which states that if A, B, and C are points on a circle where line segment BC is the diameter, then angle ABC is a right angle.

which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

A definitive statement of classical  geometry, use of axioms and postulates, many formulas, proofs, and theorems including  Theorem on infinitude of primes

was known as 'The Great Geometer'.

was the first woman to make a substantial contribution to the development of mathematics.

His contributions in geometry revolutionized the subject and his methods anticipated integral calculus

Greek mathematician sometimes known as 'the father of algebra' who is best known for his Arithmetica. This had an enormous influence on the development of number theory.

Greek mathematician who is famous for his work on prime numbers and for measuring the diameter of the earth.

Greek mathematician who compiled an early example of trigonometric tables and gave methods for solving spherical triangles. He is often referred to as the "father of trigonometry" for his significant contributions to the field.

Geometer and worker in mechanics who invented many machines including a steam turbine.

His best-known mathematical work is the formula for the area of a triangle in terms of the lengths of its sides.

He was imprisoned for claiming that the Sun was not a god and that the Moon reflected the Sun's light, and discovered the exact clarification of eclipses

English mathematician famous for having proved Fermat's Last Theorem in 1995.

He wrote De Triangulis Omnimodis, a systematic account of methods for solving triangles, and made important contributions to trigonometry and astronomy

French mathematician and philosopher who contributed to many areas of mathematics. He worked on conic sections and projective geometry and in correspondence with Fermat he laid the foundations for the theory of probability

He introduced the "Law of Large Numbers" in his (The Art of Conjecture). In Statistics, this implies that the larger the sample, the more likely will the sample become representative of the population.

Swiss mathematician who studied reflection and refraction of light, orthogonal trajectories of families of curves, quadrature of areas by series and the brachistochrone.

Scottish scholar who is best known for his invention of logarithms, but other mathematical contributions include a mnemonic for formulas used in solving spherical triangles and two formulas

The first mathematician to attempt to classify curves according to the types of equations that produce them and also made contributions to the theory of equations

greatest English mathematician of his generation. He laid the foundation for differential and integral calculus. His work on optics and gravitation make him one of the greatest scientists the world has known.

German mathematician who developed the present day notation for the differential and integral calculus though he never thought of the derivative as a limit.

British mathematician, logician, and computer scientist who made groundbreaking contributions to the fields of mathematics, logic, cryptanalysis, and computer science. He is widely considered one of the founding fathers of computer science.

Liber abaci introduced the Hindu-Arabic place-value decimal system and the use of Arabic numerals into Europe.

His ideas concerning geometry of space had a profound effect on the development of modern theoretical physics

worked in a wide variety of fields in both mathematics and physics including number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics. Often referred to as the "Prince of Mathematicians,"

e^(iπ) + 1 = 0, is one of the most celebrated equations in mathematics. It elegantly connects complex numbers, exponentials, and trigonometry. considered the founder of graph theory. In 1736, he solved the famous Seven Bridges of Königsberg problem, laying the groundwork for graph theory as a field of study.

French lawyer and government official most remembered for his work in number theory; in particular for  the Last Theorem. He is also important in the foundations of calculus

Major work on elliptic integrals provided basic analytical tools for mathematical physics. He gave a simple proof that π is irrational as well as the first proof that π2 is irrational.

built a solid framework for quantum mechanics

German mathematician who worked in algebraic number theory and also on celestial mechanics.

German mathematician who laid the foundation for abstract algebra, particularly in the development of ring theory and field theory.

English mathematician who published tables of Napier's logarithm, introduced common logarithms, and was the man most responsible for scientists' acceptance of logarithms.

Russian-born mathematician who can be considered as the founder of set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers.

American mathematical scientist who worked in operations research, computer science, economics and statistics. He is best known for inventing the simplex algorithm for linear programming.

father of differential/descriptive geometry because of his work Application de l'analyse à la géométrie where he introduced the concept of lines of curvature of a surface in 3-space

largely remembered for his investigations in number theory. he was also interested in mechanics and is famous for the orthogonal polynomials he invented.