We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Nobody downloaded yet

The History of Projective Geometry - Essay Example

Comments (0)
Name of the of the Concerned Professor Subject 2 May 2011 The History of Projective Geometry Introduction Projective geometry is the aspects of mathematical studies that had to do with the study of relationships existing between geometric figures and the mappings or images that are brought into existence as a result of the projection of these geometric figures on some other surface…
Download full paper
The History of Projective Geometry
Read TextPreview

Extract of sample
The History of Projective Geometry

Download file to see previous pages... In 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 opaque objects are one other example of projective geometry. Projective geometry evolved and developed into a formal constituent of mathematical studies over a long period of time. History The history of projective geometry is an apt example of the confluence and collaboration between 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 Europe 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 flaw 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 depth and perspective (Encyclopedia Britannica: Online) . The creations of Renaissance art had a significant impact on the contemporary and future mathematicians. The projective geometry evinced nascent reverberations in the architectural drawings 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 landscape with the help of seemingly straight lines. The original drawing was created on the basis of tracing the intersection of these lines on a vertical plane. 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 developing 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 role 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 renowned French engineer and mathematician who are credited with the honor of systematically and formally reviving projective geometry in the 19th century. Some mathematicians go even as far ahead to claim that his work Traite des proprietes 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 ...Download file to see next pagesRead More
Comments (0)
Click to create a comment
College Geometry - neutral geometry and Euclidean geometry
Initially, it dealt with areas, volumes, and lengths but in the 3 BC, geometry took a new path as a result of efforts from Mathematicians such as Euclid with his Euclidean geometry. He laid down the foundation of today's geometry; absolute geometry is type of geometry that has developed in the recent years by designing some of the theories and axioms of Euclidean geometry by Mathematician Janos Bolyai in 1892.
3 Pages(750 words)Essay
Projective Tests
For a long time, psychology has employed scientific research to measure aspects of human personality and behavior. As such, various scales of psychological assessment have been developed to precisely and objectively measure these aspects.
5 Pages(1250 words)Essay
Projective Techniques
While carrying out the research work, various tools, techniques and tactics are applied so that findings would be understandable. From the inception of research work till date, diverse research methodologies have been adopted by the researchers to uncover the hidden data.
6 Pages(1500 words)Essay
Fractal Geometry
The word "fractal" was created by Benoit Mandelbrot and it means "to break", whereas the form of adjective "fractus" means "fragmentated". (Brandt 24) It is a matter of fact that the word "fractal" has two definite meanings: the first meaning refer to colloquial use and the second is connected with geometry.
2 Pages(500 words)Essay
Geometry Task 3
Draw a line AM such that it is perpendicular to BC and passing through the vertex A.
2 Pages(500 words)Essay
3d imaging using matlab
SAR reconstruction technique is implemented in MATLAB as a possible tool for image formation. A number of three dimension reconstructions from two or more images in a one-step and
20 Pages(5000 words)Essay
An essay about the history, orgin, and use of pi( symbol used in geometry)
The complex nature of this number or mathematical constant charms everybody even in modern times; it is used in a variety of situations and not just as a relationship definer between a circle’s circumference and its radius. The essay will help to
4 Pages(1000 words)Essay
Psychological testing
For a long time, psychology has employed scientific research to measure aspects of human personality and behavior. As such, various scales of psychological assessment have been developed to precisely and objectively measure these aspects. The use of these tests in diagnosis and therapy should be left for licensed psychologists.
5 Pages(1250 words)Essay
Geometry proj2
(3 points) Composition of transformation refers to a case when two or more transformations are combined to another new transformation. In a composition, the first transformation maps the object to an image which is then transformed by the subsequent transformation. This can
4 Pages(1000 words)Essay
Currently, the study has advanced to include other branches of mathematics such as number theory, algebra, and topology. Riemannian geometry for example is among the latest braches of geometry. Each of the above fields of specialization
2 Pages(500 words)Admission/Application Essay
Let us find you another Essay on topic The History of Projective Geometry for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us