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French mathematician, astronomer, and geophysicist (1713–1765)
Alexis Claude Clairaut (/klɛərˈroʊ/; French: [alɛksi klod klɛʁo]; 13 May 1713 – 17 May 1765) was a French mathematician, astronomer, and physicist. He
Alexis_Clairaut
Topics referred to by the same term
Clairaut may refer to: Alexis Claude Clairaut, French mathematician Clairaut's equation Clairaut's theorem Clairaut (crater), a crater on the Moon This
Clairaut
Type of ordinary differential equation
In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form y ( x ) = x d y d x + f ( d y d x ) {\displaystyle
Clairaut's_equation
Theorem about gravity
Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field
Clairaut's_theorem_(gravity)
Mathematical theorem
for the symmetry to hold are given by Schwarz's theorem, also called Clairaut's theorem or Young's theorem. In the context of partial differential equations
Symmetry of second derivatives
Symmetry_of_second_derivatives
Physics problem related to laws of motion and gravity
the motion of the Moon around Earth. Jean le Rond d'Alembert and Alexis Clairaut, who developed a longstanding rivalry, both attempted to analyze the problem
Three-body_problem
Topics referred to by the same term
Clairaut's formula may refer to: Clairaut's equation (mathematical analysis) Clairaut's relation (differential geometry) Clairaut's theorem (calculus)
Clairaut's_formula
Formula in classical differential geometry
In classical differential geometry, Clairaut's relation, named after Alexis Claude de Clairaut, is a formula that characterizes the great circle paths
Clairaut's relation (differential geometry)
Clairaut's_relation_(differential_geometry)
Lunar impact crater
Clairaut is a lunar impact crater that is located in the rugged southern highlands of the Moon's near side. It lies directly to the south of the crater
Clairaut_(crater)
French mathematician, physicist, and author (1706–1749)
her mathematical training to Alexis Clairaut, a mathematical prodigy known best for Clairaut's equation and Clairaut's theorem. Du Châtelet resourcefully
Émilie_du_Châtelet
French astronomer
was a French astronomer and human computer. Lepaute along with Alexis Clairaut and Jérôme Lalande calculated the date of the return of Halley's Comet
Nicole-Reine_Lepaute
Day of the year
von Bernstorff, Danish politician and diplomat (died 1772) 1713 – Alexis Clairaut, French mathematician, astronomer, and geophysicist (died 1765) 1717 –
May_13
Geometric model of the physical space
system that is useful for certain geometries. The 18th century, Alexis Clairaut studied algebraic curves in space, the concept of tangent space and curvature
Three-dimensional_space
Branch of mathematics
geometry and plane curves, Alexis Clairaut began the study of space curves at just the age of 16. In his book Clairaut introduced the notion of tangent
Differential_geometry
English polymath (1642–1727)
oblate spheroid was later confirmed by the geodetic measurements of Alexis Clairaut, Charles Marie de La Condamine, and others, convincing most European scientists
Isaac_Newton
State of balance between external forces on a fluid and internal pressure gradient
has a dense metallic core. In 1737, Alexis Clairaut studied the case of density varying with depth. Clairaut's theorem states that the variation of the
Hydrostatic_equilibrium
geometry, Pascal's law in fluid mechanics, among other contributions. Alexis Clairaut (1713–1765) was a French mathematician, physicist and astronomer. He mastered
List_of_child_prodigies
On converting relations to functions of several real variables
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Implicit_function_theorem
Attraction of masses and energy
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Gravity
Scientific study of celestial objects
the study of the three-body problem by Leonhard Euler, Alexis Claude Clairaut, and Jean le Rond d'Alembert led to more accurate predictions about the
Astronomy
1687 work by Isaac Newton
Flamsteed. In 1759, decades after the deaths of both Newton and Hooke, Alexis Clairaut, mathematical astronomer eminent in his own right in the field of gravitational
Philosophiæ Naturalis Principia Mathematica
Philosophiæ_Naturalis_Principia_Mathematica
Energy of a moving physical body
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Kinetic_energy
Length of a line segment
1637. The distance formula itself was first published in 1731 by Alexis Clairaut. Because of this formula, Euclidean distance is also sometimes called Pythagorean
Euclidean_distance
Supernova remnant in the constellation Taurus
the first entry in his catalogue of comet-like objects; in 1757, Alexis Clairaut reexamined the calculations of Edmund Halley and predicted the return of
Crab_Nebula
Existence and uniqueness of solutions to initial value problems
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Picard–Lindelöf_theorem
Turning force around an axis
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Torque
Fundamental principle of classical physics
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Inertia
Crater on the Moon
Chawla Chebyshev Chernyshev Chevallier Ching-Te Chladni Chrétien Cichus Clairaut Clark Clausius Clavius Cleomedes Cleostratus Clerke Coblentz Cockcroft
Carroll_(crater)
Framework of distances and directions
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Space
Natural object in space that releases gas
date was later refined by a team of three French mathematicians: Alexis Clairaut, Joseph Lalande, and Nicole-Reine Lepaute, who predicted the date of the
Comet
Scottish mathematician (1698–1746)
subject that furthermore attracted the attention of d'Alembert, A.-C. Clairaut, Euler, Laplace, Legendre, Poisson and Gauss. Maclaurin showed that an
Colin_Maclaurin
Influence on an oscillating physical system which reduces or prevents its oscillation
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Damping
Boundary-value problem in differential equations
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Cauchy_boundary_condition
Continuous progression from past to future
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Time
Method of solution for certain mechanical problems
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Action-angle_coordinates
Instantaneous rate of change (mathematics)
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Derivative
Change in the position of an object
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Motion
Classical statement of gravity as force
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Newton's law of universal gravitation
Newton's_law_of_universal_gravitation
Distance measured along the surface of the Earth
the course of the 18th and 19th centuries with major contributions by Clairaut, Legendre, Bessel, and Helmert English translation of Astron. Nachr. 4
Geographical_distance
Differential operator in mathematics
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Laplace_operator
Formal and systematic written discourse on some subject
one of the masterpieces in the history of science". (in French) Alexis Clairaut, "Du systeme du monde, dans les principes de la gravitation universelle"
Treatise
Irish mathematician
mathematics by Jean-Baptiste Clairaut, and became a friend of Jean-Baptiste's son, Alexis-Claude Clairaut, (Alexis Clairaut), who was a brilliant young
Patrick_d'Arcy
Periodic comet
one-month error to 13 April) by a team of three French mathematicians, Alexis Clairaut, Joseph Lalande, and Nicole-Reine Lepaute. The confirmation of the comet's
Halley's_Comet
Vector calculus construction
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Time_dependent_vector_field
Differential equations involving stochastic processes
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Stochastic differential equation
Stochastic_differential_equation
Shortest paths on a bounded deformed sphere-like quadric surface
revolution, the characteristic constant defining the geodesic was found by Clairaut (1735). A systematic solution for the paths of geodesics was given by Legendre
Geodesics_on_an_ellipsoid
Rate of change of angle
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Angular_frequency
European cultural movement
Maupertuis, Jean-Jacques Dortous de Mairan, Henri François d'Aguesseau, Alexis Clairaut. Front row, right to left: Montesquieu, Sophie d'Houdetot, Claude Joseph
Age_of_Enlightenment
Integral transform
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Riemann–Liouville_integral
Formulation of the principle of stationary action
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Hamilton's_principle
Laws in physics about force and motion
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Newton's_laws_of_motion
Jennifer Alice Clack 2009-05-15 3 November 1947 – 26 March 2020 Alexis Claude Clairaut 1737-10-27 7 May 1713 – 17 May 1765 Arthur Roy Clapham 1959-03-19 24 May
List of fellows of the Royal Society A, B, C
List_of_fellows_of_the_Royal_Society_A,_B,_C
Emergence of modern science (1572-1687)
since at least the 18th century. In 1747, the French mathematician Alexis Clairaut applied it to Isaac Newton. In the 19th century William Whewell chose it
Scientific_Revolution
Certain vector fields are the sum of an irrotational and a solenoidal vector field
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Helmholtz_decomposition
Property of a mass in motion
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Momentum
Rigid body equations in classical mechanics
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Newton–Euler_equations
Mathematical technique for simplification
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Change_of_variables
Unique point where the weighted relative position of the distributed mass sums to zero
John Wallis, Christiaan Huygens, Louis Carré, Pierre Varignon, and Alexis Clairaut expanded the concept further. Newton's second law is reformulated with
Center_of_mass
Matrix of second derivatives
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Hessian_matrix
Science concerned with physical bodies subjected to forces or displacements
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Mechanics
Space of all possible states that a system can take
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Phase_space
Geometric figure which approximates the Earth's shape
Gravimetry is another technique for determining Earth's flattening, as per Clairaut's theorem. Modern geodesy no longer uses simple meridian arcs or ground
Earth_ellipsoid
French mathematician (1717–1783)
mechanics Mémoire sur la réfraction des corps solides, which was recognised by Clairaut. In this work d'Alembert theoretically explained refraction. In 1741, after
Jean_Le_Rond_d'Alembert
Free swinging suspended body
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Pendulum_(mechanics)
Amount of energy transferred or converted per unit time
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Power_(physics)
French engraver
Alexis Clairaut, engraving by Charles-Nicolas Cochin and Cathelin, c. 1770.
Louis-Jacques_Cathelin
Method of solution for inhomogeneous ODEs
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Method of undetermined coefficients
Method_of_undetermined_coefficients
Differential equation containing derivatives with respect to only one variable
to the field, including Newton, Leibniz, the Bernoulli family, Riccati, Clairaut, d'Alembert, and Euler. A simple example is Newton's second law of motion—the
Ordinary differential equation
Ordinary_differential_equation
Operation in mathematical calculus
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Integral
applications. About thirty years after Newton's death in 1727, Alexis Clairaut, a mathematical astronomer eminent in his own right in the field of gravitational
Hooke–Newton inverse square law controversy
Hooke–Newton_inverse_square_law_controversy
Type of ordinary differential equation
p ) = p {\displaystyle f(p)=p} , d'Alembert's equation is reduced to Clairaut's equation. Weisstein, Eric W. "d'Alembert's Equation". mathworld.wolfram
D'Alembert's_equation
Day of the year
Samuel Clarke, English clergyman and philosopher (born 1675) 1765 – Alexis Clairaut, French mathematician, astronomer, and geophysicist (born 1713) 1797 –
May_17
Formalism in classical field theory based on Hamiltonian mechanics
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Hamiltonian_field_theory
Name list
Christoforous (born 1970), American WCBS-TV Wall Street reporter Alexis Clairaut (1713–1765), French mathematician, astronomer, and geophysicist Alexis
Alexis_(given_name)
Concept in classical mechanics
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Rotating_reference_frame
Rate of change of the second derivative
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Third_derivative
Generalization of the concept of directional derivative
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Gateaux_derivative
German astronomer and mathematician (1571–1630)
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Johannes_Kepler
Mathematical identities
in a Cartesian coordinate system with Schwarz's theorem (also called Clairaut's theorem on equality of mixed partials). This result is a special case
Vector_calculus_identities
Derivative of a function with multiple variables
that set); in this case, the partial derivatives can be exchanged by Clairaut's theorem: ∂ 2 f ∂ x i ∂ x j = ∂ 2 f ∂ x j ∂ x i . {\displaystyle {\frac
Partial_derivative
Mapping involving integration between function spaces
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Integral_transform
Mathematical approximation of a function
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Taylor_series
Mathematical operation
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Second_derivative
French polymath (1749–1827)
computationally and conceptually easier to deal with than a vector function. Alexis Clairaut had first suggested the idea in 1743 while working on a similar problem
Pierre-Simon_Laplace
Fundamental construction of differential calculus
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Generalizations of the derivative
Generalizations_of_the_derivative
Relationship between derivatives and integrals
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
Two Advanced Placement courses and exams
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
AP_Calculus
Integral of a comparatively larger force over a short time interval
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Impulse_(physics)
Physical quantity
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Energy
Branch of mechanics concerned with balance of forces in nonmoving systems
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Statics
French astronomer (1732–1807)
history of Halley's Comet whose return in that year he had helped Alexis Clairaut and Nicole-Reine Lepaute to calculate. In 1762, Delisle resigned the chair
Jérôme_Lalande
Sets of coordinates on phase space which can be used to describe a physical system
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Canonical_coordinates
Countries with an originally European shared culture
gravitation, notably Leonhard Euler, Pierre Louis Maupertuis, Alexis-Claude Clairaut, Jean Le Rond d'Alembert, Joseph-Louis Lagrange, Pierre-Simon de Laplace
Western_world
Rate of change of velocity
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Acceleration
Multivariate derivative (mathematics)
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Gradient
Matrix of partial derivatives of a vector-valued function
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Divergent sum of positive unit fractions
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Harmonic_series_(mathematics)
Study of rates of change
Line integral Surface integral Volume integral Jacobian Hessian Theorems Clairaut's Fubini's Advanced Calculus on Euclidean space Generalized functions Limit
Differential_calculus
Type of differential equation
WKB approximation People List Newton Leibniz Jacob Bernoulli d'Alembert Clairaut Euler Lagrange Laplace Wroński Fourier Cauchy Green Dirichlet Sturm Liouville
Partial_differential_equation
Formulation in classical mechanics
Horrocks Halley Maupertuis Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Poisson Hamilton Jacobi Cauchy Routh Liouville Appell
Gauss's principle of least constraint
Gauss's_principle_of_least_constraint
CLAIRAUT
CLAIRAUT
CLAIRAUT
CLAIRAUT
Girl/Female
Hindu
Small creeper
Girl/Female
Hindu
Rose
Male
Dutch
, Frenchman, or, free.
Boy/Male
Hindu, Indian
Lord Vishnu
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Rapid; A River
Girl/Female
British, Christian, English, French
Rock; Stone
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi
Musical Note; Tune; A Music Tune; Lucky
Girl/Female
Australian, Teutonic
Sparkling Fame
Male
Italian
Italian form of Greek Nathanael, NATANAELE means "given of God" or "whom God gave."
Boy/Male
German American
Illustrious warrior. Army. Bright. Introduced into Britain during the Norman Conquest. Famous...
CLAIRAUT
CLAIRAUT
CLAIRAUT
CLAIRAUT
CLAIRAUT