APOLONIO DE PERGA SECCIONES CONICAS PDF

APOLONIO DE PERGA Trabajos Secciones cónicas. hipótesis de las órbitas excéntricas o teoría de los epiciclos. Propuso y resolvió el. Nació Alrededor Del Apolonio de Perga. Uploaded by Eric Watson . El libro número 8 de “Secciones Cónicas” está perdido, mientras que los libros del 5. In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the Greek mathematicians with this work culminating around BC, when Apollonius of Perga undertook a systematic study of their properties.

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It is considered that Greek mathematics begin with Thales of MiletusB.

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Who is considered the first geometric theorems by logical reasoning such as: After Thales, Pythagoras gives an advance mathematics with discoveries like the Pythagorean theorem, the discovery of irrational; also “The Pythagoreans developed a first group of four mathematical disciplines: Euclid was an important representative in the history of mathematics with his work The treaty of the elements, which influenced the development of geometry.

At that time it was when the three classical problems of Greek mathematics emerged: Squaring the circle, doubling the cube and angle trisection. Then Archimedes and Apollonius appears. Apollonius introduced the terms parabola, ellipse and hyperbola spiral. But he was also an expert in applied physics and mathematics to build their mechanical inventions principles.

Such as levers, pulleys, catapults, burning mirrors “. After the time of Archimedes mathematics underwent a change influenced by the Romans who were interested only use mathematics to solve problems in their daily lives, who almost did not contribute to the development of this.

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Greek mathematics contributed in the geometric language, all knowledge of elementary mathematics, that is, on the one hand the synthetic plane geometry points, lines, polygons and circles and coniczs planes, polyhedra and round bodies ; and on the other hand, an arithmetic and algebra, both with a geometric clothing, contributions that were made in the book “The Elements” of Euclid.

In applications of algebra, Diophantus made contributions in his book arithmetic.

The great innovation of Diophantus is still keeping the algebraic statements rhetoric form of sentence structure, replaced with a series of magnitudes abbreviations, concepts and frequent operators, ie, starts the “syncopated algebra”. Platon made contributions in the analytical method; Aristotle developed the foundations of logic; Apollonius of Perga contributed to conic sections, including terminology for conic sections: Hero of Alexandria is credited with Heron’s formula for calculating the area of a scalene triangle and be the first to recognize the possibility that negative numbers have square roots; also significant progress were made in applied mathematics as trigonometry.

The emergence of mathematics in human history is closely linked to the development of the concept of number, process happened very gradually in primitive human communities.

Although possessed some ability to estimate sizes and magnitudes, they not initially had a notion of number. Thus, the numbers beyond two or three, had no name, so they used some expression equivalent to “many” to refer to a set older.

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The next step in this development is the emergence of something close to a concept of number, although very early, not yet as an abstract entity, but as a property or attribute of a set concreto. The problems to be solved became more difficult and was no longer enough, as in primitive communities, just by counting things and dr to others the cardinality of cash set, but became crucial to have increasing sets, quantify the time, operate with dates, enabling the calculation of equivalences for barter.

Before the modern age and the dissemination of knowledge throughout the world, written examples of new mathematical developments came to light only in a few scenarios. The most ancient mathematical texts available are the clay tablet Plimpton c.

Sección cónica

In all these texts the Pythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry mentioned. Traditionally it has apoolonio considered that mathematics as a science emerged in order to do calculations in commerce, to measure land and to predict astronomical events.

These three needs can be related in some way to the broad subdivision of mathematics into the study of structure, space and change.

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