Geometry

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.

the Pythagorean theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.

In the mathematical field of geometric topology, the Poincaré conjecture (UK: , US: , French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere (the hypersphere that bounds the 4-ball in four-dimensional space).

the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry

In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon.

The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

The subject is part of differential geometry since Lie groups are differentiable manifolds.

Henri Brocard was a French mathematician best known for his discovery of the so-called Brocard points of a triangle.

Zimmer's conjecture is a statement in mathematics "which has to do with the circumstances under which geometric spaces exhibit certain kinds of symmetries." It was named after the mathematician Robert Zimmer.

In Euclidean geometry, the tangent-secant theorem describes the relation of line segments created by a secant and a tangent line with the associated circle.

Apollonius of Perga was known as 'The Great Geometer'

Lorenzo Mascheroni was a geometer who proved in 1797 that all Euclidean constructions can be made with compasses alone, so a straight edge in not needed.

The book contains a proof that all Euclidean constructions can be carried out with compasses alone.

Jean-Victor Poncelet was one of the founders of modern projective geometry.

was a German geometer

worked on Geometry and Analysis

work was mainly in geometry

Bernard Lamy was a French mathematician who wrote on geometry and mechanics.

Girard Desargues was a French mathematician who was a founder of projective geometry.

However the son of the Duke requested that Commandino prepare a Latin translation of Euclid 's Elements and he set to work enthusiastically on this major task.

an Israeli mathematician working in geometry and combinatorics

His main works were in the areas of geometry and complex analysis.

His book Mémoire sur les lignes du second ordre

Haupt specialized in geometry and real analysis

Hjelmslev worked in geometry and history of geometry.

Vincenzo Viviani was an Italian engineer who worked on the geometry of the cycloid.

Lemoine's contribution to mathematics was mainly on geometry

Clifford was above all and before all a geometer.

he began working on the foundations of geometry

Ptolemy devised new geometrical proofs and theorems.

in particular on fractal geometry

Unsolved Problems in Geometry

was a respected Irish geometer

which is often thought to have been the construction now known as the Spiral of Theodorus

Her research focused on hyperbolic geometry, dynamical systems, complex analysis, and topology.

known for his work on the inscribed square problem

Continuous groups of projective transformations treated synthetically

Another result by Hesse which has proved particularly influential is the 'principle of transfer' which he gave in 1866 during his work on projective geometry.

In 1870 Hierholzer wrote his habilitation about conic sections

Ludwig Schläfli 's work was in geometry, arithmetic and function theory.

In geometry, the Schläfli symbol is a notation of the form

By this time he had developed a strong preference for geometry.

was a German mathematician who specialized in descriptive geometry

fundamental contributions to the field of analytical geometry

His life was devoted to the study of geometry

working in complex analysis, geometry, algebra, number theory, Lie groups, and knot theory

known for his textbooks of geometry and his contributions to descriptive geometry

specializing in descriptive geometry

Studier over den plane Geometris Axiomer

Problemas de geometría analítica (1865)

is centred basically on geometry and, specifically, on invariant theory

who worked on group theory and incidence geometry

is a cubic plane curve defined from two diametrically opposite points of a circle

professeur de géométrie et de théorie des groupes

Halley was appointed Savilian professor of geometry at Oxford in 1704

This resulted in two major publications on geometry in 1912 and 1916.

Adriaan Anthonisz (also known as Adriaen Anthonisz of Alcmaer) (1527-1607) was a Dutch mathematician, surveyor, cartographer, and military engineer who specialized in the design of fortifications.

van Roomen (29 September 1561-4 May 1615), also known as Adrianus Romanus, was a mathematician, professor of medicine and medical astrologer from the Duchy of Brabant in the Habsburg Netherlands who was active throughout Central Europe in the late

A prolific author in both Arabic and Persian, Sheikh Bahaʾī composed over one hundred treatises spanning jurisprudence, logic, astronomy, mathematics, and theology-primarily in his mother tongue, Arabic.

Bernardino Baldi (5 June 1553-10 October 1617) was an Italian mathematician, poet, translator and priest. == Biography == Baldi descended from a noble family from Urbino, Marche, where he was born.

Camillo Agrippa (1520-1 January 1600) was a noted fencer, architect, engineer and mathematician of the Renaissance.

Clavius, (25 March 1538-6 February 1612) was a Jesuit German mathematician and physicist, head of mathematicians at the Collegio Romano, and astronomer who was a member of the Vatican commission that accepted the proposed calendar invented by

he spent the rest of his life obtaining better approximations to π using Archimedes ' method with regular polygons with many sides

Digges wrote on platonic solids and archimedian solids

Conrad Dasypodius (1532-26 April 1600) was a Swiss astronomer, mathematician, and writer.

David Gans (Hebrew: דָּוִד בֶּן שְׁלֹמֹה גנז; ‎1541-25 August 1613), also known as Rabbi Dovid Solomon Ganz, was a German-Jewish chronicler, mathematician, historian, astronomer and astrologer.

Barozzi helped in the general reappraisal of the geometry of Euclid

was a Dutch geometer and astronomer

he constructed an early pantograph enabling him to draw accurate geometric perspective

the solution of problems in measuring the circumference, area and angles of a circle

His works on Euclidean geometry (Paris, 1644 and 1654) were translated into English

Gaṇeśa Daivajna (born c. 1507, fl. 1520-1554) was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars.

(Gianbattista) Benedetti (14 August 1530-20 January 1590) was an Italian mathematician from Venice who was also interested in physics, mechanics, the construction of sundials, and the science of music. == Science of motion == In his works

elaborated the theory of conic sections on the basis of Commandino's editions of Archimedes

Andreas Albrecht (Nuremberg 1586, Hamburg 1628) was a German mathematician and engineer.

Augustin Hirschvogel (1503, February 1553) was a German artist, mathematician, and cartographer known primarily for his etchings.

Bartolomeo Sovero (1576-23 July 1629) was a Swiss mathematician. == Biography == Sovero was born in Corbières in 1576.

Guidobaldi or Guido Baldi), Marquis del Monte, was an Italian mathematician, philosopher and astronomer of the 16th century. == Biography == Del Monte was born in Pesaro.

Johannes Praetorius or Johann Richter (1537-27 October 1616) was a German mathematician and astronomer. == Life == Praetorius was born in Jáchymov, Bohemia.

Juan Bautista Villalpando also Villalpandus, or Villalpanda (1552-22 May 1608) was a Spanish priest, a member of the Jesuits, a scholar, mathematician, and architect. == Life == Villalpando was born in Córdoba, Spain, in 1552.

Juan de Herrera (1530-15 January 1597) was a Spanish architect, mathematician and geometrician.

Leonard Digges (c.1515, c.1559) was a English mathematician and surveyor, credited with the invention of the theodolite, and a great populariser of science through his writings in English on surveying, cartography, and military engineering.

Ostilio Ricci da Fermo (1540-1603) was an Italian mathematician. == Biography == He was a university professor in Florence at the Accademia delle Arti del Disegno, founded in 1560 by Giorgio Vasari.

Pedro Nunes (Portuguese: [ˈpeðɾu ˈnunɨʃ]; Latin: Petrus Nonius; 1502-11 August 1578) was a Portuguese mathematician, cosmographer, and professor, probably from a New Christian (of Jewish origin) family.

Thomas Blundeville (c. 1522, c. 1606) was an English humanist writer and mathematician.

He spent the years 1598-1601 in Ingolstadt studying philosophy (metaphysics and mathematics).

Xu Guangqi or Hsü Kuang-ch'i (April 24, 1562, November 8, 1633), also known by his baptismal name Paul or Paul Siu, was a Chinese agronomist, astronomer, mathematician, politician, and writer during the late Ming dynasty.

A mathematician and physicist who studied in Italy, England and Belgium, his best results are mainly in physics, especially optics, and mathematics.

Johannes Storms of Mechelen, also known as Joannes Sturmius Mechlinianus, or simply Sturmius or Mechlinianus (1559-1650) was a mathematician, physician and poet from the Spanish Netherlands. == Life == Sturmius was born in Mechelen on 29 August 1559.

Alexander Anderson (c. 1582 in Aberdeen, c. 1620 in Paris) was a Scottish mathematician. == Life == He was born in Aberdeen, possibly in 1582, according to a print which suggests he was aged 35 in 1617.

Daniel Schwenter (Schwender) (31 January 1585-19 January 1636) was a German Orientalist, mathematician, inventor, poet, and librarian. == Biography == Schwenter was born in Nuremberg.

Edmund Gunter (1581-10 December 1626), was an English clergyman, mathematician, geometer and astronomer of Welsh descent.

François d'Aguilon (French pronunciation: [fʁɑ̃swa daɡilɔ̃]; also d'Aguillon or in Latin Franciscus Aguilonius) (4 January 1567-20 March 1617) was a Jesuit, mathematician, physicist, and architect from the Spanish Netherlands.

Jan Brożek or Johannes Broscius (November 1585-21 November 1652) was the most prominent Polish mathematician of his era and an early biographer of Copernicus.

1 March 1597 and died in Barcelona, 4 November 1652, was a Flemish Jesuit priest from Brabant, and a mathematician of repute. == Biography == Jean-Charles della Faille was born in Antwerp, part of the Spanish Empire at that

Claude Mydorge (1585, July 1647) was a French mathematician.

Muzio or Mutio Oddi (15 December 1569-15 December 1639) was an Italian mathematician and Gnomonist. == Biography == He was born to Lisabetta Genga and Lattanzio Oddi.

Paul Guldin (born Habakkuk Guldin; 12 June 1577 (Mels), 3 November 1643 (Graz)) was a Swiss Jesuit mathematician and astronomer.

Pierre Hérigone (Latinized as Petrus Herigonius) (1580-1643) was a French mathematician and astronomer.

Richard Norwood (b. c. 1590, d. 1675) was an English mathematician, diver, and surveyor.

Peter Turner (1586-1652) was an English mathematician. == Life == He matriculated at St Mary Hall, Oxford in 1600, and graduated M.A. at Christ Church, Oxford in 1605.

Richard White (Latin: Ricardus Albius; 1590-1682) was an English mathematician and physicist.

Marolois (c. 1572, before 1627) was a Dutch mathematician and military engineer who is best known for his work on perspective. == Life and work == Marolois (or Marlois) was born c. 1572 in the Dutch Republic (possibly in The Hague) as son of Nicolas

Converting to Roman Catholicism under the influence of the Chinese Jesuit mission, he became a protégé of Paul Xu, who instructed him in western mathematics and use of firearms.

Vincent Léotaud (1595-1672) was a French Jesuit mathematician.

best known of his works, Observationes Cyclometricae ad facilitandam Praxin accommodatae, is devoted to the squaring the circle (or alternatively, the quadrature of the circle) and was published in 1685 in the leading scientific periodical of the time, Acta

he has a better claim to distinction in having been the first mathematician to study the properties of the

Antoine Parent (September 16, 1666, September 26, 1716) was a French mathematician, born in Paris and died there, who wrote in 1700 on analytical geometry of three dimensions.

As a fellow of the Royal College of Physicians, the author of a treatise on anatomy, Syllabus Musculorum, which was used for many years as a textbook, and a translator and commentator on the first six books of Euclid's Elements, published in 1705.

His first published original works were two papers on the duplication of the cube, titled Examen and Refutation, they were published in 1630 and 1638 respectively.

Frans van Schooten Jr., also rendered as Franciscus van Schooten (1615-29 May 1660), was a Dutch mathematician who is most known for popularizing the analytic geometry of René Descartes.

Savilian Chair of Geometry

number theory and geometry

inscribing three mutually tangent circles in a triangle

Another of Roberval’s discoveries was a very general method of drawing tangents, by considering a curve as described by a moving point whose motion is the resultant of several simpler motions.

La Hire wrote on graphical methods, 1673; on conic sections, 1685; a treatise on epicycloids, 1694; one on roulettes, 1702; and, lastly, another on conchoids, 1708.

His Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problêmes tant déterminés qu'indéterminés ("Analytic treatise on conic sections") was published posthumously in Paris in 1707.

His only mathematical work, published in 1699 was the Opuscula Mathematica (Mathematical Essays), which dealt with geometry, gravity and arithmetic.

Elementa Curvarum Linearum has been described as the first textbook in analytic geometry.

She spoke eight languages and was interested in geometry, natural science and mathematics.

de toutes les monnoyes (1669) Le Livre facile pour apprendre l’arithmétique de soy-même & sans maître (1672) La géométrie servant au mesurage et à l'arpentage : ,ouvrage si facile & si commode, que par la seule addition on peut mesurer toutes sortes de

He was Gresham Professor of Geometry at Gresham College, London

Geometricall Dyalling, or Dyalling performed by a Line of Chords only

In mathematics Grandi is best known for his work Flores geometrici (1728), studying the rose curve, a curve which has the shape of a petalled flower, and for Grandi's series.

From 1654 to 1667, he devoted himself to the study of geometry, continuing the research of Cavalieri and Evangelista Torricelli based on the method of Indivisibles.

Jacques-François Le Poivre (11 February 1652-6 December 1710) was a mathematician and geometer who was a pioneer of projective geometry.

did research on mathematical analysis, geometry, and mechanics

He is best known for his theorem on Saccheri quadrilaterals.

mainly known for his work in geometry

posing the Malfatti problem

He is known for being the first to calculate the volume of a sphere using very thin slices, and to use inscribed and circumscribed polygones to approximate the circumference of a circle, and hence π.

noted for his work on geometry

credited with the introduction of polar coordinates

He was the first to show how the tangents at the multiple points of curves could be determined by mathematical analysis.

Analoghe proportioni sopra il non anche risoluto problema d'Euclide per la quadratura del circolo.

Caravaggio is well known for the work In geometria male restaurata that he dedicated to king Philip IV of Spain, in which he introduces geometry as the queen of arts, architecture, industry, and domain of the territory.

In his second work he dealt with mathematical analysis according to the basic elements of Newton's method, and provided also a full course of geometry, algebra and trigonometry.

He contributed 270 articles to the Encyclopédie in the subjects of arithmetic and geometry.

In 1740, he published a work on analytical geometry in which he applied geometry, without the aid of differential calculus, to find the tangents, asymptotes, and various singular points of an algebraic curve.

Fagnano is known for Fagnano's problem, the problem of inscribing a minimum-perimeter triangle within an acute triangle.

In 1716 he obtained the Galileo-chair at the University of Padua, where he worked on differential equations and geometry.

Exercitatio geometrica de dimensione figurarum, via Google Books 1695: Catoptricæ et dioptricæ sphæricæ elementa Archived 7 July 2015 at the Wayback Machine - digital facsimile from the Linda Hall Library 1703: (editor) Euclides quae supersunt omnia

His Essai de perspective ("Essay on Perspective"), published in 1711, was praised by the influential Swiss mathematician Johann Bernoulli.

Elementa geometriae planae.

Part 2: Élémens de géométrie, théorique et pratique (1750).

He was also named lecturer of geometry, endowed by his brother Marco Antonio Collina Sbaraglia.

and to some extent also the Moon and the planets for the Gregorian calendar for the Ljubljana meridian, a geometry manual, writings about squaring the circle, and his own observations on the Sun and

He was author of the following memoirs and treatises: Of the Tangents of Curves, published in Philosophical Transactions vol. xxiii; A Treatise on Spherical Catoptrics, published in the Phil.

From 1701 and until his death, he taught arithmetic, geometry and trigonometry at the Moscow School of Mathematics and Navigation, becoming its director in 1716.

He published a treatise on mathematics and a translation of the works of Euclid.

on finding a scientific solution to the problems presented by perspective, Niceron worked out the geometric algorithms for producing anamorphic art and in 1638, at the age of 25, published a treatise titled La perspective curieuse, ou magie

Collège royal de France, 4 vol., 1734-1739 Traité synthétique des lignes du premier et du second genre, ou Éléments de géométrie dans l'ordre de leur

Le Journal des savants reported in detail the observations he made in this work on geometry and infinitely small numbers.

In mathematics he is most known for obtaining the angle in the rhombic dodecahedron shape in 1712, which is still called the Maraldi angle.

Dangicourt's publications include works on conic sections and on the binary number system invented by Leibniz.

Theodorus Moretus, also known as Theodor or Theodore Moretus (1602-1667) was a Flemish Jesuit priest who was also a mathematician, geometer, theologian and philosopher.

1651: Cylindricorum et annularium libri IV (Antwerp) full text 1654: Elementa geometriae (Antwerp) 1656: Arithmeticae theoria et praxis (Louvain) 1659: Cylindricorum et annularium liber V (Antwerp) full text 1669: Opera mathematica (in Latin).

In 1700 a tutor taught him algebra and geometry, and in 1702 he attended Attercliffe Academy, near Sheffield, for logic and metaphysics.

Machina motum perpetuum exhibens, 1661 Machina exhibendo motui perpetuo artificiali idonea, 1663 Geometra Polski: Księga 1, Księga 2, Księga 3, 1683-1686 Architekt Polski, 1688 Solski, Stanislaw (1688).

Mathematical Treatise: Containing a System of Conic-sections; with the doctrine of fluxions and fluents, applied to various subjects (1736) A Treatise Containing the Elementary Part of Fortification (1746) Elements of Mathematics (1748, also titled A System

He is known for his work about the theory and practice of perspective.

Jean-Baptiste Biot was a French mathematician who worked in astronomy, elasticity, electricity and magnetism, heat, optics and geometry.

Geometry and the Mechanical Part of Mathematics

He was the founder of the synthetic school, whose teaching centred on pure geometry and the methods of classical mathematics.

Colin Maclaurin (; Scottish Gaelic: Cailean MacLabhruinn ; February 1698-14 June 1746) was a Scottish mathematician who made important contributions to geometry and algebra.

In 1806, while managing a bookstore in Paris, he published the idea of the geometrical interpretation of complex numbers known as the Argand diagram and is known for the first rigorous proof of the fundamental theorem of algebra.

Towards the close of 1794, when the École polytechnique was established, he was appointed along with Monge over the department of descriptive geometry.

The most common subject of articles in his journal was geometry, Gergonne's specialty.

a study of the method of reciprocal polars in projective geometry

his main contributions are translations of Euclidean geometry

Playfair's textbook Elements of Geometry made a brief expression of Euclid's parallel postulate known now as Playfair's axiom.

He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics.

In the meantime, he continued his studies in the fields of algebra, geometry, probability theory and number theory, which were based on the works of Kästner, Leonhard Euler and Georg Simon Klügel.

A System of Popular Geometry (John Taylor, London, 1826).

Her paper The Explanation of the Pythagorean Theorem and Trigonometry focuses on foundational geometric principles

With him young Galilei worked on the study of building techniques, stereometry, hydraulics.

He is known for attempting to solve doubling the cube.

Dandelin's theorem in geometry

He was professor of geometry for 26 years at the University of Turin.

He concerned himself above all with geometry.

Olivier is mainly known for the construction of three-dimensional models of geometry for pedagogical purposes.

He also published a number of introductory works on solid geometry incorporating fold-up figures

seven text books on algebra, geometry, mechanics and calculus

published a paper about the inversion transformation, which leads to inversive geometry

Wallace's work was on geometry

In 1680 he studied the Cassinian curve which is the locus of a point the product of whose distances from two fixed foci is constant.

In geometry, a Cassini oval is a quartic plane curve

Bonnycastle's Elements of geometry (1789) contains the propositions from Euclid

Anaxagoras of Clazomenae dealt with many questions in geometry

Zhang also gave formulae for the volume of a sphere in terms of the volume of the circumscribing cube.

In geometry, a circular segment or disk segment

He became a tutor to the Kangxi Emperor teaching him geometry

Klingenstierna was a professor of geometry at Uppsala University from 1728

He studied geometric systems called ray systems, closely connected to Julius Plücker's line geometry.

His book about practical geometry

He analyzed Descartes's Géométrie

the first to solve the problem of doubling the cube

finding the volume of a sphere as

The influential commentary on the first book of Euclid

In geometry the Braikenridge

Geometrical Problems

In geometry, the Braikenridge

He was the first to investigate the ellipse, parabola and hyperbola as sections of a cone.

which included a demonstration of Euclid's postulates that gained fame before the rise of non-Euclidean geometry and influenced most of the elementary geometry treatises of the 19th century

known for his numerous publications on geometry

who studied geometry in the tradition of Jakob Steiner

The Elements of Linear Perspective, Cambridge, 1811

Having won a prize assignment involving regular polyhedron

con alcune osservazioni sopra de' poligoni rettilinei regolari

a work on descriptive geometry and astronomy

known for his work in geometry, particularly symplectic geometry and Lie theory

made numerous contributions in algebraic topology, geometry, measure theory, probability theory, ergodic theory and entropy theory

was a German mathematician who studied geometry

Democritus was also a pioneer of mathematics and geometry in particular.

best known for his work on Euclid's Elements

Oswald Veblen Prize in Geometry

both about spherical geometry

which were for centuries the chief geometry textbooks in the West

He is credited with five theorems of elementary geometry.

who worked in geometry and mathematical physics

In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres (i.e., o

In geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space

In geometry, a dodecahedron or duodecahedron is any polyhedron with twelve flat faces.

In geometry, an icosahedron ( or ) is a polyhedron with 20 faces.

In geometry, a tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four

A cube is a three-dimensional solid object in geometry.

In geometry, an octahedron (pl.: octahedra or octahedrons) is any polyhedron with eight faces.

In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vert

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.

In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi-) triangular faces and twelve (do

Miquel's theorem is a result in geometry, named after Auguste Miquel, concerning the intersection of three circles, each drawn thr

In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal d

he generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey.

In Euclidean geometry, Carnot's theorem (English: kar-NOH, French: [kaʁno]) states that the sum of the signed distances from the c

In geometry, given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are col

In geometry, Monge's theorem, named after Gaspard Monge, states that for any three circles in a plane, none of which is completely

In Euclidean geometry, the British flag theorem says that if a point P is chosen inside a rectangle ABCD then the sum of the squar

In geometry, the Japanese theorem states that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is

In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has diagonals that are perpend

In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point

In Euclidean geometry, Anne's theorem describes an equality of certain areas within a convex quadrilateral.

In geometry, Clifford's theorems, named after the English geometer William Kingdon Clifford, are a sequence of theorems relating t

In plane geometry, the Conway circle theorem states that when the sides meeting at each vertex of a triangle are extended by the l

In geometry, the crossbar theorem states that if ray AD is between ray AC and ray AB, then ray AD intersects line segment BC.

In geometry, the equal incircles theorem derives from a Japanese Sangaku, and pertains to the following construction: a series of

In geometry, the five circles theorem states that, given five circles centered on a common sixth circle and intersecting each othe

In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hyp

In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to

In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R...

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.

er theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays

In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the

In Euclidean geometry, the intersecting secants theorem or just secant theorem describes the relation of line segments created by

In geometry, the Japanese theorem states that the centers of the incircles of certain triangles inside a cyclic quadrilateral are

Pompeiu's theorem is a result of plane geometry, discovered by the Romanian mathematician Dimitrie Pompeiu.

In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent

In geometry, the spiral of Theodorus (also called the square root spiral, Pythagorean spiral, or Pythagoras's snail) is a spiral c

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same

In geometry, an apeirogon (from Ancient Greek ἄπειροv apeiron 'infinite, boundless' and γωνία gonia 'angle') or infinite polygon i

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

In geometry, a point reflection (also called a point inversion or central inversion) is a geometric transformation of affine space

In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount proport

In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cart

In hyperbolic geometry, angle of parallelism Π ( a ) is the angle at the non-right angle vertex of a right hyperbolic triangle hav

In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles.

Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two

In geometry, a square is a regular quadrilateral.

In geometry, the isogonal conjugate of a point P with respect to a triangle △ABC is constructed by reflecting the lines PA, PB, PC

In geometry, the Dehn invariant is a value used to determine whether one polyhedron can be cut into pieces and reassembled ("disse

In geometry, the neusis (νεῦσις; from Ancient Greek νεύειν (neuein) 'incline towards'; plural: νεύσεις, neuseis) is a geometric co

In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbo

In hyperbolic geometry, an ideal point, omega point or point at infinity is a well-defined point outside the hyperbolic plane or s

adwiger theorem is a statement in Euclidean plane geometry that describes a third square derived from any two squares that share a

e Toeplitz conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some

In geometry, the Tammes problem is a problem in packing a given number of points on the surface of a sphere such that the minimum

In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it.

In geometry, Boy's surface is an immersion of the real projective plane in three-dimensional space.

In plane geometry, Van Aubel's theorem describes a relationship between squares constructed on the sides of a quadrilateral.

In geometry, Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the pairwise intersec

The Pitot theorem in geometry states that in a tangential quadrilateral the two pairs of opposite sides have the same total length

In geometry, Radon's theorem on convex sets, published by Johann Radon in 1921, states that:Any set of d + 2 points in Rd can be p

Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy.

one of the most important theorems in symplectic geometry.

well-studied visibility problem in computational geometry.

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divid

In geometry, Bretschneider's formula is a mathematical expression for the area of a general quadrilateral.

In Euclidean plane geometry, Lester's theorem states that in any scalene triangle, the two Fermat points, the nine-point center, a

In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result in plane geometry which cannot

In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their conve

geometry

In mathematics Rodrigues is remembered for Rodrigues' rotation formula for vectors

a Swiss mathematician who worked primarily in geometry

a Treatise on Solid Geometry was published in 1863

used synthetic geometry to provide a foundation for arithmetic

known for Barbier's theorem on the perimeter of curves of constant width

Möbius was the first to introduce homogeneous coordinates into projective geometry.

His earliest mathematical work was on projective geometry; he wrote a significant treatise on the subject of conic sections at the age of 16.

Today he is best known for Pick's theorem for determining the area of lattice polygons.

Bretschneider worked in geometry, number theory, and history of geometry.

Niels Fabian Helge von Koch (Swedish pronunciation: [ˈhɛ̂lɡe fɔ̌nː ˈkɔ̌kː]; 25 January 1870-11 March 1924) was a Swedish mathematician who gave his name to the famous fractal known as the Koch snowflake, one of the earliest fractal curves to be described.

Pierre Laurent Wantzel (5 June 1814-21 May 1848) was a French mathematician who proved that several ancient geometric problems were impossible to solve using only compass and straightedge.

Giovanni Ceva (September 1, 1647, May 13, 1734) was an Italian mathematician widely known for proving Ceva's theorem in elementary geometry.

Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory.

Frank Morley (September 9, 1860, October 17, 1937) was a leading mathematician, known mostly for his teaching and research in the fields of algebra and geometry.

Heinz Hopf (19 November 1894-3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. == Early life and education == Hopf was born in Gräbschen, German Empire (now Grabiszyn, part of Wrocław, Poland), the son of Elizabeth (née Kirchner) and Wilh

Darboux made several important contributions to geometry and mathematical analysis (see, for example, linear PDEs).

In mathematics, he wrote a commentary on Euclid's Elements and a work on applied geometry known as the Metrica.

Max Wilhelm Dehn (November 13, 1878, June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory.

In geometry, more specifically in polytope theory, Kalai's 3d conjecture is a conjecture on the polyhedral combinatorics of centrally symmetric polytopes, made by Gil Kalai in 1989.

It is the setting for planar projective geometry, in which the relationships between objects are not considered to change under projective transformations.

In geometry, shape excludes information about the object's position, size, orientation and chirality.

The study of geometry may be approached by the study of these transformations, such as in transformation geometry.

This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.

Pappus is the last of the great Greek geometers

whose work was mainly on projective and algebraic geometry

Geometry Plane Geometry

Geometry Solid Geometry

Geometry Plane Geometry

Geometry Solid Geometry

Geometry Line Geometry

Geometry Projective Geometry

Geometry Line Geometry

Geometry Curves

Geometry Transformations

Geometry Transformations

Geometry Transformations

Geometry Projective Geometry

Geometry Plane Geometry

Geometry Coordinate Geometry

Geometry Distance

Geometry Coordinate Geometry

Geometry Solid Geometry

Geometry Coordinate Geometry

Geometry Plane Geometry

Geometry Plane Geometry

Geometry Transformations

Geometry Computational Geometry

Geometry Surfaces

Geometry Plane Geometry

Geometry Distance

Geometry Solid Geometry

Geometry Points

Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space that preserves

The Sierpiński carpet is a plane fractal first described by Wacław Sierpiński in 1916.

universal curve, Sierpiński cube, or Sierpiński sponge) is a fractal curve. It is a three-dimensional generalization of

(also known as the Koch curve, Koch star, or Koch island is a fractal curve and one of the earliest fractals to have been

gasket, Apollonian net, or Apollonian circle packing is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively

is an unproven conjecture on the ratio of lengths of Steiner trees and Euclidean minimum spanning trees for the

A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by

Garfield's proof of the Pythagorean theorem is an original proof of the Pythagorean theorem

restriction theorem characterizes the possible orders of rotational symmetry in a lattice. In 2 or 3 dimensions, the rotational symmetries

Euler's quadrilateral theorem or Euler's law on quadrilaterals, named after Leonhard Euler (1707-1783), describes

The theorem of the gnomon states that certain parallelograms occurring in a gnomon have areas of equal si

Geometry Plane Geometry

George Szekeres was a Hungarian-born mathematician who worked for most of his life in Australia on geometry and combinatorics.

Menelaus was one of the later Greek geometers who applied spherical geometry to astronomy. He is best known for the so-called Menelaus's theorem.

Moritz Pasch was a German mathematician who worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before.

Piero della Francesca was an Italian artist who pioneered the use of perspective in Renaissance art and went on to write several mathematical treatises.

Reinhold Baer 's mathematical work was wide ranging; topology, abelian groups and geometry. His most important work, however, was in group theory, on the extension problem for groups, finiteness conditions, soluble and nilpotent groups.

Stefan Cohn-Vossen was a mathematician, born in what is now Poland, who is known for his collaboration with David Hilbert on a geometry book.

During his time in Göttingen, he lectured on mathematics, mechanics and optics, and introduced projective methods into astronomy and geography.

Wilhelm Blaschke was an Austrian mathematician whose research was on various aspects of geometry. He also initiated the study of topological differential geometry.

Al-Haytham is also known as Alhazen . He was an Islamic mathematician who wrote early works on optics as well as geometry and number theory.

Robert Simson was a Scottish mathematician best known for the Simson line of a triangle, even though he was not the first discoverer of it.

Benoit Mandelbrot was largely responsible for the present interest in Fractal Geometry. He showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature.

Lazare Carnot is best known as a geometer. In 1803 he published Géométrie de position in which sensed magnitudes were first systematically used in geometry.