History of Mathematics Vocabulary Flashcards

A comprehensive collection of vocabulary flashcards defining key historical terms, mathematical artifacts, ancient texts, and foundational theories recorded throughout the history of mathematics.

Ishango Bone

A tally stick artifact from central Africa dating back approximately 20,000 years, exemplifying early prehistoric counting tools and quantity recognition.

Cuneiform Script

The earliest known writing system, developed by the Sumerians, using wedge-shaped characters inscribed on baked clay tablets.

Sexagesimal System

A base 60 numeric system developed by the Sumerians and Babylonians, historically counted physically using twelve knuckles on one hand and five fingers on the other.

Plimpton 322

A famous Babylonian clay tablet dating from around 1800 BCE that lists 15 perfect Pythagorean triangles, suggesting knowledge of right-angled triangles prior to Pythagoras.

Moscow Papyrus

The oldest mathematical text discovered from ancient Egypt, dating from the Egyptian Middle Kingdom around 2000-1800 BCE.

Rhind Papyrus

An Egyptian mathematical text from around 1650 BCE acting as an instruction manual for arithmetic, geometry, unit fractions, prime numbers, and first-order linear equations.

Berlin Papyrus

An ancient Egyptian text dating from around 1300 BCE demonstrating that ancient Egyptians could solve second-order algebraic (quadratic) equations.

Herodianic Numerals

The ancient Greek base 10 numeral system, also known as Attic numerals, fully developed by about 450 BCE.

Thales' Theorem

A geometric theorem stating that if a triangle is drawn within a circle with its longest side as a diameter, the opposite angle will always be a right angle.

Three Classical Problems

Three ancient Greek geometric problems to be solved purely using a straightedge and compass: squaring the circle, doubling the cube, and trisecting an angle.

Lune of Hippocrates

A geometric figure developed by Hippocrates of Chios during the 5th Century BCE as a contribution toward solving the problem of squaring the circle.

Method of Exhaustion

An early integration technique of successive approximations used to compute volumes and areas, credited to Eudoxus of Cnidus and later refined by Archimedes.

Tetractys

The number 10, regarded as the holiest triangular number by Pythagoreans, composed of the sum of 1, 2, 3, and 4.

Musica Universalis

Pythagoras' concept, also called 'Music of the Spheres', asserting that celestial bodies move according to mathematical equations corresponding to musical notes.

Platonic Solids

Five regular symmetrical 3D shapes—the tetrahedron, octahedron, icosahedron, cube, and dodecahedron—identified by Plato as the fundamental components of the universe.

Sieve of Eratosthenes

An algorithmic method devised by Eratosthenes of Alexandria used for systematically identifying prime numbers.

Heron's Formula

A geometric formula created by Heron of Alexandria to compute the area of a triangle directly from its three side lengths.

Spherical Triangle

A figure formed by three great circle arcs on a curved surface, introduced by Menelaus of Alexandria in his work Sphaerica.

Diophantine Analysis

A mathematical area developed by Diophantus of Alexandria dealing with finding integer solutions to equations containing multiple unknowns.

Conic Sections

The curves known as the ellipse, parabola, and hyperbola, named and systematically described by Apollonius of Perga as sections through a cone.

Law of Large Numbers

A statistical law introduced by Jacob Bernoulli in The Art of Conjecture stating that larger sample sizes yield results more representative of the overall population.

Linear Programming

A mathematical method invented by George Dantzig to determine optimal values of a linear function subject to specified constraints.

Boolean Logic

A system of symbolic logic created by George Boole that laid the foundation for computer science and digital circuit design.

Descriptive Geometry

A mathematical technique introduced by Gaspard Monge, now known as orthographic projection, used to represent 3D objects in two dimensions.

Yupana

A counting board used by the ancient Incan civilization alongside quipus to calculate and solve mathematical problems.

Obelus

The formal mathematical name for the division symbol $(\div)$

Virgule

The formal name given to the forward slash symbol $(/)$ used to represent division.