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An ogee ( ) is the name given to objects, elements, and
curve In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be thought of as the trace left by a moving point. This is the definition that ...
s—often seen in
architecture Architecture is the art and technique of designing and building, as distinguished from the skills associated with construction. It is both the process and the product of sketching, conceiving, planning, designing, and constructing buildings ...
and building trades—that have been variously described as serpentine-, extended S-, or
sigmoid Sigmoid means resembling the lower-case Greek letter sigma (uppercase Σ, lowercase σ, lowercase in word-final position ς) or the Latin letter S. Specific uses include: * Sigmoid function, a mathematical function * Sigmoid colon, part of the ...
-shaped. Ogees consist of a "double curve", the combination of two
semicircular In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180° (equivalently, radians, or a half-turn). It has only one line ...
curves or arcs that, as a result of a
point of inflection In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (British English: inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case of ...
from
concave Concave or concavity may refer to: Science and technology * Concave lens * Concave mirror Mathematics * Concave function, the negative of a convex function * Concave polygon A simple polygon that is not convex is called concave, non-convex or ...
to
convex Convex or convexity may refer to: Science and technology * Convex lens, in optics Mathematics * Convex set, containing the whole line segment that joins points ** Convex polygon, a polygon which encloses a convex set of points ** Convex polyto ...
or ''vice versa'', have ends of the overall curve that point in opposite directions (and have tangents that are approximately parallel). First seen in textiles in the 12th century, the use of ogee elements—in particular, in the design of arches—has been said to characterise various Gothic and
Gothic Revival Gothic Revival (also referred to as Victorian Gothic, neo-Gothic, or Gothick) is an architectural movement that began in the late 1740s in England. The movement gained momentum and expanded in the first half of the 19th century, as increasingly ...
architectural styles. The shape has many such uses in
architecture Architecture is the art and technique of designing and building, as distinguished from the skills associated with construction. It is both the process and the product of sketching, conceiving, planning, designing, and constructing buildings ...
from those periods to the present day, including in the ogee arch in these architectural styles, where two ogees oriented as mirror images compose the sides of the arch, and in decorative molding designs, where single ogees are common profiles (see opening image). The term is also used in marine construction. The word was sometimes abbreviated as o-g as early as the 18th century, and in
millwork Millwork is historically any wood mill produced decorative materials used in building construction. Stock profiled and patterned millwork building components fabricated by milling at a planing mill can usually be installed with minimal alte ...
trades associated with building construction, ogee is still sometimes written similarly (e.g., as O.G.).


Use in architecture


Ogee arch

In architecture, the principal use of the term is to describe an
arch An arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it, or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it. Arches may be synonymous with vault ...
composed of two ogees, mirrored left-to-right and meeting at an apex. First seen in textiles in the 1100s CE, the use of ogee elements, and in particular in the design of arches, has been said to characterise
Venetian Gothic Venetian Gothic is the particular form of Italian Gothic architecture typical of Venice, originating in local building requirements, with some influence from Byzantine architecture, and some from Islamic architecture, reflecting Venice's trading ...
and
Gothic Revival Gothic Revival (also referred to as Victorian Gothic, neo-Gothic, or Gothick) is an architectural movement that began in the late 1740s in England. The movement gained momentum and expanded in the first half of the 19th century, as increasingly ...
architectural styles. Ogee windows and arches were introduced to European cities from the
Middle East The Middle East ( ar, الشرق الأوسط, ISO 233: ) is a geopolitical region commonly encompassing Arabia (including the Arabian Peninsula and Bahrain), Asia Minor (Asian part of Turkey except Hatay Province), East Thrace (Europea ...
, probably via
Venetian Gothic architecture Venetian Gothic is the particular form of Italian Gothic architecture typical of Venice, originating in local building requirements, with some influence from Byzantine architecture, and some from Islamic architecture, reflecting Venice's trading ...
. In particular, the ogee characterises
Gothic architecture Gothic architecture (or pointed architecture) is an architectural style that was prevalent in Europe from the late 12th to the 16th century, during the High and Late Middle Ages, surviving into the 17th and 18th centuries in some areas. It ...
, especially in late Gothic decorative elements of the 14th and 15th century—styles called
Flamboyant Flamboyant (from ) is a form of late Gothic architecture that developed in Europe in the Late Middle Ages and Renaissance, from around 1375 to the mid-16th century. It is characterized by double curves forming flame-like shapes in the bar-tr ...
in France, and Decorated in England. In these, the usual pointed
lancet arch Gothic architecture (or pointed architecture) is an architectural style that was prevalent in Europe from the late 12th to the 16th century, during the High and Late Middle Ages, surviving into the 17th and 18th centuries in some areas. It ...
with a single curve to each side is supplemented by ogee arches, especially in windows. Ogee arches were also a feature of
English Gothic architecture English Gothic is an architectural style that flourished from the late 12th until the mid-17th century. The style was most prominently used in the construction of cathedrals and churches. Gothic architecture's defining features are pointed a ...
in the later thirteenth century. Honour, H. and J. Fleming, (2009) ''A World History of Art''. 7th edn. London: Laurence King Publishing, p. 391.


Moulding

A building's surface detailing, inside and outside, often includes
decorative moulding Moulding (spelled molding in the United States), or coving (in United Kingdom, Australia), is a strip of material with various profiles used to cover transitions between surfaces or for decoration. It is traditionally made from solid milled woo ...
, and these often contain ogee-shaped profiles—consisting (from low to high) of a
concave Concave or concavity may refer to: Science and technology * Concave lens * Concave mirror Mathematics * Concave function, the negative of a convex function * Concave polygon A simple polygon that is not convex is called concave, non-convex or ...
arc flowing into a
convex Convex or convexity may refer to: Science and technology * Convex lens, in optics Mathematics * Convex set, containing the whole line segment that joins points ** Convex polygon, a polygon which encloses a convex set of points ** Convex polyto ...
arc, with vertical ends; if the lower curve is convex and higher one concave, this is known as a Roman ogee, although frequently the terms are used interchangeably and for a variety of other shapes. Alternative names for such a true Roman ogee moulding include '' cyma reversa'' and ''talon''. The ogee curve is an analogue of a " cyma curve", the difference being that a cyma, or "
cyma recta Moulding (spelled molding in the United States), or coving (in United Kingdom, Australia), is a strip of material with various profiles used to cover transitions between surfaces or for decoration. It is traditionally made from solid milled woo ...
", has horizontal rather than vertical ends. The cyma reversa form occurs in antiquity. For example, in ancient
Persia Iran, officially the Islamic Republic of Iran, and also called Persia, is a country located in Western Asia. It is bordered by Iraq and Turkey to the west, by Azerbaijan and Armenia to the northwest, by the Caspian Sea and Turkmeni ...
, the
Tomb of Cyrus The Tomb of Cyrus ( – ''Ârâmgâh ye Kuroš Bozorg'') is the final resting place of Cyrus the Great, the founder of the ancient Achaemenid Empire. The mausoleum is located in Pasargadae, an archaeological site in the Fars Province of Iran. I ...
featured the cyma reversa. The cyma reversa is also evident in
ancient Greek architecture Ancient Greek architecture came from the Greek-speaking people (''Hellenic'' people) whose culture flourished on the Greek mainland, the Peloponnese, the Aegean Islands, and in colonies in Anatolia and Italy for a period from about 900 BC un ...
, and takes its name from the cymatium. The ogee and Roman ogee profiles are used in decorative moulding, often framed between mouldings with a square section. As such, it is part of the standard classical decorative vocabulary, adopted from architrave and cornice mouldings of the
Ionic order The Ionic order is one of the three canonic orders of classical architecture, the other two being the Doric and the Corinthian. There are two lesser orders: the Tuscan (a plainer Doric), and the rich variant of Corinthian called the composite ...
and
Corinthian order The Corinthian order (Greek: Κορινθιακός ρυθμός, Latin: ''Ordo Corinthius'') is the last developed of the three principal classical orders of Ancient Greek architecture and Roman architecture. The other two are the Doric order ...
. Ogees are also often used in building interiors, in trim carpentry, for capping a
baseboard In architecture, a baseboard (also called skirting board, skirting, wainscoting, mopboard, trim, floor molding, or base molding) is usually wooden or vinyl board covering the lowest part of an interior wall. Its purpose is to cover the joint b ...
or plinth elements, as a
crown moulding Crown moulding is a form of cornice created out of decorative moulding installed atop an interior wall. It is also used atop doors, windows, pilasters and cabinets. Historically made of plaster or wood, modern crown moulding installation ma ...
trim piece where a wall meets a ceiling, and in similar fashion, at the tops of pieces of case furniture.


Other uses

Ogee is also a mathematical term, meaning an
inflection point In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (British English: inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case o ...
. In
fluid mechanics Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and bio ...
, the term is used to refer to
aerodynamic Aerodynamics, from grc, ἀήρ ''aero'' (air) + grc, δυναμική (dynamics), is the study of the motion of air, particularly when affected by a solid object, such as an airplane wing. It involves topics covered in the field of fluid dyn ...
profiles that bear such shapes, e.g., as in the ogee profile of the Concorde supersonic aircraft. As well, ogee curves are used to minimize water pressure on the downstream face of a dam
spillway A spillway is a structure used to provide the controlled release of water downstream from a dam or levee, typically into the riverbed of the dammed river itself. In the United Kingdom, they may be known as overflow channels. Spillways ensure th ...
. In aesthetic facial surgery, the term is used to describe the malar or cheekbone prominence transitioning into the mid-cheek hollow. The aim of a mid-face rejuvenation is to restore the ogee curve and enhance the cheekbones, common parts of routine
facelift A facelift, technically known as a rhytidectomy (from the Ancient Greek () "wrinkle", and () "excision", the surgical removal of wrinkles), is a type of cosmetic surgery procedure used to give a more youthful facial appearance. There are mult ...
surgery.


Manufactured objects with the ogee description

Ogee is the name given to bubble-shaped chambers of
pot still A pot still is a type of distillation apparatus or still used to distill liquors such as whisky or brandy. In modern (post-1850s) practice, they are not used to produce rectified spirit, because they do not separate congeners from ethanol as ef ...
s that connects the swan neck to the still pot, in
distillation apparatus A still is an apparatus used to distill liquid mixtures by heating to selectively boil and then cooling to condense the vapor. A still uses the same concepts as a basic distillation apparatus, but on a much larger scale. Stills have been used ...
, that allow
distillate Distillation, or classical distillation, is the process of separating the components or substances from a liquid mixture by using selective boiling and condensation, usually inside an apparatus known as a still. Dry distillation is the heating ...
to expand, condense, and fall back into the still pot. "Ogee washers" are heavy washers used in fasteners that have a large load-bearing surface; they are used in marine timber construction to prevent bolt heads or nuts from sinking into the face of timbers. The term ogee is used to describe the ogee shape giving rise to radial symmetry around the centre of the washer. Due to the size and shape of such washers, they are generally manufactured as a cast iron product (in accordance with ASTM A47 or A48). "Ogee clocks" were a common type of weight-driven 19th-century
pendulum clock A pendulum clock is a clock that uses a pendulum, a swinging weight, as its timekeeping element. The advantage of a pendulum for timekeeping is that it is a harmonic oscillator: It swings back and forth in a precise time interval dependent on i ...
presented in a simplified Gothic style, with the original design attributed to
Chauncey Jerome Chauncey Jerome (1793–1868) was an American clockmaker in the early 19th century. He made a fortune selling his clocks, and his business grew quickly. However, his company failed in 1856, and he died in poverty. Early life He was born in Cana ...
. Ogee clocks were typically made in the United States, as mantelpieces or to mount to a wall bracket, and are one of the most commonly encountered varieties of American antique clocks. The overall design was rectangular, with framing by moulding with an ogee-profile surrounding a central glass door with a painted scene below the clock face, a door that protected the clock face and pendulum. Weights supported by pulleys fell inside the ogee moulding and so were hidden from view.


See also

*
Ogive An ogive ( ) is the roundly tapered end of a two-dimensional or three-dimensional object. Ogive curves and surfaces are used in engineering, architecture and woodworking. Etymology The earliest use of the word ''ogive'' is found in the 13th c ...
*
Line of Beauty Line of beauty is a term and a theory in art or aesthetics used to describe an S-shaped curved line (a serpentine line) appearing within an object, as the boundary line of an object, or as a virtual boundary line formed by the composition of s ...


References


Further reading

* * Bill Owens, Bill & Dikty, Alan (2009) ''The Art of Distilling Whiskey'', p. 26. {{Woodworking Woodworking Arches and vaults