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Christiaan Huygens

 
Christiaan Huygens

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Christiaan Huygens



 
 
Christiaan Huygens ( in English, in Dutch
Dutch language

Dutch is a West Germanic languages spoken by over 22 million people as a first language, and about 5 million people as a second language."1% of the EU population claims to speak Dutch well enough in order to have a conversation." Outside the European Union the number of second language speakers of Dutch is very small. Most native...
) (April 14, 1629 – July 8, 1695) was a prominent Dutch
Netherlands

The Netherlands is a country that is part of the Kingdom of the Netherlands. It is a parliamentary democratic constitutional monarchy. The Netherlands is located in North-West Europe, and bordered by the North Sea to the north and west, Belgium to the south, and Germany to the east....
 mathematician
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, astronomer
Astronomer

An astronomer is a scientist who studies Celestial body such as planets, stars, and Galaxy.Historically, astronomy was more concerned with the classification and description of phenomena in the sky, while astrophysics attempted to explain these phenomena and the differences between them using physical laws....
, physicist
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
, and horologist
Horology

Horology is the art or science of measuring time. Clocks, watches, clockwork, Sundial, Clepsydra , Timer, Time recorder and marine chronometers are all examples of Measuring instruments used to measure time....
. His work included early telescopic studies, investigations and inventions related to time keeping, and studies of both optics
Optics

Optics is the study of the behavior and properties of light including its optical phenomena with matter and its imaging by optical instruments....
 and centrifugal force
Centrifugal force

In classical mechanics, centrifugal force is an outward force associated with rotation. Centrifugal force is one of several so-called pseudo-forces , so named because, unlike Fundamental interaction, they do not originate in interactions with other bodies situated in the environment of the particle upon which they act....
.

Life and work
Christiaan Huygens was born in The Hague
The Hague

The Hague is the third largest city in the Netherlands after Amsterdam and Rotterdam, with a population of 475,904 and an area of approximately 100 km?....
, the son of Constantijn Huygens
Constantijn Huygens

Constantijn Huygens was a The Netherlands poet and composer, Secretary to two Princes, and the father of the scientist Christiaan Huygens. He is often considered a member of what is known as the Muiderkring, a group of leading intellectuals gathered around Pieter Corneliszoon Hooft, who met regularly at the castle of Muiden near Amsterdam....
, a friend of René Descartes
René Descartes

Ren? Descartes , , also known as Renatus Cartesius , was a French philosophy, mathematician, scientist, and writer who spent most of his adult life in the Dutch Republic....
. Christiaan studied law and mathematics at the University of Leiden and the College of Orange in Breda
Breda

Breda is a municipality and a city in the southern part of the Netherlands. The name Breda derived from brede Aa and refers to the place where the rivers Mark and Aa River come together....
 before turning to science.

Huygens achieved note for his arguments that light
Light

Light, or visible light, is electromagnetic radiation of a wavelength that is Visible spectrum to the human eye , or up to 380?750 nm. In the broader field of physics, light is sometimes used to refer to electromagnetic radiation of all wavelengths, whether visible or not....
 consisted of wave
Wave

A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium , waves of electromagnetic radiation can travel through vacuum, that is, without a medium....
s, which became instrumental in the understanding of wave-particle duality.






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Christiaan Huygens ( in English, in Dutch
Dutch language

Dutch is a West Germanic languages spoken by over 22 million people as a first language, and about 5 million people as a second language."1% of the EU population claims to speak Dutch well enough in order to have a conversation." Outside the European Union the number of second language speakers of Dutch is very small. Most native...
) (April 14, 1629 – July 8, 1695) was a prominent Dutch
Netherlands

The Netherlands is a country that is part of the Kingdom of the Netherlands. It is a parliamentary democratic constitutional monarchy. The Netherlands is located in North-West Europe, and bordered by the North Sea to the north and west, Belgium to the south, and Germany to the east....
 mathematician
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, astronomer
Astronomer

An astronomer is a scientist who studies Celestial body such as planets, stars, and Galaxy.Historically, astronomy was more concerned with the classification and description of phenomena in the sky, while astrophysics attempted to explain these phenomena and the differences between them using physical laws....
, physicist
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
, and horologist
Horology

Horology is the art or science of measuring time. Clocks, watches, clockwork, Sundial, Clepsydra , Timer, Time recorder and marine chronometers are all examples of Measuring instruments used to measure time....
. His work included early telescopic studies, investigations and inventions related to time keeping, and studies of both optics
Optics

Optics is the study of the behavior and properties of light including its optical phenomena with matter and its imaging by optical instruments....
 and centrifugal force
Centrifugal force

In classical mechanics, centrifugal force is an outward force associated with rotation. Centrifugal force is one of several so-called pseudo-forces , so named because, unlike Fundamental interaction, they do not originate in interactions with other bodies situated in the environment of the particle upon which they act....
.

Life and work


Christiaan Huygens was born in The Hague
The Hague

The Hague is the third largest city in the Netherlands after Amsterdam and Rotterdam, with a population of 475,904 and an area of approximately 100 km?....
, the son of Constantijn Huygens
Constantijn Huygens

Constantijn Huygens was a The Netherlands poet and composer, Secretary to two Princes, and the father of the scientist Christiaan Huygens. He is often considered a member of what is known as the Muiderkring, a group of leading intellectuals gathered around Pieter Corneliszoon Hooft, who met regularly at the castle of Muiden near Amsterdam....
, a friend of René Descartes
René Descartes

Ren? Descartes , , also known as Renatus Cartesius , was a French philosophy, mathematician, scientist, and writer who spent most of his adult life in the Dutch Republic....
. Christiaan studied law and mathematics at the University of Leiden and the College of Orange in Breda
Breda

Breda is a municipality and a city in the southern part of the Netherlands. The name Breda derived from brede Aa and refers to the place where the rivers Mark and Aa River come together....
 before turning to science.

Huygens achieved note for his arguments that light
Light

Light, or visible light, is electromagnetic radiation of a wavelength that is Visible spectrum to the human eye , or up to 380?750 nm. In the broader field of physics, light is sometimes used to refer to electromagnetic radiation of all wavelengths, whether visible or not....
 consisted of wave
Wave

A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium , waves of electromagnetic radiation can travel through vacuum, that is, without a medium....
s, which became instrumental in the understanding of wave-particle duality. He generally receives credit for his role in the development of modern calculus
Calculus

Calculus is a branch of mathematics that includes the study of limit , derivatives, integrals, and infinite series, and constitutes a major part of modern university education....
 and his original observations on sound perception (see Repetition Pitch
Repetition pitch

An unexpected sensation of tonality or pitch often occurs in free nature when the sound of a sound source is reflected against a sound-reflecting surface and both the original and the repeated sound mix at the ear of an observer....
). In 1655, Huygens proposed that Saturn was surrounded by a solid ring, "a thin, flat ring, nowhere touching, and inclined to the ecliptic." Using a 50 power refracting telescope
Refracting telescope

A refracting or refractor telescope is a Dioptrics telescope that uses a lens as its Objective to form an image. The refracting telescope design was originally used in telescope and astronomical telescopes but is also used in other devices such as binoculars and long or Telephoto lens camera lenses....
 that he designed himself, Huygens also discovered the first of Saturn's moons, Titan
Titan (moon)

Titan or Saturn VI is the largest natural satellite of Saturn, the only moon known to have a dense celestial body atmosphere, and the only object other than Earth for which clear evidence of stable bodies of surface liquid has been found....
. In the same year he observed and sketched the Orion Nebula
Orion Nebula

The Orion Nebula is a diffuse nebula situated south of Orion 's Belt. It is one of the brightest nebulae, and is visible to the naked eye in the night sky....
. His drawing, the first such known of the Orion nebula, was published in Systema Saturnium in 1659. Using his modern telescope
Telescope

A telescope is an instrument designed for the observation of remote objects by the collection of electromagnetic radiation. The first known practically functioning telescopes were invented in the Netherlands at the beginning of the 17th century....
 he succeeded in subdividing the nebula into different star
Star

A star is a massive, luminous ball of Plasma that is held together by its own gravity. The nearest star to Earth is the Sun, which is the source of most of the energy on Earth....
s. (The brighter interior of the Orion Nebula bears the name of the Huygens Region in his honour.) He also discovered several interstellar nebulae
Nebula

A nebula is an interstellar cloud of cosmic dust, hydrogen gas and Plasma . Originally nebula was a general name for any extended astronomy astronomical object, including galaxy beyond the Milky Way ....
 and some double star
Double Star

Double Star is a science fiction novel by Robert A. Heinlein, first serialized in Astounding Science Fiction and published in hardcover the same year....
s. Huygens formulated what is now known as the second law of motion
Newton's laws of motion

Newton's laws of motion are three physical laws that form the basis for classical mechanics, Direct relationship the forces acting on a Physical body to the motion of the body....
 of Isaac Newton
Isaac Newton

Sir Isaac Newton, Fellow of the Royal Society was an English people physicist, mathematician, Astronomy, Natural philosophy, Alchemy, and Theology and one of the the 100 in human history....
 in a quadratic form. Newton reformulated and generalized that law.

After Blaise Pascal
Blaise Pascal

Blaise Pascal , was a France mathematician, physicist, and religion philosopher. He was a child prodigy who was educated by his father, a civil servant....
 encouraged him to do so, Huygens wrote the first book on probability theory
Probability theory

Probability theory is the branch of mathematics concerned with analysis of Statistical randomness phenomena. The central objects of probability theory are random variables, stochastic processes, and event s: mathematical abstractions of determinism events or measured quantities that may either be single occurrences or evolve over time in an a...
, which he had published in 1657.

He also worked on the construction of accurate clock
Clock

A clock is an instrument used for indicating and maintaining the time and passage thereof. The word clock is derived ultimately from the Celtic languages words clagan and clocca meaning "bell"....
s, suitable for naval navigation
Navigation

Navigation is the process of reading, and controlling the movement of a craft or vehicle from one place to another. It is also the term of art used for the specialized knowledge used by navigators to perform navigation tasks....
. In 1658 he published a book on this topic called Horologium. In fact his invention on Christmas 1656, the pendulum clock
Pendulum clock

A pendulum clock is a clock that uses a pendulum, a swinging weight, as its timekeeping element. From its invention in 1656 by Christiaan Huygens until the 1930s, the pendulum clock was the world's most accurate timekeeper, accounting for its widespread use....
 (patented 1657), was a breakthrough in timekeeping. Devices known as escapement
Escapement

In mechanical watches and clocks, an escapement is a device which converts continuous rotational motion into an Oscillatory or back and forth motion....
s regulate the rate of a watch
Watch

A watch is a timepiece that is made to be worn on a person. The term now usually refers to a wristwatch, which is worn on the wrist with a strap or bracelet....
 or clock
Clock

A clock is an instrument used for indicating and maintaining the time and passage thereof. The word clock is derived ultimately from the Celtic languages words clagan and clocca meaning "bell"....
, and the anchor escapement represented a major step in the development of accurate watches. Subsequent to this publication, Huygens discovered that the cycloid
Cycloid

A cycloid is the curve defined by the path of a point on the edge of circular wheel as the wheel rolls along a straight line.It is an example of a roulette , a curve generated by a curve rolling on another curve....
 was an isochronous curve
Tautochrone curve

A tautochrone or isochrone curve is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point....
 and, applied to pendulum clocks in the form of cycloidal cheeks guiding a flexible pendulum suspension, would ensure a regular (i.e isochronous) swing of the pendulum irrespective of its amplitude, i.e. irrespective of how it moved side to side. The mathematical and practical details of this finding were published in "Horologium Oscillatorium" of 1673. Huygens also observed that two pendulums mounted on the same beam will come to swing in perfectly opposite directions, an observation he referred to as odd sympathy
Odd sympathy

The phrase odd sympathy was used by Netherlands mathematician and physicist Christiaan Huygens in a letter to the Royal Society of London pertaining to the tendency of two pendulums to synchronize, or asynchronize, when mounted together on the same beam....
 which in modern times is known as resonance
Resonance

In physics, resonance is the tendency of a system to oscillate at maximum amplitude at certain Frequency, known as the system's resonance frequencies ....
. Contrary to sometimes expressed popular belief Huygens was not a clockmaker, and is not known to have ever made any clock himself; he was a scholar, scientist and inventor, and the oldest known pendulum clocks were made "under the privilege" -i.e. based on a license from Huygens- by Salomon Coster
Salomon Coster

Salomon Coster is a Dutch clockmaker of the Hague, who in 1657 was the first clockmaker to make a pendulum clock, which had been invented by Christiaan Huygens ....
 in The Hague
The Hague

The Hague is the third largest city in the Netherlands after Amsterdam and Rotterdam, with a population of 475,904 and an area of approximately 100 km?....
. The oldest known Huygens style pendulum clock is dated 1657 and can be seen at the Museum Boerhaave in Leiden
Leiden

Media:Nl-Leiden.ogg is a city and municipality in the province of South Holland in the Netherlands and has 118,000 inhabitants. It forms a single urban area with Oegstgeest, Leiderdorp, Voorschoten, Valkenburg, Rijnsburg and Katwijk, with 254,000 inhabitants....
, which also shows an important astronomical clock owned and used by Huygens.

Huygens also developed a balance spring
Balance spring

A balance spring, or hairspring, is a fine spiral or helical spring used in mechanical watches, marine chronometers, and other timekeeping mechanisms to control the rate of vibration of the balance wheel....
 clock more or less contemporaneously with, though separately from, Robert Hooke
Robert Hooke

Robert Hooke, Fellow of the Royal Society was an England natural philosopher and polymath who played an important role in the scientific revolution, through both experimental and theoretical work....
, and controversy over whose invention was the earlier persisted for centuries. In February 2006, a long-lost copy of Hooke's handwritten notes from several decades' Royal Society
Royal Society

The Royal Society of London for the Improvement of Natural Knowledge, known simply as the Royal Society, or even the Royal, is a learned society for science that was founded in 1660 and is considered by most to be the oldest such society still in existence....
 meetings was discovered in a cupboard in Hampshire, and the balance-spring controversy appears by evidence contained in those notes to be settled in favor of Hooke's claim.

On May 3, 1661, he observed planet Mercury
Mercury (planet)

Mercury is the innermost and smallest planet in the Solar System, orbiting the Sun once every 88 days. The orbit of Mercury has the highest Orbital eccentricity of all the Solar System planets, and it has the smallest axial tilt....
 transit over the Sun, using the telescope of telescope maker Richard Reeves in London together with astronomer Thomas Streete and Richard Reeves.

The Royal Society
Royal Society

The Royal Society of London for the Improvement of Natural Knowledge, known simply as the Royal Society, or even the Royal, is a learned society for science that was founded in 1660 and is considered by most to be the oldest such society still in existence....
 elected Huygens a member in 1663. In the year 1666 Huygens moved to Paris where he held a position at the French Academy of Sciences
French Academy of Sciences

The French Academy of Sciences is a learned society, founded in 1666 by Louis XIV of France at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French people Scientific method....
 under the patronage of Louis XIV. Using the Paris Observatory
Paris Observatory

The Paris Observatory is the foremost astronomy observatory of France, and one of the largest astronomical centers in the world....
 (completed in 1672) he made further astronomical
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 observations. In 1684 he published "Astroscopia Compendiaria" which presented his new aerial (tubeless) telescope.

Huygens speculated in detail about life on other planets
Extraterrestrial life

Extraterrestrial life is defined as life which does not originate from Earth. It is the subject of astrobiology and its existence remains hypothetical, because there is no credible evidence of extraterrestrial life which has been generally accepted by the mainstream scientific community....
. In his book Cosmotheoros, further entitled The celestial worlds discover'd: or, conjectures concerning the inhabitants, plants and productions of the worlds in the planets, he imagined a universe brimming with life, much of it very similar to life on 17th-century Earth. The liberal climate in the Netherlands of that time not only allowed but encouraged such speculation. In sharp contrast, philosopher Giordano Bruno
Giordano Bruno

Giordano Bruno, born Filippo Bruno , was an Italy philosopher best-known as a proponent of heliocentrism and the infinity of the universe. In addition to his cosmological writings, he also wrote extensive works on the art of memory, a loosely-organized group of mnemonic techniques and principles....
, who also believed in many inhabited worlds, was burned at the stake by the Italian authorities for his beliefs in 1600.

In 1673, Huygens carried out experiments with internal combustion. Although he designed a basic form of internal combustion engine
Internal combustion engine

The internal combustion engine is an engine in which the combustion of a fuel occurs in a combustion chamber inside and integral to the engine. In an internal combustion engine it is always the expansion of the high temperature and pressure gases that are produced by the combustion which apply force to the movable component of the engine, such as...
, fueled by gunpowder, he never successfully built one.

In 1675, Christiaan Huygens patent
Patent

A patent is a set of exclusive rights granted by a state to an inventor or his assignee for a term of patent in exchange for a disclosure of an invention....
ed a pocket watch
Pocket watch

A pocket watch is a watch that is made to be carried in a pocket, as opposed to a wristwatch, which is strapped to the wrist. They were the most common type of watch from their development in the 16th century until wristwatches became popular after World War I....
. He also invented numerous other devices, including a 31 tone to the octave keyboard instrument which made use of his discovery of 31 equal temperament
31 equal temperament

In music, 31 equal temperament , which can be abbreviated 31-TET, 31-equal division of the octave, 31-ET, is the Temperament scale derived by dividing the octave into 31 equal-sized steps....
.

Huygens moved back to The Hague in 1681 after suffering serious illness. He attempted to return to France in 1685 but the revocation of the Edict of Nantes
Edict of Nantes

The Edict of Nantes was issued on 13 April 1598 by Henry IV of France to grant the Calvinism Protestants of France substantial rights in a nation still considered essentially Catholicism....
 precluded this move. Huygens died in The Hague on July 8, 1695. He was buried there at the .

Named after Huygens

  • The Huygens probe
    Huygens probe

    The Huygens probe, supplied by the European Space Agency and named after the Dutch 17th century astronomer Christiaan Huygens, was an atmospheric entry probe carried to Saturn 's moon Titan as part of the Cassini-Huygens mission....
    : The lander for the Saturnian moon
    Moon

    The Moon is Earth's only natural satellite and the List of natural satellites by diameter satellite in the Solar System. The average centre-to-centre distance from the Earth to the Moon is km, about thirty times the diameter of the Earth....
     Titan, part of the Cassini-Huygens Mission to Saturn
  • Asteroid 2801 Huygens
    2801 Huygens

    2801 Huygens is a small asteroid belt asteroid, which was discovered by Hendrik van Gent in 1935. It belongs to the Gefion family of asteroids. It is named after Christiaan Huygens, the Netherlands astronomer, mathematician and physicist....
  • A crater on Mars
  • Mons Huygens, a mountain on the Moon
    Moon

    The Moon is Earth's only natural satellite and the List of natural satellites by diameter satellite in the Solar System. The average centre-to-centre distance from the Earth to the Moon is km, about thirty times the diameter of the Earth....
  • Huygens Software
    Huygens Software

    Huygens software refers to different multiplatform microscope image processing packages from Scientific Volume Imaging, made for restoring Cartesian plane#Two-dimensional coordinate system and Three-dimensional space microscopy images or time series and analyzing and visualizing them....
    , a microscope image processing
    Microscope image processing

    Microscope image processing is a broad term that covers the use of digital image processing techniques to process, analyze and present images obtained from a microscope....
     package.
  • Achromatic
    Achromatic lens

    An achromatic lens or achromat is a lens that is designed to limit the effects of chromatic aberration and spherical aberration. Achromatic lenses are corrected to bring two wavelengths into focus in the same plane....
     two element eyepiece
    Eyepiece

    An eyepiece, or ocular lens, is a type of lens that is attached to a variety of optical devices such as Optical telescopes and microscopes....
     designed by him.
  • The Huygens–Fresnel principle, a simple model to understand disturbances in wave propagation.
  • Huygens wavelets, the fundamental mathematical basis for scalar
    Scalar (mathematics)

    In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector....
     diffraction
    Diffraction

    Diffraction is normally taken to refer to various phenomena which occur when a wave encounters an obstacle. It is described as the apparent bending of waves around small obstacles and the spreading out of waves past small openings....
     theory
  • : Dutch study guild for the studies Mathemathics and Computer Science at the Delft University of Technology
    Delft University of Technology

    The Delft University of Technology in Delft, the Netherlands, is the nation's largest technical university, with over 13,000 students and 2,100 scientists ....
  • : Home of the Physics department at Leiden University, The Netherlands
  • : National Supercomputer facility of The Netherlands, located at SARA
    Stichting Academisch Rekencentrum Amsterdam

    Stichting Academisch Rekencentrum Amsterdam is a Netherlands foundation that provides facilities in the area of supercomputers, colocation, networks and high-end visualisation....
     in Amsterdam
  • The Huygens-building in Noordwijk, The Netherlands, first building on the Space Business park opposite Estec (ESA)
  • The Huygens-building at the Radboud University, Nijmegen, The Netherlands. One of the major buildings of the science department at the university of Nijmegen.
  • , High School located in Eindhoven
    Eindhoven

    Eindhoven is a municipality and a city located in the province of North Brabant in the south of the Netherlands, originally at the confluence of the Dommel and Gender streams....
    , The Netherlands.
  • The Christiaan Huygens, a ship of the Nederland Line
    Netherland Line

    File:SMN boekje 1911.JPGThe Stoomvaart Maatschappij Nederland or SMN, also known as the Netherland Line or Nederland Line, was a Dutch shipping line that operated from 1870 until 1970, when it merged with several other companies to form what would become Royal Nedlloyd....
    .


Selected works


  • Christiani Hugenii Zuilichemii, dum viveret Zelhemii toparchae, opuscula posthuma ... (pub. 1728)
Alternate title — Opera reliqua a work in the area of optics and physics
  • (German translation, pub. 1913)
Alternate title — Die pendeluhr, Horologium oscillatorium, von Christiaan Huygens a work in the area of timepieces
  • . (English translation of Latin, pub. 1698)
Alternate title — Cosmotheoros. Alternate title — The celestial worlds discover'd: or, Conjectures concerning the inhabitants, plants and productions of the worlds in the planets. a work relating theories of life on other worlds
  • (English translation, pub. 1912 and again in 1962)
Alternate title — . a work in the area of optics and physics
  • (1703)


See also

  • History of the internal combustion engine
    History of the internal combustion engine

    Various scientists and engineers contributed to the development of internal combustion engines:File:Benz Patent Motorwagen Engine.jpg*1206: Al-Jazari described a double-acting Reciprocating engine with a crankshaft-connecting rod mechanism....


Further reading

  • Andriesse, C.D., 2005, Huygens The Man Behind the Principle. Foreword by Sally Miedema. Cambridge University Press
    Cambridge University Press

    Cambridge University Press is a printer and publisher granted a Royal Letters Patent by Henry VIII of England in 1534. It is the world's oldest continually operating book publisher....
    .
  • Yoder, J G., 2005, "Book on the pendulum clock" in Ivor Grattan-Guinness
    Ivor Grattan-Guinness

    Ivor Grattan-Guinness is a historian of mathematics and logic.He gained his Bachelor degree as a Mathematics Scholar at Wadham College, Oxford, got an M.Sc in Mathematical Logic and the Philosophy of Science at the London School of Economics in 1966....
    , ed., Landmark Writings in Western Mathematics. Elsevier: 33-45.
  • . Retrieved 2005-03-30.


External links

    • translated into English by Silvanus P. Thompson, Project Gutenberg etext.
  • Christiaan Huygens' book on probability theory. An English translation published in 1714. Text pdf file.
  • in Voorburg, The Netherlands, where Huygens lived and worked.
  • exhibition from the Science Museum, London
  • Huygens–Fokker Foundation —on Huygens' 31 equal temperament
    31 equal temperament

    In music, 31 equal temperament , which can be abbreviated 31-TET, 31-equal division of the octave, 31-ET, is the Temperament scale derived by dividing the octave into 31 equal-sized steps....
     and how it has been used
  • a digital edition of Smithsonian Libraries