Gnomon Of Saint-Sulpice
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The Gnomon of Saint-Sulpice is an
astronomical Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, galaxi ...
measurement device located in the
Church of Saint-Sulpice , image = Paris Saint-Sulpice Fassade 4-5 A.jpg , image_size = , pushpin map = Paris , pushpin label position = , coordinates = , location = Place Saint-Sulpice 6th arrondi ...
(''Église Saint-Sulpice'') in
Paris Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Si ...
, France. It is a
gnomon A gnomon (; ) is the part of a sundial that casts a shadow. The term is used for a variety of purposes in mathematics and other fields. History A painted stick dating from 2300 BC that was excavated at the astronomical site of Taosi is the ...
, a device designed to cast a shadow on the ground in order to determine the position of the sun in the sky. In early modern times, other gnomons were also built in several Italian and French churches in order to better calculate astronomical events. Those churches are
Santa Maria del Fiore Santa Claus, also known as Father Christmas, Saint Nicholas, Saint Nick, Kris Kringle, or simply Santa, is a legendary figure originating in Western Christian culture who is said to bring children gifts during the late evening and overnigh ...
in
Florence Florence ( ; it, Firenze ) is a city in Central Italy and the capital city of the Tuscany region. It is the most populated city in Tuscany, with 383,083 inhabitants in 2016, and over 1,520,000 in its metropolitan area.Bilancio demografico ...
,
San Petronio The Basilica of San Petronio is a minor basilica and church of the Archdiocese of Bologna located in Bologna, Emilia Romagna, northern Italy. It dominates Piazza Maggiore. The basilica is dedicated to the patron saint of the city, Saint Petroni ...
in
Bologna Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different na ...
, and the Church of the Certosa in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
. These gnomons ultimately fell into disuse with the advent of powerful
telescope A telescope is a device used to observe distant objects by their emission, absorption, or reflection of electromagnetic radiation. Originally meaning only an optical instrument using lenses, curved mirrors, or a combination of both to obse ...
s.''The sun in the church: cathedrals as solar observatories'' J. L. Heilbron p.21

/ref>


Structure

The gnomon of Saint-Sulpice is composed of different parts that span the breadth of the
transept A transept (with two semitransepts) is a transverse part of any building, which lies across the main body of the building. In cruciform churches, a transept is an area set crosswise to the nave in a cruciform ("cross-shaped") building with ...
of the church. The Church itself is a huge building, the second largest church in Paris after
Notre-Dame de Paris Notre-Dame de Paris (; meaning "Our Lady of Paris"), referred to simply as Notre-Dame, is a Middle Ages#Art and architecture, medieval Catholic cathedral on the Île de la Cité (an island in the Seine River), in the 4th arrondissement of Paris ...
. The system is first built around a meridian, a line which is strictly oriented along the north-south axis, represented by a brass line set in a strip of white marble on the floor of the church. This is not the
Paris Meridian The Paris meridian is a meridian line running through the Paris Observatory in Paris, France – now longitude 2°20′14.02500″ East. It was a long-standing rival to the Greenwich meridian as the prime meridian of the world. The "Paris meri ...
, established by
Louis XIV Louis XIV (Louis Dieudonné; 5 September 16381 September 1715), also known as Louis the Great () or the Sun King (), was List of French monarchs, King of France from 14 May 1643 until his death in 1715. His reign of 72 years and 110 days is the Li ...
in 1667, which is located a few hundred metres to the east and goes through the
Observatory of Paris The Paris Observatory (french: Observatoire de Paris ), a research institution of the Paris Sciences et Lettres University, is the foremost astronomical observatory of France, and one of the largest astronomical centers in the world. Its histor ...
. The
sun The Sun is the star at the center of the Solar System. It is a nearly perfect ball of hot plasma, heated to incandescence by nuclear fusion reactions in its core. The Sun radiates this energy mainly as light, ultraviolet, and infrared radi ...
light passes through a small round opening in the southern stained-glass window of the transept, at a height of 25 metres, forming a small light disk on the floor; this disk will cross the meridian each time the sun reaches its
zenith The zenith (, ) is an imaginary point directly "above" a particular location, on the celestial sphere. "Above" means in the vertical direction ( plumb line) opposite to the gravity direction at that location ( nadir). The zenith is the "high ...
at
true noon Noon (or midday) is 12 o'clock in the daytime. It is written as 12 noon, 12:00 m. (for meridiem, literally 12:00 noon), 12 p.m. (for post meridiem, literally "after noon"), 12 pm, or 12:00 (using a 24-hour clock) or 1200 (military time). Solar ...
.Rougé, pp.5-6 The sun will cross different parts of the meridian depending the time of year, as the sun will be more or less high in the sky at noon. A point on the meridian is marked with a gold disk which shows the position of the sun at an
equinox A solar equinox is a moment in time when the Sun crosses the Earth's equator, which is to say, appears directly above the equator, rather than north or south of the equator. On the day of the equinox, the Sun appears to rise "due east" and se ...
. It is located right in front of the
altar An altar is a table or platform for the presentation of religious offerings, for sacrifices, or for other ritualistic purposes. Altars are found at shrines, temples, churches, and other places of worship. They are used particularly in pagan ...
. At one end of the meridian is a square marble plaque, which corresponds to the position of the sun at the highest at midday (64°35' at the location of Saint-Sulpice), during the
summer solstice The summer solstice, also called the estival solstice or midsummer, occurs when one of Earth's poles has its maximum tilt toward the Sun. It happens twice yearly, once in each hemisphere (Northern and Southern). For that hemisphere, the summer ...
about 21 June. At the other end is an
obelisk An obelisk (; from grc, ὀβελίσκος ; diminutive of ''obelos'', " spit, nail, pointed pillar") is a tall, four-sided, narrow tapering monument which ends in a pyramid-like shape or pyramidion at the top. Originally constructed by An ...
, which is lit near its top when the sun is at it lowest at midday (17°42' at the location of Saint-Sulpice). If the obelisk did not exist, the sun disk would hit an area about 20 metres beyond the wall of the church.


Usage of the gnomon

The gnomon was built at the initiative of
Jean-Baptiste Languet de Gergy Jean-Baptiste Languet de Gergy (1674–1750) was parish priest at Eglise Saint-Sulpice in Paris from 1714 to 1748. He was the initiator of the construction of the Gnomon of Saint-Sulpice.Rougé, p.7-12 Biography Languet de Gergy initially wish ...
, the parish priest at Saint-Sulpice from 1714 to 1748.Rougé, pp.7-12''The real history behind the Da Vinci code'' Sharan Newman p.267
/ref> Languet de Gergy initially wished to establish the exact astronomical time in order to ring the bells at the most appropriate time of day. For this, he commissioned the English clockmaker
Henry Sully Henry may refer to: People *Henry (given name) * Henry (surname) * Henry Lau, Canadian singer and musician who performs under the mononym Henry Royalty * Portuguese royalty ** King-Cardinal Henry, King of Portugal ** Henry, Count of Portugal, ...
to build the gnomon. The gnomon could also have been used to properly time
clocks A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the ...
by properly defining mean time. Mean time (the time used in clocks) is only an average of true time (the time deduced from the apparent motions of the Sun in the sky, and shown, approximately, by a sundial). True time deviates from the mechanical average of a clock by as much as +/-16 minutes throughout the year. These variations are codified in the
equation of time In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in F ...
. Henry Sully however died in 1728 without being able to accomplish this larger project. He was only able to set the meridian line in the floor of the Church. The project was completed by the nearby
Observatory of Paris The Paris Observatory (french: Observatoire de Paris ), a research institution of the Paris Sciences et Lettres University, is the foremost astronomical observatory of France, and one of the largest astronomical centers in the world. Its histor ...
a year later.


Computation of official time

The time the sun disk crosses the Saint-Sulpice meridian gives the "true" local midday at that place. In order to compute the official French time from this, it is necessary to: * add or subtract the deviation given by the
equation of time In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in F ...
. * add half a second to have the mean Paris time. * add 50 minutes 39 seconds to obtain
Central European Time Central European Time (CET) is a standard time which is 1 hour ahead of Coordinated Universal Time (UTC). The time offset from UTC can be written as UTC+01:00. It is used in most parts of Europe and in a few North African countries. CE ...
. * add one hour in summer to take into account
daylight saving time Daylight saving time (DST), also referred to as daylight savings time or simply daylight time (United States, Canada, and Australia), and summer time (United Kingdom, European Union, and others), is the practice of advancing clocks (typicall ...
. Alternatively, a simpler solution would be to consult an
almanac An almanac (also spelled ''almanack'' and ''almanach'') is an annual publication listing a set of current information about one or multiple subjects. It includes information like weather forecasts, farmers' planting dates, tide tables, and othe ...
giving the time of sunrise and sundown, calculate the middle point of that time-span, corresponding to the maximum elevation of the sun. This gives the official time at which the sun reaches it maximum elevation, and therefore the time the sun disk crosses the Saint-Sulpice meridian.


Computation of the Paschal equinox

After this first attempt, Languet de Gergy resumed the project in 1742, this time with the objective of properly defining the
Easter Easter,Traditional names for the feast in English are "Easter Day", as in the '' Book of Common Prayer''; "Easter Sunday", used by James Ussher''The Whole Works of the Most Rev. James Ussher, Volume 4'') and Samuel Pepys''The Diary of Samue ...
Equinox A solar equinox is a moment in time when the Sun crosses the Earth's equator, which is to say, appears directly above the equator, rather than north or south of the equator. On the day of the equinox, the Sun appears to rise "due east" and se ...
.Rougé, pp.10-14 The task was given to Pierre-Charles Le Monnier, member of the
French Academy of Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research. It was at ...
. The inscription at the base of the
obelisk An obelisk (; from grc, ὀβελίσκος ; diminutive of ''obelos'', " spit, nail, pointed pillar") is a tall, four-sided, narrow tapering monument which ends in a pyramid-like shape or pyramidion at the top. Originally constructed by An ...
mentions Charles Claude Le Monnier, as well as the mission of the gnomon in
Latin Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
: ''"Ad Certam Paschalis Æquinoctii Explorationem"'' ("To determine precisely the Paschal Equinox"). The dating of
Easter Easter,Traditional names for the feast in English are "Easter Day", as in the '' Book of Common Prayer''; "Easter Sunday", used by James Ussher''The Whole Works of the Most Rev. James Ussher, Volume 4'') and Samuel Pepys''The Diary of Samue ...
was modeled on that of the Jewish
Passover Passover, also called Pesach (; ), is a major Jewish holiday that celebrates the Biblical story of the Israelites escape from slavery in Egypt, which occurs on the 15th day of the Hebrew month of Nisan, the first month of Aviv, or spring. ...
, which marks the liberation of the Jews from Egypt and which traditionally falls in the
Jewish lunar calendar The Hebrew calendar ( he, הַלּוּחַ הָעִבְרִי, translit=HaLuah HaIvri), also called the Jewish calendar, is a lunisolar calendar used today for Jewish religious observance, and as an official calendar of the state of Israel. ...
on the 14th of the month of
Nisan Nisan (or Nissan; he, נִיסָן, Standard ''Nīsan'', Tiberian ''Nīsān''; from akk, 𒊬𒊒𒄀 ''Nisanu'') in the Babylonian and Hebrew calendars is the month of the barley ripening and first month of spring. The name of the month i ...
, the day of the first full moon after the vernal (spring) equinox. Roman Christians however had a twelve-month calendar, first the
Julian calendar The Julian calendar, proposed by Roman consul Julius Caesar in 46 BC, was a reform of the Roman calendar. It took effect on , by edict. It was designed with the aid of Greek mathematicians and astronomers such as Sosigenes of Alexandri ...
until 1582, and then the
Gregorian calendar The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years d ...
. Since the Council of Nicaea in 325, the Western Church had required that Easter be celebrated on the Sunday on or after the full moon following March 21, which at that time corresponded indeed to the vernal equinox. The Julian calendar being imprecise however, by the 16th century March 21 fell about 10 days ''after'' the vernal equinox, a problem that was solved by the introduction of the Gregorian calendar. (The Eastern Christian Church continues to date Easter by the Julian calendar.) Languet de Gergy, however, wished to verify independently the exact date of the vernal equinox through the gnomon in order to ascertain the date of Easter.


Obliquity of the ecliptic

Le Monnier further used the gnomon from 1744 to establish the variations of the
ecliptic The ecliptic or ecliptic plane is the orbital plane of the Earth around the Sun. From the perspective of an observer on Earth, the Sun's movement around the celestial sphere over the course of a year traces out a path along the ecliptic agains ...
, or the variations in the obliquity of the Earth's axis. The endeavor is recorded on the plaque at the southern end of the meridian, in the South transept: ''"Pro nutatione axios terren. obliquitate eclipticae"'' ("for the
nutation Nutation () is a rocking, swaying, or nodding motion in the axis of rotation of a largely axially symmetric object, such as a gyroscope, planet, or bullet in flight, or as an intended behaviour of a mechanism. In an appropriate reference frame ...
of the earth's axis and the obliquity of the ecliptic"). As mentioned on a brass plaque that covered the stone plaque, the obliquity of the ecliptic was 23°28'40".69 in 1744. From 1745 to 1791, Le Monnier visited Saint-Suplice at each summer solstice and, focusing the light with a lens fixed to the opening in the stained-glass window so as to produce a sharp image of the sun on the floor, noted the exact position of the image at noon. From these observations, he calculated a variation of the obliquity of 45" per century (the exact figure is 46".85 per century).


Perihelion

The gnomon also permitted the determination of the date of the earth's
perihelion An apsis (; ) is the farthest or nearest point in the orbit of a planetary body about its primary body. For example, the apsides of the Earth are called the aphelion and perihelion. General description There are two apsides in any elli ...
(the moment the earth is closest to the sun in its elliptical trajectory around the sun), by measuring the size of the image of the sun cast on the obelisk and finding the time when it was largest. Perihelion occurs close to the winter solstice, during the period of the year when the sun's image at noon is on the obelisk, rather than on the floor of the church.


Interpretations

Some interpretations of the gnomon at Saint-Sulpice give it an occult meaning. The author
Dan Brown Daniel Gerhard Brown (born June 22, 1964) is an American author best known for his thriller novels, including the Robert Langdon novels ''Angels & Demons'' (2000), '' The Da Vinci Code'' (2003), ''The Lost Symbol'' (2009), '' Inferno'' (2013), ...
in ''
The Da Vinci Code ''The Da Vinci Code'' is a 2003 mystery thriller novel by Dan Brown. It is Brown's second novel to include the character Robert Langdon: the first was his 2000 novel ''Angels & Demons''. ''The Da Vinci Code'' follows symbologist Robert Lang ...
'' describes it as ''"a pagan astronomical instrument (...) an ancient sundial of sorts, vestige of the pagan temple that had once stood on this very spot"'', despite an early modern building date of 1714, and the fact that it is an astronomical device with nothing especially pagan about it. Brown also qualifies the obelisk as "Egyptian" despite its recent date of manufacture in 1743: ''"a most unexpected structure, a colossal Egyptian obelisk"''. He also equates the Saint-Sulpice meridian with the
Paris Meridian The Paris meridian is a meridian line running through the Paris Observatory in Paris, France – now longitude 2°20′14.02500″ East. It was a long-standing rival to the Greenwich meridian as the prime meridian of the world. The "Paris meri ...
, although they are different, being several hundred meters apart: ''"Long before the establishment of Greenwhich as the prime meridian, the zero longitude had passed through Paris and through the Church of Saint-Sulpice"''.Rougé, pp.15-19 The building of the gnomon inside the Church of Saint-Sulpice occurred at a time when Rome was relaxing its stance against the theories of
Galileo Galilei Galileo di Vincenzo Bonaiuti de' Galilei (15 February 1564 – 8 January 1642) was an Italian astronomer, physicist and engineer, sometimes described as a polymath. Commonly referred to as Galileo, his name was pronounced (, ). He wa ...
, as his works were being printed in Rome with the agreement of the
Holy See The Holy See ( lat, Sancta Sedes, ; it, Santa Sede ), also called the See of Rome, Petrine See or Apostolic See, is the jurisdiction of the Pope in his role as the bishop of Rome. It includes the apostolic episcopal see of the Diocese of R ...
, and in 1757 the Pope removed the works of Galileo from the '' Index Librorum Prohibitorum''.


Santa Maria degli Angeli e dei Martiri

A similar gnomon built to calculate the exact date of Easter also exists in the
Santa Maria degli Angeli e dei Martiri The Basilica of St. Mary of the Angels and of the Martyrs ( la, Beatissimae Virginis et omnium Angelorum et Martyrum, it, Santa Maria degli Angeli e dei Martiri) is a basilica and titular church in Rome, Italy, built inside the ruined ''frigida ...
in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
. Commissioned by Pope Clement XI, it was designed by Francesco Bianchini and completed in 1702.J. L. Heilbron, ''The Sun In The Church: Cathedrals As Solar Observatories'', page 148 (Harvard University Press, 1999).


See also

*
Astronomical clock An astronomical clock, horologium, or orloj is a clock with special mechanisms and dials to display astronomical information, such as the relative positions of the Sun, Moon, zodiacal constellations, and sometimes major planets. Definition ...


Notes


References

*Rougé, Michel ''The Gnomon of the Church of Saint-Sulpice'', Church of Saint-Sulpice, Paris, 2009. {{coord, 48, 51, 3.5, N, 2, 20, 5.7, E, type:landmark_region:FR_dim:63, display=title Astronomical instruments Buildings and structures in Paris Buildings and structures in the 6th arrondissement of Paris