Archimedes & Geometry - Unionpedia, the concept map

Alfred North Whitehead

Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher.

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Ancient Greece

Ancient Greece (Hellás) was a northeastern Mediterranean civilization, existing from the Greek Dark Ages of the 12th–9th centuries BC to the end of classical antiquity, that comprised a loose collection of culturally and linguistically related city-states and other territories.

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Archimedean spiral

The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes.

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Astronomy

Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos.

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Axiom

An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

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Calculus

Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science.

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Circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with the counting, selecting and arranging of objects, both as a means and as an end in itself.

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Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

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Curve

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight.

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Cylinder

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

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Diophantine equation

In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, for which only integer solutions are of interest.

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Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker.

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Engineering

Engineering is the practice of using natural science, mathematics, and the engineering design process to solve technical problems, increase efficiency and productivity, and improve systems.

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Euclid

Euclid (Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician.

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Eudoxus of Cnidus

Eudoxus of Cnidus (Εὔδοξος ὁ Κνίδιος, Eúdoxos ho Knídios) was an ancient Greek astronomer, mathematician, doctor, and lawmaker.

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Greek mathematics

Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean.

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Heron's formula

In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths Letting be the semiperimeter of the triangle, s.

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Integral

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.

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John Wallis

John Wallis (Wallisius) was an English clergyman and mathematician, who is given partial credit for the development of infinitesimal calculus.

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Latin

Latin (lingua Latina,, or Latinum) is a classical language belonging to the Italic branch of the Indo-European languages.

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Leonardo da Vinci

Leonardo di ser Piero da Vinci (15 April 14522 May 1519) was an Italian polymath of the High Renaissance who was active as a painter, draughtsman, engineer, scientist, theorist, sculptor, and architect.

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Mathematical analysis

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Mechanics

Mechanics (from Ancient Greek: μηχανική, mēkhanikḗ, "of machines") is the area of physics concerned with the relationships between force, matter, and motion among physical objects.

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Method of exhaustion

The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.

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Middle Ages

In the history of Europe, the Middle Ages or medieval period (also spelt mediaeval or mediæval) lasted from approximately 500 to 1500 AD.

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Neusis construction

In geometry, the neusis (νεῦσις;; plural: label) is a geometric construction method that was used in antiquity by Greek mathematicians.

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Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

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Physics

Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.

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Pi

The number (spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

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Point (geometry)

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical spaces.

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Ratio

In mathematics, a ratio shows how many times one number contains another.

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Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

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Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

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René Descartes

René Descartes (or;; 31 March 1596 – 11 February 1650) was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science.

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Sphere

A sphere (from Greek) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

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Syracuse, Sicily

Syracuse (Siracusa; Sarausa) is a historic city on the Italian island of Sicily, the capital of the Italian province of Syracuse.

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Thales of Miletus

Thales of Miletus (Θαλῆς) was an Ancient Greek pre-Socratic philosopher from Miletus in Ionia, Asia Minor.

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Thābit ibn Qurra

Thābit ibn Qurra (full name:, أبو الحسن ثابت بن قرة بن زهرون الحراني الصابئ, Thebit/Thebith/Tebit; 826 or 836 – February 19, 901), was a polymath known for his work in mathematics, medicine, astronomy, and translation.

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Theorem

In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven.

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Triangle

A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry.

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University of St Andrews

The University of St Andrews (Oilthigh Chill Rìmhinn; abbreviated as St And, from the Latin Sancti Andreae, in post-nominals) is a public university in St Andrews, Scotland.

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Uta Merzbach

Uta Caecilia Merzbach (February 9, 1933 – June 27, 2017) was a German-American historian of mathematics who became the first curator of mathematical instruments at the Smithsonian Institution.

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Vitruvius

Vitruvius (–70 BC – after) was a Roman architect and engineer during the 1st century BC, known for his multi-volume work titled De architectura.

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Volume

Volume is a measure of regions in three-dimensional space.

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