Ad
related to: greek geometric algebra
Search results
Results From The WOW.Com Content Network
In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors ...
The Greeks created a geometric algebra where terms were represented by sides of geometric objects, [16] usually lines, that had letters associated with them, [17] and with this new form of algebra they were able to find solutions to equations by using a process that they invented, known as "the application of areas". [16] "
Greek mathematics constitutes an important period in the history of mathematics: fundamental in respect of geometry and for the idea of formal proof. [44] Greek mathematicians also contributed to number theory, mathematical astronomy, combinatorics, mathematical physics, and, at times, approached ideas close to the integral calculus. [45] [46]
However, al-Khwarizmi did not use symbolic or syncopated algebra but rather "rhetorical algebra" or ancient Greek "geometric algebra" (the ancient Greeks had expressed and solved some particular instances of algebraic equations in terms of geometric properties such as length and area but they did not solve such problems in general; only ...
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.
Pages for logged out editors learn more. Contributions; Talk; Greek geometric algebra
Title page of Pappus's Mathematicae Collectiones, translated into Latin by Federico Commandino (1588).. Pappus of Alexandria (/ ˈ p æ p ə s / ⓘ; Ancient Greek: Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c. 350 AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection (c. 340), [1] and for Pappus's hexagon theorem in projective geometry.
Hippocrates of Chios (Ancient Greek: Ἱπποκράτης ὁ Χῖος; c. 470 – c. 421 BC) was an ancient Greek mathematician, geometer, and astronomer. He was born on the isle of Chios, where he was originally a merchant.