Geometry´s History
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Francisco Gurrola Ramos Cbtis 206-Unison Geometría Geometría.
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Geometry (Ancient Greek: γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere, served as an important source of geometric problems during the next one and a half millennia. A mathematician who works in the field of geometry is called a geometer. Introduction of coordinates by René Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. This played a key role in the emergence of calculus in the 17th century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures. The subject of geometry was further enriched by the study of intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.
Transcript of Geometry´s History
Francisco Gurrola RamosCbtis 206-Unison
GeometríaGeometría.
Giza
Keops, Kefrén y Micerino
الجيزة Jufu, Jafra y
Menkaura2600 AC
Giza
YBC 7289.
Tabla de arcilla Babilonia
2000-1600 AC
Plimpton 322
Horus y Seth
Armonia
RhindAhmes 1650 ACLuxor87 problemasÁreas,
volúmenes, progresiones, repartos
Senenmut 1500 AC
Harappan 1800 AC
VédicaSatapatha Brahmana
Sulba Sūtras
Nine Chapters on the
Mathematical Art
179 AC
Zhang Heng
130 DC
Construcción Regla-Compás
Euclides
300 AC
Academia Ἀκαδήμεια 387 AC
200 AC
Ptolemy's Almagest
150 DC
320 DC
1596
Kepler
Secreto del Cosmos
Mysterium Cosmogra-
phicum
Kepler
Da Vinci
Vetrubio
Geometría Proyectiva
1310Maestra
enseña
Elementosde
Euclides
Descartes
1637
Desgarges
1640
Teselación
Espacio y Forma
Precisión
Áreas y Volumen
Estructura y Simetria
Estructura Molecular
Transporte
de
Frutas
Botella de
KleinCinta de
Mobius
Riemann
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