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Error in reasoning attributed to René Descartes
The Cartesian circle (also known as Arnauld's circle) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He
Cartesian_circle
Coordinate system using perpendicular axes
In geometry, a Cartesian coordinate system (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely
Cartesian_coordinate_system
French polymath (1596–1650)
ISBN 978-88-452-8071-9 Bucket argument Cartesian circle Cartesian plane Cartesian product Cartesian product of graphs Cartesian theater Cartesian tree Descartes number
René_Descartes
Philosophical and scientific system of René Descartes
Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably
Cartesianism
Classic science experiment demonstrating the Archimedes' principle and the ideal gas law
Dancing Cartesian Devil A Cartesian diver or Cartesian devil is a classic science experiment which demonstrates the principle of buoyancy (Archimedes'
Cartesian_diver
Topics referred to by the same term
world Cartesian circle, a potential mistake in reasoning Cartesian doubt, a form of methodical skepticism as a basis for philosophical rigor Cartesian dualism
Cartesian
Form of methodological skepticism
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (31 March 1596 – 11 February 1650)
Cartesian_doubt
Study of geometry using a coordinate system
computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes
Analytic_geometry
Phrase of the philosopher René Descartes
Charles Porterfield Krauth. Fumitaka Suzuki writes "Taking consideration of Cartesian theory of continuous creation, which theory was developed especially in
Cogito,_ergo_sum
Concept in Cartesian philosophy
evil genius, is an epistemological concept that features prominently in Cartesian philosophy. In his Meditations on First Philosophy, Descartes imagines
Evil_demon
Circle with radius of one
circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. In topology, it is often denoted
Unit_circle
Simple curve of Euclidean geometry
circumference of a complete circle and area of a complete disc, respectively. In an x–y Cartesian coordinate system, the circle with centre coordinates (a
Circle
Concept in philosophy of mind
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Mental_substance
1637 treatise by Descartes
Géométrie contains Descartes's initial concepts that later developed into the Cartesian coordinate system. The text was written and published in French so as
Discourse_on_the_Method
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Causal_adequacy_principle
Postulation about the act of dreaming
framework of dreaming as real imaginative experiences. Brain in a vat Cartesian doubt Consensus reality Evil demon False awakening Maya (illusion) Multiverse
Dream_argument
Epistemological view centered on reason
what is known as the mind–body problem, since the two substances in the Cartesian system are independent of each other and irreducible. The philosophy of
Rationalism
Open question in philosophy of how abstract minds interact with physical bodies
approach have expressed the hope that it will ultimately dissolve the Cartesian divide between the immaterial mind and the material existence of human
Mind–body_problem
Algebraic curve
{3a{\sqrt {2}}-2u}{6u+3a{\sqrt {2}}}}}\,,\,u<3a/{\sqrt {2}}.} Plotting in the Cartesian system of ( u , v ) {\displaystyle (u,v)} gives the folium rotated by
Folium_of_Descartes
Counting polynomial real roots based on coefficients
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Descartes'_rule_of_signs
Cartesian metaphysical concept
extensa is one of the two substances described by René Descartes in his Cartesian ontology (often referred to as "radical dualism"), alongside res cogitans
Res_extensa
Cartesian product of 3 circles
defined as any topological space that is homeomorphic to the Cartesian product of three circles, T 3 = S 1 × S 1 × S 1 . {\displaystyle \mathbb {T} ^{3}=S^{1}\times
3-torus
1641 book by René Descartes
important step away from the Aristotelian reliance on the senses and toward Cartesian rationalism. Read on its own, the First Meditation can be seen as presenting
Meditations on First Philosophy
Meditations_on_First_Philosophy
Argument for the existence of God
on their exercising their own powers of thought. Philosophy portal Cartesian Circle "trademark argument". The Oxford Dictionary of Philosophy. Retrieved
Trademark_argument
Book by René Descartes
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
The_World_(book)
Book by Descartes
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Principles_of_Philosophy
Epistemological theory
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Foundationalism
Ability to acquire knowledge without conscious reasoning
intuition It is a component of a potential logical mistake called the Cartesian circle. Intuition and deduction, says Descartes, are the unique possible sources
Intuition
Appendix on analytic geometry by Descartes
Known line segments are designated a, b, c, etc. The germinal idea of a Cartesian coordinate system can be traced back to this work. In the second book
La_Géométrie
1649 book by René Descartes
primarily defined by its form and movement. This is what is known as Cartesian dualism. In Passions, Descartes further explores this mysterious dichotomy
Passions_of_the_Soul
Queen of Sweden from 1632 to 1654
(Kreistage) of three Imperial Circles: the Upper Saxon Circle, Lower Saxon Circle, and Lower Rhenish-Westphalian Circle; the city of Bremen was disputed
Christina,_Queen_of_Sweden
Thought experiment
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Wax_argument
Philosophical question
perform actions that were logically contradictory, such as creating a square circle or making 2+2=5. One of the most famous versions of this paradox is the
Existence_of_God
Philosophical dialogue by Descartes
the original. Translation by Hallam, with additions for completeness. Cartesian doubt Cogito, ergo sum Descartes, René (2009). La recherche de la vérité
The Search for Truth by Natural Light
The_Search_for_Truth_by_Natural_Light
Unfinished book by René Descartes
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Rules for the Direction of the Mind
Rules_for_the_Direction_of_the_Mind
Belief that natural wholes are similar to machines
L. Schindler (from Beyond Mechanism) – contrasts the Aristotelian and Cartesian views of nature and how the latter engendered the mechanical philosophy
Mechanism_(philosophy)
Spherical geometry analog of a straight line
great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point. Any arc of a great circle is a
Great_circle
Directional planes
drawn from "up" to "down" (or down to up), such as the y-axis in the Cartesian coordinate system. The word horizontal is derived from the Latin horizon
Vertical_and_horizontal
Method for specifying point positions
unique point. The prototypical example of a coordinate system is the Cartesian coordinate system. In the plane, two perpendicular lines are chosen and
Coordinate_system
Shortest distance between two points on the surface of a sphere
great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between
Great-circle_distance
Rene Descartes's daughter
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Francine_Descartes
American philosopher
of Philosophy 77 (1980): 166-179.[17] Epistemic Appraisal and the Cartesian Circle, Philosophical Studies 27 (1975): 37-55. The Journal of Philosophy
Fred_Feldman
Line which touches a circle at exactly one point
∠PTM ≤ 90° then ∠PTM = ½ ∠TOM. Suppose that the equation of the circle in Cartesian coordinates is ( x − a ) 2 + ( y − b ) 2 = r 2 {\displaystyle
Tangent_lines_to_circles
Doughnut-shaped surface of revolution
and bagels. In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S1 × S1, which is sometimes used as the definition. It is
Torus
Geometric civil engineering calculation technique
are the steps to construct the Mohr circle for the state of stresses at P {\displaystyle P} : Draw the Cartesian coordinate system ( σ n , τ n ) {\displaystyle
Mohr's_circle
Class of geometric plane curves
In geometry, a Cartesian oval is a plane curve consisting of points that have the same linear combination of distances from two fixed points (foci). These
Cartesian_oval
Flight or sailing route along the shortest path between two points on a globe's surface
geocentric coordinate system centered at the center of the sphere, the Cartesian components are s = R ( cos φ s cos λ s cos φ s sin λ s sin φ
Great-circle_navigation
Theory in early neuroscience that attempted to explain muscle movement
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Balloonist_theory
Circle that passes through the vertices of a triangle
Euclidean space, there is a unique circle passing through any given three non-collinear points P1, P2, P3. Using Cartesian coordinates to represent these
Circumcircle
Coordinates comprising a distance and an angle
coordinate, polar angle, or azimuth. The pole is analogous to the origin in a Cartesian coordinate system. Polar coordinates are most appropriate in any context
Polar_coordinate_system
Descartes Cartesian diver Cartesian vortex theory Snell–Descartes law Cartesian anxiety Cartesian circle Cartesian doubt Cartesian dualism Cartesian materialism
List of things named after René Descartes
List_of_things_named_after_René_Descartes
Generalized sphere of dimension n (mathematics)
-sphere is the boundary of an n {\displaystyle n} -ball. Given a Cartesian coordinate system, the unit n {\displaystyle n} -sphere of radius
N-sphere
Property of a mathematical space
two dimensions, and a cube describes three dimensions. (See Space and Cartesian coordinate system.) A temporal dimension, or time dimension, is a dimension
Dimension
Philosophical view
Benton. Infallibility Lacewing, Michael (2013). "Infallibilism and the Cartesian circle" (PDF). A Level Philosophy. Archived from the original (PDF) on March
Infallibilism
Geometric model of the planar projection of the physical universe
allows to define circles, and angle measurement. A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. The set R 2
Euclidean_plane
Mathematical formula expressing equality
2 (R = 2), this equation would be recognized in Cartesian coordinates as the equation for the circle of radius of 2 around the origin. Hence, the equation
Equation
Descartes. He completed his dissertation titled, Doubt, certainty and the Cartesian Circle under committee chairman Fred Feldman. He went on to teach at the University
Robert_S._Welch
Shape with four equal sides and angles
surfaces is the Clifford torus, the four-dimensional Cartesian product of two congruent circles; it has the same intrinsic geometry as a single square
Square
Equation for radii of tangent circles
curvatures combine in the Ford circles. These are an infinite family of circles tangent to the x {\displaystyle x} -axis of the Cartesian coordinate system at its
Descartes'_theorem
Geometric point from which certain types of curves are constructed
of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian oval, and more than
Focus_(geometry)
How many integer lattice points there are in a circle
{\displaystyle n} are both integers. Since the equation of this circle is given in Cartesian coordinates by x 2 + y 2 = r 2 {\displaystyle x^{2}+y^{2}=r^{2}}
Gauss_circle_problem
Square with side length one
specifically to the square in the Cartesian plane with corners at the four points (0, 0), (1, 0), (0, 1), and (1, 1). In a Cartesian coordinate system with coordinates
Unit_square
Circles tangent to all three sides of a triangle
In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the
Incircle_and_excircles
Plane curve
than that of the lines on the cone. The standard form of an ellipse in Cartesian coordinates assumes that the origin is the center of the ellipse, the
Ellipse
System to specify locations on Earth
longitude form a coordinate tuple like a Cartesian coordinate system, geographic coordinate systems are not Cartesian because the measurements are angles and
Geographic_coordinate_system
Straight figure with zero width and depth
and the opposite ray comes from λ ≤ 0. In a Cartesian plane, polar coordinates (r, θ) are related to Cartesian coordinates by the parametric equations: x
Line_(geometry)
Fundamental trigonometric functions
as the equation of x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} in the Cartesian coordinate system. A ray from the origin making an angle of θ {\displaystyle
Sine_and_cosine
Polynomial sequence
and robust recurrence relations for the Zernike circle polynomials and their derivatives in Cartesian coordinates". Opt. Express. 26 (15): 18878–18896
Zernike_polynomials
Mathematical symbol
by" Cross product of two vectors, where it is usually read as "cross" Cartesian product of two sets, where it is usually read as "cross" Geometric dimension
Multiplication_sign
Length of a line segment
length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore
Euclidean_distance
Shape with three sides
triangle in an arbitrary location and orientation in the Cartesian plane, and to use Cartesian coordinates. While convenient for many purposes, this approach
Triangle
Circle of immediate corresponding curvature of a curve at a point
.} We can obtain the center of the osculating circle in Cartesian coordinates if we substitute t = x and y = f(x) for some function
Osculating_circle
Shape between a square and a circle
portmanteau of the words "square" and "circle". Squircles have been applied in design and optics. In a Cartesian coordinate system, the superellipse is
Squircle
Vector of length one
of a Cartesian coordinate system. For instance, the standard unit vectors in the direction of the x, y, and z axes of a three dimensional Cartesian coordinate
Unit_vector
Type of roulette curve
loop. The conchoid of a circle with respect to a point on the circle is a limaçon. A particular special case of a Cartesian oval is a limaçon. Roulette
Limaçon
Circle associated with a quadratic equation
contains an analogous circle construction, it was presented solely in elementary geometric terms without the notion of a Cartesian coordinate system or
Carlyle_circle
Study of angle-preserving transformations
inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines and that preserves the angles between crossing curves
Inversive_geometry
Multi-lobed plane curve
equation r = a cos ( k θ ) {\displaystyle r=a\cos(k\theta )} or in Cartesian coordinates using the parametric equations x = r cos ( θ ) = a cos
Rose_(mathematics)
Spiral with constant distance from itself
the notion of Archimedean spirals. Suppose a point object moves in the Cartesian system with a constant velocity v directed parallel to the x-axis, with
Archimedean_spiral
Topological space
functor, the free loop space construction is right adjoint to cartesian product with the circle, while the loop space construction is right adjoint to the
Loop_space
Type of plane curve
cardioid. Hence a cardioid is a special pedal curve of a circle. In a Cartesian coordinate system circle k {\displaystyle k} may have midpoint ( 2 a , 0 ) {\displaystyle
Cardioid
Spiral that surrounds equal area per turn
meet smoothly at the origin. If the same variables were reinterpreted as Cartesian coordinates, this would be the equation of a parabola with horizontal
Fermat's_spiral
Geographic coordinate specifying north-south position
coordinate systems, and also Cartesian coordinates are not presented here. The transformation between geodetic and Cartesian coordinates may be found in
Latitude
Method of drawing geometric objects
to a given line. We can associate an algebra to our geometry using a Cartesian coordinate system made of two lines, and represent points of our plane
Straightedge and compass construction
Straightedge_and_compass_construction
Figure formed by two rays meeting at a common point
directions or "sense" relative to some reference. In a two-dimensional Cartesian coordinate system, an angle is typically defined by its two sides, with
Angle
Electrical engineers graphical calculator
two-dimensional Cartesian complex plane. Complex numbers with positive real parts map inside the circle. Those with negative real parts map outside the circle. If
Smith_chart
Intersection graph of a chord diagram
coloring triangle-free circle graphs is equivalent to the problem of representing squaregraphs as isometric subgraphs of Cartesian products of trees; in
Circle_graph
Topological space that locally resembles Euclidean space
it to a Möbius strip along their respective circular boundaries. The Cartesian product of manifolds is also a manifold. The dimension of the product
Manifold
Fundamental space of geometry
E n {\displaystyle \mathbb {E} ^{n}} , which can be represented using Cartesian coordinates as the real n-space R n {\displaystyle \mathbb {R} ^{n}} equipped
Euclidean_space
Geometric model of the physical space
solid figure. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space. The set
Three-dimensional_space
Particular mapping that projects a sphere onto a plane
geometry instead of spherical polar coordinates or three-dimensional cartesian coordinates. This is the spherical analog of the Poincaré disk model of
Stereographic_projection
Framework of distances and directions
as being a subjective "pure a priori form of intuition". Galilean and Cartesian theories about space, matter, and motion are at the foundation of the
Space
Arctangent function with two arguments
from the origin to the point ( x , y ) {\displaystyle (x,\,y)} in the Cartesian plane. Equivalently, atan2 ( y , x ) {\displaystyle \operatorname {atan2}
Atan2
Relation between sides of a right triangle
dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the
Pythagorean_theorem
Representation of a curve by a function of a parameter
sophisticated example is the following. Consider the unit circle which is described by the ordinary (Cartesian) equation x 2 + y 2 = 1. {\displaystyle x^{2}+y^{2}=1
Parametric_equation
Functions of an angle
whole real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) are often used; then the domain of the other
Trigonometric_functions
Mathematical model of the physical space
3-sphere is the simplest and most symmetric flat embedding of the Cartesian product of two circles (in the same sense that the surface of a cylinder is "flat")
Euclidean_geometry
On converting relations to functions of several real variables
any point (R, θ) to find corresponding Cartesian coordinates (x, y). When can we go back and convert Cartesian into polar coordinates? By the previous
Implicit_function_theorem
lemniscates Nephroid Oval Cartesian oval Cassini oval Oval of Booth Superellipse Taijitu Tomoe Magatama List of triangle topics List of circle topics Glossary of
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
Geometric representation of the complex numbers
the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis
Complex_plane
CARTESIAN CIRCLE
CARTESIAN CIRCLE
Girl/Female
Welsh
Fair. Blessed. White browed. White circle.
Girl/Female
Welsh
Fair. Blessed. White browed. White circle.
Surname or Lastname
English
English : from the Old French personal name Hu(gh)e, introduced to Britain by the Normans. This is in origin a short form of any of the various Germanic compound names with the first element hug ‘heart’, ‘mind’, ‘spirit’. Compare, for example, Howard 1, Hubble, and Hubert. It was a popular personal name among the Normans in England, partly due to the fame of St. Hugh of Lincoln (1140–1200), who was born in Burgundy and who established the first Carthusian monastery in England.In Ireland and Scotland this name has been widely used as an equivalent of Celtic Aodh ‘fire’, the source of many Irish surnames (see for example McCoy).
Surname or Lastname
English (Essex, Cambridgeshire)
English (Essex, Cambridgeshire) : possibly a variant of Trendall, a topographic name for someone who lived by a well, earhwork, stone circle, or other circular feature, from Middle English trendel, trandle ‘circle’ (Old English trendel).Possibly an altered spelling of South German Tröndle, a variant of Trendle, a nickname for a tearful person, from Träne ‘tear’ + the diminutive suffix -l.
Girl/Female
Welsh
Fair. Blessed. White browed. White circle.
Surname or Lastname
English, German, and Dutch
English, German, and Dutch : metonymic occupational name for a maker of rings (from Middle English ring, Middle High German rinc, Middle Dutch ring), either to be worn as jewelry or as component parts of chain-mail, harnesses, and other objects. In part it may also have arisen as a nickname for a wearer of a ring.Scandinavian : from ring ‘ring’, probably an ornamental name but possibly applied in the same sense as 3 or 1.German : topographic name from Middle High German, Middle Low German rink, rinc ‘circle’.Irish (eastern County Cork) : reduced Anglicized form of Gaelic Ó Rinn (see Reen).
Girl/Female
Welsh American
Fair. Blessed. White browed. White circle.
Girl/Female
Welsh American
Fair. Blessed. White browed. White circle.
Girl/Female
Latin
Circle of light.
Girl/Female
Japanese
Ball; circle.
Girl/Female
Latin
Circle of light.
Girl/Female
Latin
Circle of light.
Surname or Lastname
English
English : habitational name from a place in Norfolk, recorded in Domesday Book as Huerueles, named in Old English as hwerflas ‘circles’.
Girl/Female
Welsh Arthurian Legend Celtic
Fair. Blessed. White browed. White circle.
Girl/Female
Tamil
Lord Buddha, Energy circle or a form of chakra
Surname or Lastname
English
English : habitational name from any of the places called Wilby, in Suffolk, Norfolk, and Northamptonshire. The first is probably named from an Old English wilig ‘willow’ + Old English bēag ‘circle’; the second has the same first element + Old Norse býr ‘farmstead’ or Old English bēag, and the last is named with the Old English or Old Scandinavian personal name Villi + býr.
Girl/Female
Tamil
Shaakya | ஷாகà¯à®¯à®¾à®‚
Lord Buddha, Energy circle or a form of chakra
Shaakya | ஷாகà¯à®¯à®¾à®‚
Girl/Female
Hindu
Lord Buddha, Energy circle or a form of chakra
Girl/Female
Hindu
Lord Buddha, Energy circle or a form of chakra
Boy/Male
French Israeli
The circle.
CARTESIAN CIRCLE
CARTESIAN CIRCLE
Surname or Lastname
English
English : variant of Leeming.
Boy/Male
Hindu, Indian
New Aire
Boy/Male
English American Dutch
Man from Britain.
Girl/Female
Muslim
One we take care of
Surname or Lastname
English
English : unexplained. Compare Slaton.
Girl/Female
Hindu, Indian, Marathi, Modern, Sanskrit
Beautiful; Name of Goddess; Happy
Boy/Male
Hindu
As fast as Kaushal
Girl/Female
British, Hindu, Indian, Tamil, Telugu
Another Name of Lord Vishnu
Boy/Male
Indian
Karna, The great warrior, One who is born from fire (Son of the fire)
Boy/Male
Tamil
Daitya Sai | தைதà¯à®¯ ஸாஈ
Non Aryan
CARTESIAN CIRCLE
CARTESIAN CIRCLE
CARTESIAN CIRCLE
CARTESIAN CIRCLE
CARTESIAN CIRCLE
a.
Of or pertaining to the French philosopher Rene Descartes, or his philosophy.
n.
A variety of chalcedony, of a clear, deep red, flesh red, or reddish white color. It is moderately hard, capable of a good polish, and often used for seals.
n.
An instrument for clutching objects for the purpose of raising them; -- specially applied to devices for withdrawing drills, etc., from artesian and other wells that are drilled, bored, or driven.
n.
Same as Carnelian.
n.
A precious stone, probably a carnelian, one of which was set in Aaron's breastplate.
n.
The system of occasional causes; -- a name given to certain theories of the Cartesian school of philosophers, as to the intervention of the First Cause, by which they account for the apparent reciprocal action of the soul and the body.
n.
An adherent of Descartes.
a.
Having the form of a circle; round.
n.
A Carthusian monastery; esp. La Grande Chartreuse, mother house of the order, in the mountains near Grenoble, France.
n.
A bead of rough carnelian. Arangoes were formerly imported from Bombay for use in the African slave trade.
n.
A member of an exceeding austere religious order, founded at Chartreuse in France by St. Bruno, in the year 1086.
n.
A Carthusian.
n.
A little circle; esp., an ornament for the person, having the form of a circle; that which encircles, as a ring, a bracelet, or a headband.
n.
Sard; carnelian.
v. i.
To pass by degrees; to change gradually; to shade off; as, sandstone which graduates into gneiss; carnelian sometimes graduates into quartz.
a.
Of or pertaining to Artois (anciently called Artesium), in France.
a.
Pertaining to the Carthusian.
n.
A well known public school and charitable foundation in the building once used as a Carthusian monastery (Chartreuse) in London.
n.
A variety of carnelian, of a rich reddish yellow or brownish red color. See the Note under Chalcedony.
v. i.
To move circularly; to form a circle; to circulate.