Differences in Geometry Geometry is the branch of mathematics that deals with the properties of space. Geometry is classified between two separate branches, Euclidean and Non-Euclidean Geometry. ... Non-Euclidean geometry was classified as any geometry that differed from the standards of Euclidean geometry. ... Hyperbolic Geometry is a "curved- space, related to some Spherical Geometry. ... This is a theorem in Euclidean Geometry, yet in Hyperbolic Geometry it is p...

• Word Count: 1671
• Approx Pages: 7
• Has Bibliography

(Grube et al, 161) Islam transformed geometry into an art form. The usage of geometry throughout Islamic architecture opened windows of opportunity for applying the principles of repetition, symmetry, and change of scale. When these usages of geometry are practices they create a perplexing variety of effects. ... Surfaces are another big part of geometry. ... All of the elements of decorative geometry in Islamic architecture represent the uniqueness and specialty of the design. ...

• Word Count: 2379
• Approx Pages: 10
• Grade Level: Undergraduate

Geometry, for us, means the informal study of shapes. Everyone needs or uses geometry in their everyday lives. If you really think about it everything that we do or use everyday is somehow related to geometry. The houses or buildings that we live in are constructed using geometry. ... Another thing that we use geometry for is when we are constructing our interstates. ...

• Word Count: 546
• Approx Pages: 2
• Grade Level: High School

This art is geometry "the measuring of Earth. ... In thirteen books he collected The Elements of geometry, starting from the most basic concepts, "a point is that which has no part- and "a line is breadthless length-. ... Although I think that we should never renounce reality in our search for philosophical answers, I'm persuaded that it is in a universe similar in nature to the world of geometry that Euclid opens up for us, where Beauty herself exists. ... So, lest we end up being "robbed of the truth and knowledge of the things that are- like those who "trust arguments to be true w...

• Word Count: 1043
• Approx Pages: 4
• Grade Level: Undergraduate

These philosophers were said to have used geometry more than Egyptians. ... Plato was very found of geometry. ... The oldest known manual for geometry is the geometry manual by Euclid of Alexandria. ... Books one though six deal with plane geometry. ... Plato did not make any famous contributions to geometry. ...

• Word Count: 750
• Approx Pages: 3
• Grade Level: High School

This would have never have been built if Ptolemy's Geometry had not been reintroduced into academia by people such as Tuscanelli and Hermes Trismegistus. ... Perspective would go on to shape many areas of geometry, engineering, and art. Without Perspective, our understanding of geometry and engineering would have been severely stunted. ... Without Perspective, engineering and geometry would have never evolved into the disciplines that give us the knowledge to create the structures we have today. ...

• Word Count: 353
• Approx Pages: 1
• Grade Level: Undergraduate

This "patterning" maybe envisaged or conceptualized as patterns of strategic geometry. ... Some strategic configurations change, others remain the same, while new patterns of strategic geometry appear, as the old forms dissolve--the explanations behind the shifting pattern of strategic geometry is what enables us to understand the transition from the Cold War era to the post Cold War. ... Let us begin with a simpler model of strategic geometry which existed in Europe during the Cold War. ... One may just turn towards one actor in the system, or one player in the Strategic Quadrangle, to se...

• Word Count: 4761
• Approx Pages: 19
• Grade Level: Undergraduate

This is different from conventional geometry, which deals with regular shapes and whole-number dimensions. ... Fractal geometry deals with shapes found in nature that have non-integer, or fractal, dimensions, or lines, like rivers and cone-like mountains. Fractal geometry developed from Benoit Mandelbrot's study of complexity and chaos. ... Fractal geometry has been applied to such diverse fields as the stock market, chemical industry, meteorology, and computer graphics. ... Chaos is another part of fractal geometry. ...

• Word Count: 551
• Approx Pages: 2
• Grade Level: High School

Euclid of Alexandria, whose chief work, Elements, is a comprehensive treatise on mathematics in thirteen volumes on such subjects as plane geometry, proportion in general, the properties of numbers, incommensurable magnitudes, and solid geometry. ... He taught geometry in Alexandria and founded a school of mathematics there. ... His book The Elements, written about 300 BC, contains many proofs in the field of geometry and algebra. ... Today's modified version of his first few works form the basis of high school instruction in plane geometry....

• Word Count: 533
• Approx Pages: 2
• Grade Level: High School

When Pascal was twelve years old he got very curious about geometry so he asked his tutor in what geometry consisted. ... So Pascal's attention began to focus on analytical geometry and physics. Pascal did not attend school and because of his interests in geometry at the age of fourteen Pascal was admitted to meetings of French geometricians. ...

• Word Count: 479
• Approx Pages: 2
• Grade Level: High School

Æ' ±When the animal that we are hunting cannot be caught, we call it Æ' ±XÆ' temporarily and continue to hunt it until it is bagged.Æ' Jacob also taught Albert geometry. Geometry is another part of mathematics, it deals with lines, points, and angles. Albert loved hearing about geometry. ... He made mistakes in addition and subtraction, but he began to understand advanced concepts of algebra and geometry. ... Albert Einstein being the mathematic did Algebra & Geometry. ...

• Word Count: 693
• Approx Pages: 3
• Grade Level: High School

His use of space to distinguish this is evident and his understanding of the reaction of certain geometries is quite clear in the museum. Ando has been known for his discipline in using strict and pure geometries to create a meaningful volume. ... As in the Pantheon, the Museum of Wood resembles its use of volume, geometry, and the nature of light to undergo some sort of epiphany... His concepts and obedience to authentic materials, pure geometry, and nature are exemplified in the Museum of Wood. ... He uses these geometries in the volume of the museum to make original forms of space and ...

• Word Count: 1296
• Approx Pages: 5

Richard Buckminster Fuller, known as "Bucky" to all his friends, was an important innovator of the 20th Century. One of the greatest things about Bucky Fuller is that no professional category can hold him. A man of many talents, he was an inventor, architect, engineer, and author as well as a math...

• Word Count: 940
• Approx Pages: 4

It is said that Pythagoras had learned Geometry from the Egyptians, however, Anaximander had probably introduced him to geometry before. ... However, we know that he made an impression on the Pythagorean Society and in geometry as we know it today. ...

• Word Count: 399
• Approx Pages: 2
• Grade Level: High School

Throughout his life Archimedes had invented many things, however it has been documented that Archimedes felt that his calling was directed towards the purely theoretical fields in Mathematics and Geometry. ... Later with geometry he devised a way to take the tangent of any point along a circle and thus laid the foundation for differential calculus, thus becoming virtually the father of modern calculus. ... His findings in geometry and mathematics would lay the foundation for generations to come. ...

• Word Count: 564
• Approx Pages: 2

Besides just attending school from 7:30-2:30, he has to deal with after school practices for Naval JROTC and Geometry tutoring. ... Villanos tells of an experience when he fell asleep during Geometry class because he was up until 11:30pm doing his Geometry homework. ...

• Word Count: 541
• Approx Pages: 2
• Grade Level: High School

Hearing it for the first time in geometry class, the news made my jaw drop. ... I looked around to see the expressions of my classmates, they were in shock, and mouths wide open, just staring at our geometry teacher with unblinking eyes. ... Stepping out of my geometry class, I saw students with teary eyes, and even some sobbing. ...

• Word Count: 559
• Approx Pages: 2
• Grade Level: High School

His interest in mathematics is said to have began from when he observed a solar eclipse on October 18, 320 and then since has focused his work on geometry. ... The purpose of the volumes were to revive geometry and restore it to a level of significance, usually by providing further explanations or supplements to the works of previous geometers. ... He writes well, shows great clarity of thought and the Mathematical Collection is a work of very great historical importance in the study of Greek geometry Other works which could have been written by Pappus include one on music and one on hydrosta...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate

As a boy Pascal took his free time to study mathematics, specifically geometry. ... which everyone who took high school mathematics, specifically geometry, should recognize. He wrote papers on his theories of conic sections, which are defined in Algebra two, used in a higher sense of mathematics and geometry as well. ...

• Word Count: 503
• Approx Pages: 2
• Grade Level: High School

HIPPOCRATES OF CHIOS by Rob Fisch It can be argued that if Euclid is the father of Geometry that Hippocrates of Chios could be considered the grandfather of geometry. ... He was a Greek merchant turned geometer who compiled the first known work on the elements of geometry. ... He wrote the first mathematical textbook, called the Elements of Geometry. ... Although Plato developed a method of reduction for philosophical problems, Proclus credits Hipprocrates as the first to use such an approach in geometry. ...

• Word Count: 1099
• Approx Pages: 4
• Has Bibliography

Spontaneous gestures create curling scribbles that spread the figures out over a effluvial painterly form contra posse hard-edged shapes; structural composition mixes with primal and intuitive organization of space; the elements are placed at in different angles to show off their dominant geometry (blocks, ovals, spheres). This geometry gives the painting a complex diversion. ...

• Word Count: 276
• Approx Pages: 1
• Grade Level: High School

To defend the theory of recollection Socrates uses many examples such as the geometry problem with the slave boy. ... Following the geometry exercise, Socrates discusses the right use of virtue: "If then virtue is something in the soul and it must be beneficial must be a kind of wisdom" (p38). ...

• Word Count: 291
• Approx Pages: 1
• Grade Level: High School

Chinese scientists lacked a standard of logical proof provided by Aristotelian logical and they had no system of deductive geometry. ... As a result, the Chinese were forced to employ Arabic astronomers from 13th century onwards" (Bekar,carlaw and lipsey) In Personally, despite the very well-developed state of Chinese technology, abstract mathematics was extremely weak - geometry was fragmented and ad-hoc, arithmetics was there but algebra was primitive (partly due to the failure of adopting the system of mathetical symbols and Arabic numerals). ... Western geometry and optical science bo...

• Word Count: 1756
• Approx Pages: 7

While, the boundaries of geometry was used the distance of 340 meter and the depth was 40 meter to obtain the maximum range of vibration, where the ppv that indicated from the modell shows the the vibrations would not affected to the damage of building structure. 2.1 Material Modell The parameter that used for this modell are obtained from the correlation of N-SPT value as an input parameter of ground vibrations modell using finite element method. ... The pile was located on the right side of geometry with length 33 m and diametre 0,35 m, it was added dynamic load (~A) on the middle sur...

• Word Count: 1783
• Approx Pages: 7
• Grade Level: High School

His followers are credited with the development of the Pythagorean theorem in geometry and the application of number relationships to music theory, acoustics, and astronomy. ... Today Pythagoras is famous for his geometry theorem. ...

• Word Count: 389
• Approx Pages: 2
• Grade Level: Undergraduate