Parabola

Parabola (pronounced puh-rab-uh-luh)

(1) In geometry, a plane curve formed by the intersection of a right circular cone with a plane parallel to a generator of the cone; the set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane. Equation: y2 = 2px or x2 = 2py.

(2) In rhetoric, the explicit drawing of a parallel between two essentially dissimilar things, especially with a moral or didactic purpose; a parable.

1570s: From the Modern Latin parabola, from the Late Greek παραβολή (parabolḗ) (a comparison; a setting alongside; parable (literally "a throwing beside" hence "a juxtaposition") so called by Apollonius of Perga circa 210 BC because it is produced by "application" of a given area to a given straight line.  The Greek parabolḗ was derived from παραβάλλω (parabállō) (I set side by side”), from παρά (pará) (beside) + βάλλω (bállō) (I throw); a doublet of parable, parole, and palaver.  It had a different sense in Pythagorean geometry.  The adjectival form parabolic (figurative, allegorical, of or pertaining to a parable) from the Medieval Latin parabolicus from the Late Greek parabolikos (figurative) from parabolē (comparison) is now probably the most widely used.  In geometry, in the sense of “pertaining to a parabola”, it’s been in use since 1702.  A parabola is a curve formed by the set of points in a plane that are all equally distant from both a given line (called the directrix) and a given point (called the focus) that is not on the line.  It’s best visualised as a shape consisting of a single bend and two lines going off to an infinite distance.

Monza

On the Monza banking: Maserati 250F (left), Ferrari F555 Supersqualo (centre) & Vanwall VW2 (right).

The Autodromo Nazionale di Monza (National Automobile Racetrack of Monza) is now the fastest circuit still used in Formula One, the highest recorded speed the 231.5 mph (372.6 km/h) attained during qualifying for the 2005 Italian Grand Prix by a McLaren-Mercedes MP4-20 (in qualifying trim) on the long straight between the Lesmo corners and the Variante del Rettifilo.  Built in 1922, the Italian Grand Prix has been held there every year since 1949 except in 1980 when the track was being modernised and it’s a wonder the track has survived the attention of the Fédération Internationale de l'Automobile (the FIA; the International Automobile Federation).  Once an admirable body, the FIA has in recent decades degenerated into international sport’s dopiest regulatory body and has for some yers attempted to make motorsport as slow, quiet and processional as possible, issues like DEI (diversity, equity and inclusion) now apparently more important than quality of racing.  Set in the Royal Villa of Monza park and surrounded by forest, the complex is configured as three tracks: the 3.6 mile (5.8 kilometre) Grand Prix track, the 1.5 mile (2.4 kilometre) short circuit and the 2.6 mile (4.3 kilometre) high speed oval track with its famous steep bankings which was unused for decades left to fall into disrepair before it was restored in the 2010s.  The major features of the main Grand Prix track include the Curva Grande, the Curva di Lesmo, the Variante Ascari and the famous Curva Parabolica.

On the parabolica: 1966 Italian Grand Prix.

The Curva Parabolica (universally known as “the parabolica”) is the circuit’s signature corner, an increasing radius, long right-hand turn and the final corner before the main straight so the speed one can attain on the straight is determined essentially by the exit speed from the the parabolica; a perfect execution is thus essential for a quick lap.  Although in motorsport it’s common to discuss the lengths of straights, one notable statistic is that even at close to 150 mph (200 km/h) speed with with the fastest cars take the curve, to transit the the parabolica takes just over 7.6 seconds.  Improvements to both the cars and the circuit means it’s now a less dangerous place but many drivers have died in accidents at Monza, some on or approaching the parabolica including Wolfgang (Taffy) von Trips (1928–1961) and Jochen Rindt (1942-1970).  In 2021, the Monza authorities announced the parabolica officially would be renamed “Curva in honor of former Ferrari factory driver Michele Alboreto (1956-2001) who to date remains the last Italian driver to win a Formula One Grand Prix for Scuderia Ferrari.  It’s likely most will still refer to the curve as “the parabolica”.

The Monza circuit in its configuration for the 1955 Italian Grand Prix (left) and a Mercedes-Benz W196R (streamliner) exiting the parabolica ahead of two W196Rs in conventional open-wheel configuration.  The 1955 Italian Grand Prix was the seventh and final round of the World Championship of Drivers, the French, German, Swiss and Spanish events all cancelled in the aftermath of the disaster at Le Mans.  It was the fourth and last appearance of the Mercedes-Benz W196R streamliners which, after some bad experiences on the relatively tight Silverstone circuit, were restricted to the fast, open tracks.  Mercedes-Benz also withdrew from top-level competition after 1955 and, as a constructor, it would be half a century before they returned to Grand Prix racing.

The parabolic arc: A wheel drops off a Boeing Dreamlifter on take-off, describing a a classic parabolic arc.  The Boeing 747-400 Large Cargo Freighters (LCF) were created using a modified 747-400 airline frame and were most associated with their use carrying Boeing 787 Dreamliner parts between the US, Italy & Japan.  It was an unusual configuration in that it was required to carry components which while large, weren't particularly heavy.