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Longer titles found: Non-Euclidean geometry (view)

searching for Euclidean geometry 75 found (1267 total)

Pseudo-Euclidean space (2,365 words) [view diff] exact match in snippet view article find links to article

hold in general. Hence terms norm and distance are avoided in pseudo-Euclidean geometry, which may be replaced with scalar square and interval respectively

Horosphere (381 words) [view diff] exact match in snippet view article find links to article

hyperplane at a given point, as their radii go towards infinity. In Euclidean geometry, such a "hypersphere of infinite radius" would be a hyperplane, but

Digon (777 words) [view diff] no match in snippet view article find links to article

In geometry, a digon, or a 2-gon, is a polygon with two sides (edges) and two vertices. Its construction is degenerate in a Euclidean plane because either

Sum of squares (702 words) [view diff] no match in snippet view article find links to article

In mathematics, statistics and elsewhere, sums of squares occur in a number of contexts: For partitioning of variance, see Partition of sums of squares

Limiting parallel (333 words) [view diff] no match in snippet view article find links to article

In neutral or absolute geometry, and in hyperbolic geometry, there may be many lines parallel to a given line l {\displaystyle l} through a point P {\displaystyle

Involution (mathematics) (2,206 words) [view diff] no match in snippet view article

In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain

Vector (mathematics and physics) (2,015 words) [view diff] no match in snippet view article

In mathematics and physics, vector is a term that refers informally to some quantities that cannot be expressed by a single number (a scalar), or to elements

Maurice Princet (950 words) [view diff] exact match in snippet view article find links to article

Princet "the father of cubism": M. Princet has studied at length non-Euclidean geometry and the theorems of Riemann, of which Gleizes and Metzinger speak

Convex set (3,037 words) [view diff] no match in snippet view article find links to article

In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset

Isaak Yaglom (1,343 words) [view diff] exact match in snippet view article find links to article

corresponds to the Galilean angle. Yaglom extensively develops his non-Euclidean geometry including the theory of cycles (pp. 77–79), duality, and the circumcycle

Pentagonal tiling (2,615 words) [view diff] no match in snippet view article find links to article

In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. A regular pentagonal tiling on the

One-seventh area triangle (343 words) [view diff] exact match in snippet view article find links to article

construction and area computation was given by Robert Potts in 1859 in his Euclidean geometry textbook. According to Cook and Wood (2004), this triangle puzzled

Affine geometry of curves (800 words) [view diff] exact match in snippet view article find links to article

{\mbox{SL}}(n,\mathbb {R} )\ltimes \mathbb {R} ^{n}.} In the classical Euclidean geometry of curves, the fundamental tool is the Frenet–Serret frame. In affine

Bapudeva Sastri (255 words) [view diff] case mismatch in snippet view article find links to article

the Sehore Sanskrit school where he studied Siddhānta Shiromani, Euclidean Geometry and European science in general under Pandit Sevarama and Wilkinson

Horocycle (1,291 words) [view diff] exact match in snippet view article find links to article

Society. pp. 141–2. ISBN 9780821875711. Coxeter, H.S.M. (1998). Non-Euclidean geometry (6. ed.). Washington, DC: Mathematical Assoc. of America. pp. 243–244

Henry Forder (460 words) [view diff] case mismatch in snippet view article find links to article

about writing a series of well received textbooks. His Foundations of Euclidean Geometry (1927) was reviewed by F.W. Owens, who noted that 40 pages are devoted

Hans Schwerdtfeger (128 words) [view diff] case mismatch in snippet view article find links to article

of Complex Numbers: Circle Geometry, Möbius Transformations, Non-Euclidean Geometry which: ... should be in every library, and every expert in classical

Non-inertial reference frame (1,519 words) [view diff] exact match in snippet view article find links to article

to be locally inertial, but globally non-inertial. Due to the non-Euclidean geometry of curved space-time, there are no global inertial reference frames

Fourth dimension in art (1,680 words) [view diff] case mismatch in snippet view article find links to article

Henderson, Linda Dalrymple. "Overview of The Fourth Dimension And Non-Euclidean Geometry In Modern Art, Revised Edition". MIT Press. Archived from the original

Conformal group (1,937 words) [view diff] exact match in snippet view article find links to article

q) ≃ O(p + 1, q + 1) / Z2. All conformal groups are Lie groups. In Euclidean geometry one can expect the standard circular angle to be characteristic, but

Linda Dalrymple Henderson (884 words) [view diff] case mismatch in snippet view article find links to article

Texas at Austin's Blanton Museum of Art. The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983; enlarged ed., MIT

Geometry from the Land of the Incas (365 words) [view diff] exact match in snippet view article find links to article

and Incan history with the goal of raising students' interest in Euclidean geometry. Numerous problems are presented with step-by-step solutions for each

Trillium theorem (1,066 words) [view diff] exact match in snippet view article find links to article

original triangle. The theorem is helpful for solving competitive Euclidean geometry problems, and can be used to reconstruct a triangle starting from

Tommy Bonnesen (264 words) [view diff] exact match in snippet view article find links to article

Analytiske studier over ikke-euklidisk geometri (Analytic studies of non-Euclidean geometry). He was the Professor for Descriptive Geometry at the Polytekniske

Giordano Vitale (751 words) [view diff] case mismatch in snippet view article find links to article

Open Court Publishing Company, Chicago] [Roberto Bonola (1912), "Non-Euclidean Geometry", p.15, The Open Court Publishing Company, Chicago] [George Edward

Hyperbolic law of cosines (1,686 words) [view diff] case mismatch in snippet view article find links to article

Hyperbolic Theory of Relativity. arXiv:1102.0462. Bonola, R. (1912). Non-Euclidean Geometry: A Critical and Historical Study of Its Development. Chicago: Open

Kazan Federal University (4,451 words) [view diff] exact match in snippet view article find links to article

existing tertiary education institution in Russia. Founder of non-Euclidean geometry Nikolai Ivanovich Lobachevsky served there as the rector from 1827

Japanese theorem for cyclic polygons (455 words) [view diff] exact match in snippet view article find links to article

The steps of this theorem require nothing beyond basic constructive Euclidean geometry. With the additional construction of a parallelogram having sides

MathPath (516 words) [view diff] exact match in snippet view article find links to article

American schools, or taught in much depth, such as non-Euclidean geometry, advanced Euclidean geometry, number theory, combinatorics, induction, spherical

Imre Tóth (philosopher) (1,291 words) [view diff] exact match in snippet view article

who specialized in the philosophy of mathematics. He worked on non-Euclidean geometry, mathematical irrationality, freedom, Plato and Platonism, Aristotle

Jeremy Gray (966 words) [view diff] case mismatch in snippet view article find links to article

Spanish translation El reto de Hilbert Critica, 2004. Janos Bolyai, non-Euclidean Geometry and the Nature of Space. Burndy Library, MIT, 2004. Worlds out of

Pseudosphere (1,125 words) [view diff] exact match in snippet view article find links to article

della geometria non euclidea" [Treatise on the interpretation of non-Euclidean geometry]. Gior. Mat. (in Italian). 6: 248–312. (Also Beltrami, Eugenio (July

Cevian (927 words) [view diff] case mismatch in snippet view article find links to article

artofproblemsolving.com. Retrieved 2018-10-22. Johnson, Roger A., Advanced Euclidean Geometry, Dover Publ., 2007 (orig. 1929), p. 70. Alfred S. Posamentier and

Modern triangle geometry (3,686 words) [view diff] case mismatch in snippet view article find links to article

"Computer Discovered Encyclopedia of Euclidean Geometry". Computer Discovered Encyclopedia of Euclidean Geometry. Sava Grozdev, Hiroshi Okumura, Deko

Coastline paradox (2,693 words) [view diff] exact match in snippet view article find links to article

coastline approaches infinity. Richardson had believed, based on Euclidean geometry, that a coastline would approach a fixed length, as do similar estimations

Lillian Rosanoff Lieber (1,406 words) [view diff] case mismatch in snippet view article find links to article

MITS, Infinity, and The Einstein Theory of Relativity. 1931 Non-Euclidean Geometry, Academy Press. 1932 Galois and the Theory of Groups, Science Press

Caroline Series (921 words) [view diff] exact match in snippet view article find links to article

1007/bf03025802. ISSN 0343-6993. S2CID 122241136. Series, Caroline (1982). "Non-euclidean geometry, continued fractions, and ergodic theory". The Mathematical Intelligencer

Paul Jean Joseph Barbarin (839 words) [view diff] exact match in snippet view article find links to article

contains supplementary chapters by A. Buhl on the relation between non-Euclidean geometry and physics. ... Barbarin was a high-school teacher in Bordeaux. We

Projective orthogonal group (1,874 words) [view diff] exact match in snippet view article find links to article

orthogonal groups are of interest for (projective) geometric analogs of Euclidean geometry, as related Lie groups, and in representation theory. More intrinsically

Fuhrmann circle (278 words) [view diff] case mismatch in snippet view article find links to article

the radius of the triangles incircle. Roger A. Johnson: Advanced Euclidean Geometry. Dover 2007, ISBN 978-0-486-46237-0, pp. 228–229, 300 (originally

H. F. Baker (746 words) [view diff] exact match in snippet view article find links to article

Principles of geometry. Volume 2. Plane geometry, Conics, circles, non-Euclidean geometry, Cambridge Library Collection, Cambridge University Press, doi:10

Ideal polyhedron (3,216 words) [view diff] exact match in snippet view article find links to article

polyhedra – a polyhedron can be ideal only when it can be represented in Euclidean geometry with all its vertices on a circumscribed sphere. Using linear programming

Jeremiah J. Callahan (1,424 words) [view diff] exact match in snippet view article find links to article

was Father Raymond V. Kirk. Callahan was an academic who studied Euclidean geometry. The first volume of his book Euclid or Einstein? A Proof of the Parallel

List of formulae involving π (7,443 words) [view diff] exact match in snippet view article find links to article

Latin). Vol. 1. p. 244 Wästlund, Johan. "Summing inverse squares by euclidean geometry" (PDF). The paper gives the formula with a minus sign instead, but

Birchpunk (174 words) [view diff] exact match in snippet view article find links to article

produces "fractal cukes, möbius carrots and other vegetables defiant of euclidean geometry." Nikolai keeps it operational by tinkering parts from a scrapped

Algebraic curve (7,984 words) [view diff] no match in snippet view article find links to article

In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in

Separability (245 words) [view diff] exact match in snippet view article find links to article

separability, a geometric property of a pair of sets of points in Euclidean geometry Recursively inseparable sets, in computability theory, pairs of sets

Deirdre Smeltzer (504 words) [view diff] case mismatch in snippet view article find links to article

coauthor of two undergraduate textbooks in mathematics: Methods for Euclidean Geometry (with Owen Byer and Felix Lazebnik, Mathematical Association of America

Method of Fluxions (547 words) [view diff] exact match in snippet view article find links to article

solutions were not known to be reducible to the synthetic rules of Euclidean geometry. Instead, analysts were often forced to invoke infinitesimal, or "infinitely

Orthogonal group (7,820 words) [view diff] no match in snippet view article find links to article

In mathematics, the orthogonal group in dimension n, denoted O(n), is the group of distance-preserving transformations of a Euclidean space of dimension

Motion (geometry) (1,517 words) [view diff] case mismatch in snippet view article

of distance in hyperbolic geometry when he wrote Elements of Non-Euclidean Geometry. He explains: By a motion or displacement in the general sense is

Harold Scott MacDonald Coxeter (1,470 words) [view diff] case mismatch in snippet view article find links to article

Zeitschrift 46: 380–407, MR 2,10 doi:10.1007/BF01181449 1942: Non-Euclidean Geometry (1st edition), (2nd ed, 1947), (3rd ed, 1957), (4th ed, 1961), (5th

Origamics (427 words) [view diff] exact match in snippet view article find links to article

through these activities. These parts use only elementary methods in Euclidean geometry, such as the Pythagorean theorem and the use of triangle centers,

Secant line (1,006 words) [view diff] exact match in snippet view article find links to article

Sylvester–Gallai theorem of incidence geometry states that if n points of Euclidean geometry are not collinear then there must exist a 2-secant of them. And the

Extended side (344 words) [view diff] case mismatch in snippet view article find links to article

points which lie on a straight line, called the Pascal line of the hexagon. Johnson, Roger A., Advanced Euclidean Geometry, Dover Publ., 2007 (orig. 1929).

Extended side (344 words) [view diff] case mismatch in snippet view article find links to article

points which lie on a straight line, called the Pascal line of the hexagon. Johnson, Roger A., Advanced Euclidean Geometry, Dover Publ., 2007 (orig. 1929).

Circle Limit III (1,174 words) [view diff] exact match in snippet view article find links to article

with these angles are possible in hyperbolic geometry but not in Euclidean geometry. This tessellation may be interpreted as depicting the lines of reflection

Hyperbolic angle (2,439 words) [view diff] exact match in snippet view article find links to article

curve as a logarithmic function of the point's value of x. Whereas in Euclidean geometry moving steadily in an orthogonal direction to a ray from the origin

Elementary theory (115 words) [view diff] exact match in snippet view article find links to article

of finite fields The theory of real closed fields Axiomization of Euclidean geometry Elementary definition Elementary theory of the reals Mac Lane and

Alfred S. Posamentier (3,091 words) [view diff] case mismatch in snippet view article find links to article

Research-Based Strategies to Help Students Learn (Corwin, 1998) Advanced Euclidean Geometry (Wiley, 2002) Math Wonders: To Inspire Teachers and Students (ASCD

Eleven-point conic (113 words) [view diff] exact match in snippet view article find links to article

Principles of geometry. Volume 2. Plane geometry, Conics, circles, non-Euclidean geometry, Cambridge Library Collection, Cambridge University Press, ISBN 978-1-108-01778-7

Revolutions in Mathematics (418 words) [view diff] exact match in snippet view article find links to article

from Newton to Berkeley and Maclaurin (134–168); Yu Xin Zheng, Non-Euclidean geometry and revolutions in mathematics (169–182); Luciano Boi, The "revolution"

Alessandro Padoa (893 words) [view diff] case mismatch in snippet view article find links to article

of Mathematicians with his title "A New System of Definitions for Euclidean Geometry". At the outset he discusses the various selections of primitive notions

Pasch's theorem (259 words) [view diff] exact match in snippet view article find links to article

originally included Pasch's theorem as an axiom in his modern treatment of Euclidean geometry in The Foundations of Geometry (1899). However, it was found by E

George Bell & Sons (1,081 words) [view diff] case mismatch in snippet view article find links to article

Tune With The Infinite Duncan Sommerville (1914) The Elements of Non-Euclidean Geometry David Wooster - Alpine Plants The Aldine Edition of the British Poets

Norman Johnson (mathematician) (708 words) [view diff] case mismatch in snippet view article

original on 2022-05-20. Retrieved 2022-05-20. ———— (December 1969). "Euclidean Geometry and Convexity by Russell V. Benson (review)". The American Mathematical

Isotomic conjugate (318 words) [view diff] case mismatch in snippet view article find links to article

Geometry, Macmillan and Co., 1893, page 57. Roger A. Johnson: Advanced Euclidean Geometry. Dover 2007, ISBN 978-0-486-46237-0, pp. 157–159, 278 Weisstein, Eric

Brocard circle (420 words) [view diff] case mismatch in snippet view article find links to article

Honsberger, Ross (1995), Episodes in Nineteenth and Twentieth Century Euclidean Geometry, New Mathematical Library, vol. 37, Cambridge University Press, p

Friedrich Schilling (733 words) [view diff] exact match in snippet view article find links to article

(Lectures on non-Euclidean geometry) was published posthumously by Springer Verlag. Schilling himself wrote several books on non-Euclidean geometry, which were

Median triangle (137 words) [view diff] case mismatch in snippet view article find links to article

3 4 {\displaystyle {\tfrac {3}{4}}} . Roger A. Johnson: Advanced Euclidean Geometry. Dover 2007, ISBN 978-0-486-46237-0, pp. 282–283 Claudi Alsina, Roger

Affine plane (585 words) [view diff] case mismatch in snippet view article find links to article

"Foundations of Geometry and Trigonometry", and of Yaglom, "A Simple Non-Euclidean Geometry and its Physical Basis". Paul Bamberg; Shlomo Sternberg (1991). A

AA (991 words) [view diff] exact match in snippet view article find links to article

Authoritative Answer bit, in DNS, a flag for a query answer AA postulate of Euclidean geometry Anti-aircraft, in military use Attoampere (aA), 10−18 Ampere, a unit

Chirality (mathematics) (969 words) [view diff] exact match in snippet view article

symmetry group contains at least one orientation-reversing isometry. (In Euclidean geometry any isometry can be written as v ↦ A v + b {\displaystyle v\mapsto

Turtle graphics (811 words) [view diff] exact match in snippet view article find links to article

"Rotational Cartesian Turtle". Other coordinate models, including non-Euclidean geometry, are allowed but not included. KTurtle L-system UCBLogo NetLogo FMSLogo

List of triangle topics (632 words) [view diff] exact match in snippet view article find links to article

triangle Heron's formula Hofstadter points Hyperbolic triangle (non-Euclidean geometry) Hypotenuse Incircle and excircles of a triangle Inellipse Integer