The History of Projective Geometry Essay Example | Topics and Well Written Essays - 750 words

The History of Projective Geometry - raise ExampleIn the everyday life, one often does come across varied aspects of projective geometry. For example a motion picture being displayed on a screen is an example of projection. The shadows brought into existence by murky objects are one other example of projective geometry. Projective geometry evolved and developed into a formal constituent of mathematical studies oer a long period of time. History The history of projective geometry is an apt example of the confluence and collaboration among science and art. Projective geometry, to begin with had its origins in the studies in optics carried on by the Arab mathematicians like Alhazen (Boyer et al., 143). During the Renaissance, when the Western atomic number 63 developed a more look outside approach to varied aspects of life including mathematics and art, the discoveries and studies of Arab mathematicians that had by that time reached Europe through trade routes greatly influenced the Western world (Boyer et al., 145). The one big daub in the Western art that had been created till now was that it was more or less flat in its presentation and style. However, soon, several early Renaissance artists after being influenced and inspired by the essentially Arab studies in optics, started to develop techniques of visual depiction that endowed their works of art with a three dimensional learning and perspective (Encyclopedia Britannica Online) . The creations of Renaissance art had a significant impact on the contemporary and future mathematicians. The projective geometry evinced parturient reverberations in the architectural draws of Leon Battista (1404-1472) and Filippo Brunelledchi (1377-1446). In fact, it was these two individuals who laid down the foundation of the method of perspective drawing (Encyclopedia Britannica Online). The primary approach of this method was to connect the eyes of the painter to various points on a beautify with the help of seemingly s traight lines. The original drawing was created on the basis of tracing the intersection of these lines on a vertical categoric. Obviously, this approach towards drawing was named projective geometry as it intended to project a real plane on a picture plain (Encyclopedia Britannica Online). Further, Johannes Kepler (1571-1630) and Gerard Desargues (1591-1661) further expanded the scope and possibility of projective geometry by development the concept of point of infinity (Boyer et al., 221). In that context, it would not be wrong to say that the works and studies of Gaspard Monge at some time during the end of the 18th century played a central and pivotal region in the future development and study of projective geometry (Boyer et al., 221). Still it was Jean-Victor Poncelet (1788-1867) who is attributed to be the father of modern projective geometry (.Encyclopedia Britannica Online) Jean-Victor Poncelet was a noted French engineer and mathematician who are credited with the hono r of systematically and formally reviving projective geometry in the nineteenth century. Some mathematicians go even as far ahead to claim that his work Traite stilboestrolproprietes projectives des figures was actually the first credible, authentic and well researched work on projective geometry after what was published by Gerard Desargues in the 17th century (.Encyclopedia Britannica Online )To begin with it were the French mathematicians Blaise Pascal (1623-1662) and