positions for the lower castes.

Despite the impression in the west, the new constitution of independent India didn’t actually abolish caste but it did outlaw discrimination against lower castes by essentially (and unsuccessfully) proscribing untouchability and central and state governments continue to use caste as a mechanism to promote positive discrimination in education and employment.  The implications of this, particularly the unintended consequences, are not without controversy.  Although there exists a bewildering number of sub-castes, the four major hereditary castes are:

Brahmins: priests, scholars and teachers.
Kshatriyas: rulers, warriors and administrators.
Vaishyas: agriculturalists and merchants.
Shudras: workers and service providers.

In the narrow technical sense, the untouchables (popularly still known as Dalits, although the government has mandated Scheduled Castes) are not part of the caste system but, by outsiders, are regarded as the caste system's lowest rung.  Dalit was from the Hindi दलित (dalit) (downtrodden, oppressed), from the Sanskrit दलित (dalita) (broken, scattered)).  Few institutions have proved as suitable for adaptation to the structured databases of the internet than the Indian marriage market which works by determining compatibility, based on matching the values in the fields; collectively, what a candidate enters into these fields constitutes their "biodata" and on the basis of this they will hope to be judged a suitable boy or girl.  In India, it's widely acknowledged that while the algorithms which underpin the sites are helpful as an exclusionary tool (and thus a great time-saver), the actual selection process of from what remains lie still with the families & individual prospective brides & grooms, the relative influence varying between households.  In contemporary India, while as a system of social stratification caste remains one of the most powerful cultural dynamics, there is now more reluctance to discuss its operation and there is some evidence of changing attitudes among younger generations, especially the urbanized.  However, in the rural areas where most of the population lives, caste seems still to be as crucial a determinate of structure as ever.

The informal social stratifications which emerge organically in an institution like a high school are interesting because they are determined by both outside influences and their interaction with the formal stratifications inherent in the educational system (age, academic & sporting achievement, the geographical catchment from which the cohort is drawn etc).  The term clique is often used and in the microcosm of a school, that's probably the best word because unlike a caste, movement between cliques is possible, depending only on group acceptance.  Clique was borrowed from the French, from the Old French cliquer which was imitative (on the idea of "click") and thought to have been influenced by claque (a group of people hired to applaud or boo (literally “a slap; a clap")).

Any review of the work of anthropologists, sociologists and behavioral zoologists would probably confirm that on planet Earth, among all groups of humans or non-humans which have been organized into any sort of collective arrangement, some form of a system of social stratification can be identified.  In human cultures, some have for centuries operated in the manner of castes in that they were unchanging and based entirely on descent with social movement either culturally or legally proscribed while some came to acknowledge wealth could permit "upward mobility".  In rare cases this could be almost instant but more commonly was something which unfolded over several generations, each becoming more refined than the last, the combination of gentility and financial largess towards their erstwhile "betters" (effectively bribes or "cash for honors") being rewarded with titles and appointments to offices within the establishment.  In the West, this lent societies an economic and cultural dynamic often lacking in places where hierarchies tended to be static.

Traduce

Traduce (pronounced truh-doos or truh-dyoos)

(1) To malign a person or entity by making malicious and/or false or defamatory statements; slander; libel; defame.

(2) To pass on (to one's children, future generations etc.); to transmit (archaic).

(3) To pass into another form of expression; to rephrase, to translate (archaic).

1525–1535: From the Latin trādūcō (lead as a spectacle, dishonor), from trādūcere (to lead over, transmit, disgrace), a variant of trānsdūcere (to transfer, display, expose), the construct being tra- (from the preposition trāns (through, across, beyond)) + dūcere (to lead).  Synonyms include vilify, decry & disparage.  The Latin trādūcere was from the Proto-Italic tranzdoukō and cognates included the Italian tradurre and the French traduire.  The noun transduction (act of leading or carrying over) is from the 1650s, from the Latin transductionem & traducionem (nominative transductio) (a removal, transfer), noun of action from the past-participle stem of transducere & traducere (change over, convert) which also picked up the meaning "lead in parade, make a show of, dishonor, disgrace".  Traduce, traduction, traduced & traducing are verbs, traducement & traducer are nouns, traducingly is an adverb and traducible is an adjective; the most common noun plural is traducements.

To be traduced in speech or in writing (historically treated in English (and related) legal systems respectively as libel and slander but some systems have reformed their rules and now treat all as just the single concept of defamation) can allow the victim to seek redress through legal process, the available remedies including retractions, apologies and damages by way of financial compensation.  Also available is the injunction to prevent publication and what has become popular in some jurisdictions in the (secret) secret injunction, a device whereby (1) publication is denied, (2) all details of the matter (names of the parties or even an allusion to the nature of the proscribed material) and (3) the very fact any injunction has been granted is kept secret.

Mostly a thing of civil law, in some jurisdictions there’s still the offence of criminal defamation but its very existence is now less common and use seldom.  Criminal defamation exists when someone publishes defamatory material knowing it is, or not caring if it is, false with the intention to, or not having regard to whether it will, cause serious harm to the victim or any other person is guilty of a crime.  In most cases, the same defenses available in a civil action can be used in a criminal matter; a criminal charge does not preclude civil action being taken for the same publication.  The matter of truth is interesting.  In the United States, truth is an absolute defense to an action for defamation.  As many have found out, that doesn’t mean there aren’t in the US consequences for publishing something defamatory but the action taken will not be on grounds of libel or slander.  Although it seems strange to many, truth isn’t an absolute defense in many jurisdictions but it can be a matter raised in mitigation so that even if a judgment is delivered against a defendant, the damages awarded may be nominal.

Publish and be damned

Although there’s always been a suspicion a ghost writer may have helped a bit in matters of style, the content of Harriette Wilson’s (1786–1845) book The Memoirs of Harriette Wilson: Written by Herself was all her own.  First published in 1825, it was a best seller and thought topical enough to deserve a re-print a century later, it’s notable still for having one of the finest opening lines of any auto-biography ever published:

"I shall not say how and why I became, at the age of fifteen, the mistress of the Earl of Craven."

The cover of some of the French editions were more alluring than those sold in England.

However much the tales of Regency’s most revealing courtesan may have delighted readers, there was one not so happy.  In the mail one morning in December 1824, Arthur Wellesley (1st Duke of Wellington; 1769–1852, UK prime-minister 1828-1830) the famous soldier who led the coalition of armies which defeated Napoleon Bonaparte (1769–1821; leader of the French Republic 1799-1804 & Emperor of the French from 1804-1814 & 1815) at Waterloo in 1815, found a letter from the publisher John Joseph Stockdale (circa 1775-1847) which can’t have been pleasant reading.  Stockdale was attempting blackmail, advising the duke he was about to publish Miss Wilson’s revelations which contained “various anecdotes” of Wellington which “it would be most desirable to withhold” and that could be arranged were payment to be made.

Duke of Wellington (1816) by Sir Thomas Lawrence (1769-1830).

The duke's response was the famous “Publish and be damned!” reputedly scrawled across Stockdale’s letter and sent to him by return mail.  Publish Stockdale did, the book, a romp through the beds of the aristocracy appearing by installments before appearing in bookshops where it scandalized and thrilled London society although it would have been more salacious still had more of Stockdale’s blackmail victims had the fortitude of the iron duke and refused to pay.  An instant best-seller, the book went through thirty-one printings in a year and pirated copies were on-sale all over the continent but even without revenue from overseas sales the book was lucrative although the Stockdale was soon ruined by libel suits from those whose reputations had been traduced and Miss Wilson would eventually die in obscurity.

Riveting reading it may have been but so many of the libel actions against Stockdale were able to succeed in English courts because of the many errors of detail and chronology but historians nevertheless agree the narrative is substantially a reliable track of Miss Wilson’s adventures even if the sequence of events is sometimes misleading; to be fair, she had so many affairs it would be churlish not to allow for a little vagueness of recollection, one man presumably much the same as another after a while.  Whether “Publish and be damned!” in the duke’s own hand was ever written across the letter and sent back has never been confirmed because the original apparently hasn’t survived but there’s enough evidence from contemporaries to leave no doubt he certainly spoke the words but whatever she wrote of her time with Wellington, it must have been sufficiently truthful to convince the duke not to issue a writ for libel, despite at the time having threatened to sue “...if such rubbish is published”.

His marriage was already unhappy and the disclosures probably little surprised the duchess and the union endured until her death while the book clearly did no lasting harm to the duke's public reputation, the hero of Waterloo afforded some latitude in pre-Victorian England.  Within a decade of publication he would be prime minister and when he died in 1852, he was again a national hero and granted a state funeral, a rare distinction in England, unlike Australia where they’re given to reasonably successful football coaches and television personalities.  The phrase “Publish and be damned!” entered the language and was in 1953 used as the title of a book detailing the history of the Daily Mirror newspaper, a tabloid which once had its own interesting history.

To keep track of one's traductions, it's recommended a burn book be maintained.  Introduced to the world in Mean Girls (2004), "burn" in this context was used in the sense of "an insult, a disparaging statement" and, depending on one's motives, a burn book can either focus exclusively on one individual worthy of being burned (eg crooked Hillary Clinton) or be devoted to a villainous group (eg the Republican Party).  One of the attractions of a burn book is that nothing, however scurrilous, need be verified and heresy evidence is admissible (indeed it's probably obligatory).  Thus, accusations against someone of stuff like voting Tory, belonging to the Freemasons, enjoying sexual relations with certain vegetables & fruits (all three perhaps not unrelated), substance abuse or hoarding all belong in a burn book and, if selectively and anonymously leaked, reputations will be traduced.  The other utility a burn book offers is that nothing gets forgotten however great the volume, an important point for any traducer who likely will find someone like crooked Hillary will attract hundreds of entries.  Surely, Harriette Wilson kept a burn book.

Politicians do maintain burn books although few are much discussed.  Richard Nixon's (1913-1994; US president 1969-1974) "enemies list" became famous in 1973 when it emerged during congressional hearings enquiring into the Watergate break-in and that such a list existed surprised few although some did expect it to contain more names than the twenty included; it was common knowledge Nixon had many more enemies than that.  That view was vindicated when later lists were revealed (some containing hundreds of names) though had the net been cast a little wider, it could well have run to thousands.  At least one Eurocrat has also admitted to keeping a burn book although Jean-Claude Juncker (b 1954; president of the European Commission 2014-2019) calls his "little black book" Le Petit Maurice (little Maurice), the name apparently a reference to a contemporary from his school days who grew taller than the youthful Jean-Claude and seldom neglected to mention it.  Although maintained for some thirty years (including the eighteen spent as prime-minister of Luxembourg) to record the identities of those who crossed him, Mr Junker noted with some satisfaction it wasn't all that full because people “rarely betray me”, adding “I am not vengeful, but I have a good memory.”   It seems his warning “Be careful.  Little Maurice is waiting for you” was sufficient to ward of the betrayal and low skulduggery for which the corridors of EU institutions are renowned.

Trapezoid

Trapezoid (pronounced trap-uh-zoid)

(1) In British English, a quadrilateral plane figure having no parallel sides.

(2) In US English, a quadrilateral plane figure having two parallel and two non-parallel sides.

(3) In anatomy, a small bone in the wrist that is situated near the base of the index finger and that articulates with the second metacarpal, trapezium, capitate, and scaphoid bones.

1706: From the New Latin trapezoīdēs, from the Late Greek trapezoeidḗs (trapezium-like in shape), coined by the mathematician Euclid (4^th-3^rd century BC) from trapeze (literally “table”) + -oeides (shaped).  Originally it described a quadrilateral figure a quadrilateral figure having only two sides parallel, the purists insisting that describes a trapezium.  The terms trapezium and trapezoid have swapped meanings in North America compared with the rest of the world.  Trapezoid & trapezium are nouns, trapezoidal is an adjective; the noun plural is trapezoids or trapeziums depending on one's definition.

The trapezoid’s different definitions

Of all the squabbles in the world, one of the most improbably enduring concerns the definition of what constitutes a trapezoid.  Disagreements between mathematicians are of course not unusual and those involving the efficacy of this or that proof of some arcane have lasted sometimes centuries but differences over the definition of something basic are rare.  They do however happen.  It was once the case that in the UK the value of a billion was held to be a million millions, on the logical basis that a million was a thousand thousands.  The Americans decided that was silly because a number expressing a million millions was (at the time) of use only to cosmologists and argued, no less logically that to set a billion at a thousand millions would make it genuinely useful.  In the end, thankfully, the US view prevailed.

An irregular quadrilateral in the UK, a trapezium in the US (left); a trapezium in the UK, a trapezoid in the US (right).

But it seems strange there could be differences over what makes a trapezoid, a flat 2D shape with four straight sides.  Classically, it had one pair of parallel sides (usually the top and bottom); the parallel called the bases, the non-parallel the legs (the distance from one base to another is known as the altitude).  The faction which holds a trapezoid has only one pair of parallel sides (meaning they can never be parallelograms) adheres to what’s known as the exclusive definition.  The others (now in the majority) believe trapezoids have at least one pair of parallel sides, so they can be a special type of parallelogram and this is known as the inclusive definition which encompasses the “taxonomy of quadrilaterals” (an ordered group category of quadrilaterals (four-sided shapes)).  In the US and Canada a quadrilateral shape with at least one pair of parallel sides is known as a trapezoid. This is what is called a trapezium outside those countries

Fortunately, mathematicians everywhere agree there are three main types of trapezoids:

(1) The right trapezoid (a shape with a pair of right angles).
(2) Isosceles trapezoid (a shape in which the non-parallel sides have the same length).
(3) Scalene trapezoid (a shape where all four sides are of unequal length).

Peugeot 504 with the original “trapezoid” headlamp lens (left), the four-lamp arrangement used in the US, Australia (after 1973) and some export markets (centre) and the single light adopted for the “poverty spec” & later utility models (right).

The Peugeot 504 in one form or another was in production for almost half a century, lasting from 1968 until 2006 although the mainstream (non-utility) models were discontinued in France in 1983.  A machine of extraordinary virtue which was refined enough for European roads yet sufficiently robust successfully to endure the harsh conditions often found in the former colonies of the old French Empire, it also gained an admiring audience in rural Australia where distances were vast, roads often rough and mechanics sometimes hard to find.  Among cars using a conventional suspension (no hydraulics, air bellows or other exotica), only Jaguar’s equally remarkable XJ6 (another debutante from 1968) could match its ride quality.  The 504’s headlights were often described as trapezoid but that was never true (on either side of the Atlantic) because not only were no two sides parallel, the outer was actually curved.  At most they could be could be thought trapezoidish or trapezoidesque but some were not even that.  As a means to assist in producing low-cost variants, some were made with a single, circular lamp instead cost-saving measure while versions with four (smaller) were offered in some markets.  In the US this was to satisfy laws introduced as an industry-protection measure while in Australia it was to assist in meeting the local content rules which offered taxation advantages for the assembly plants although the change was popular with rural buyers used to frequently broken lights on their unsealed roads, the round units cheap and available at every gas station or country store.  In November 2010, it was announced President Mahmoud Ahmadinejad (b 1956; president of the Islamic Republic or Iran 2005-2013) would be auctioning his 1977 Peugeot 504 to raise money for a charity dedicated to providing affordable housing for low-income families.  With low mileage and said to be in immaculate condition, there was much interest and what proved to be the most expensive 504 ever made was sold in march 2011 to the highest bidder for US$2.5 million.

Peugeot 504 Coupé: The early headlamp treatment (1969-1974, left) and the later (1974-1983, centre).  The 2018 Peugeot E-Legend concept car (right).

The rather lovely 504 coupé & cabriolet (1969-1983) both eschewed the trapezoidesque, the early versions using four lamps sometimes described a “quartic” but, being rectangles with rounded ends, they’re actually closer to what mathematicians call a “stadium”.  Later models used essentially the same internals but were mounted behind a single lens in a shape called a “rounded rectangle”.  Although not quintessentially “French” like the classic Citroëns (DS, GS, SM, CX), the 504 coupé & cabriolet were elegant and capable and it a shame the French industry had produced nothing to match them in recent decades.  Peugeot’s designers however seem aware of the appeal and in 2018 displayed their E-Legend concept car, an attractive take on the 504 coupé’s lines.  Nothing like it ever reached production and the range remained dreary and predictable.

The trapezoid is a widely used shape for handbags.  Noted handbag fan Lindsay Lohan demonstrates some of the variations.