Euclidean geometry is the study of points, lines, angles, triangles, circles, squares and other shapes, as well as the properties and relationships between the properties of all these things (Marshall, 2014, para.8). Euclidean geometry is one of the types of mathematics students are learning about in secondary schools, and is also commonly used in everyday life. Mathematicians and researchers have discovered many types of geometries, but Euclidean geometry is the oldest branch of mathematics.
“Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid” (Artmann, 2016, para.1). Euclidean geometry was developed by Euclid, who ran his own school in Alexandria, Egypt
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There are several ancient cultures who studied this practice including Indian, Babylonian, Egyptian, Chinese and Greek. Geometry is form between lengths, areas, and volumes of physical objects (Jones, 2002). In Keith Jones’ article ‘Issues in the teaching and learning of geometry’, he dissected the word geometry. The word ‘geometry’ comes from two ancient Greek words ‘Jy a’ and ‘Miti’, ‘Jy a’ meaning earth and ‘Miti’ meaning to measure (2002). In ancient times, geometry was used in the measure of land and in the construction of religious and cultural artifacts. One example is the ancient Egyptian pyramids (2002). The diversity of geometry has increased to such a large amount that there are a possibility of 50 different types of geometries …show more content…
The simplest case is a rectangle with sides a and b, and has area ab. By putting a triangle into an appropriate rectangle. One can show that the area of the triangle is half the product of the length of one of its bases and its corresponding height, thus the formula to find the area of a triangle is bh/2 (Artmann, 2016, para. 8). The study of triangles is very essential in geometry. Another important concept and most used concept taught in Euclidean geometry is the Pythagorean theorem. Pythagorean theorem is used in solving a right-angle triangle, right-angle triangle is a triangle that has a 90 degrees angle. The theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse which is the longest side of the triangle. The formula for the Pythagorean theorem is a2 + b2 = c2. Pythagorean theorem is named after Pythagoras, a Greek mathematician and philosopher, who discovered the Pythagorean theorem after looking at pyramids (Artmann,
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
To draw the human body, they used a system of measurement. They were precise about creating sculptures so they attempted to use a standard unit of measure. The early Greeks and Egyptians treated beauty to be a content of accurate amount, for the human body and structure. It is common that the human body in both cultures represents generally with great level stylized propositions that the proportions among the separate portions of the human body were committed by a few of established rules for creating the Canon. Both artists were capable to create the use of a standard organization that was originated to be beautiful and delicate, although giving their themes in configuration that could have or not been faithful to the accurate
Using all the above material, we can see that there are many different similarities and differences when looking at a Euclidean Geometry, Spherical Geometry, and Hyperbolic Geometry. Using my artifacts will help one understand many of my conclusions about these three surfaces. This essay was an excellent opportunity to reflect on my growing understanding of these three surfaces. I hope you, the reader, can benefit from my conclusions and gain a better understanding of the similarities and differences of these three surfaces.
Pythagoras Experiment Aim: To investigate the relationships between the lengths of the 3 sides of the right angled triangles and the perimeters and areas of these triangles. Task 1: a) The numbers 5, 12, 13 satisfy the condition. 5² + 12² = 13² Because 5² = 5x5 = 25 12² = 12x12 = 144 13² = 13x13
Euclidean distance was proposed by Greek mathematician Euclid of Alexandria. In mathematics, the Euclidean distance or Euclidean metric is the distance between two points, which is shown as a length of a line segment and is given by the Pythagorean theorem. The formula of Euclidean distance is a squ...
Non-euclidean geometry not only **, but also suggests that the characteristics of “necessity” and “university” could be questioned, as “universality” and “necessity” seems to suggests, once the proposition of
They even built the pyramids using the sacred ratio. After the Egyptians, the Greeks adopted this method, but instead called it the Golden section. They too used this method in architecture in many buildings including the Pantheon. In about 500 B.C., the Greek Philosopher Pythagoras began his studies of proportions he soon developed a theory, through musical harmony and repetitive patterns in nature, that beauty was associated with the small ratio of integers. Around the same time Phidias had been studying phi for a while and began applying it to his sculptures and paintings.
"The Foundations of Geometry: From Thales to Euclid." Science and Its Times. Ed. Neil Schlager and Josh Lauer. Vol. 1. Detroit: Gale, 2001. Gale Power Search. Web. 20 Dec. 2013.
Pythagoras was born off the coast of Turkey on the Island of Samos in the 6th century BC. He is most famous for his well-known proposition about right angle triangles, known as the Pythagorean theorem. Having spent time in Egypt and Babylon, much of his main philosophical teachings are a combination of ideas expressed in the places he traveled to.
named Pythagoras, but is he really the one who discovered the theorem? It?s kind of like the
‘Geometry is the branch of mathematics that addresses spatial sense and geometric reasoning.’ (Howse & Howse, 2014). It is one of the basic mathematical concepts they cover in almost, if not all, the formal educational years they go through before year 2, which are the kindergarten years and year 1. Most of the children are indirectly exposed to different shapes from the beginning of their lives when becoming in contact with different objects, and therefore, when it comes to learning of the different shapes, it might help the children to get a better grasp of it.
Artist of the geometric time period created decative funerary art to be placed at the tombs of there dead. These pieces were made of ceramic and created in the form of geometric shapes, hence the time period. One such piece is a vase from the Dipylon Cemetery, (750 BCE) its over-all shape is like that of a hemisphere supported by a cylinder. We also notice that the vase is divided into registers and here the humans are depicted as part of a narrative. The body of the deceased is placed on its side and set on what would appear to be a pedestal in the center of the top register. The form used to represent the human figures are somewhat abstract.
This means that math work with numbers, symbols, geometric shapes, etc. One could say that nearly all human activities have some sort of relationship with mathematics. These links may be evident, as in the case of engineering, or be less noticeable, as in medicine or music. You can divide mathematics in different areas or fields of study. In this sense we can speak of arithmetic (the study of numbers), algebra (the study of structures), geometry (the study of the segments and figures) and statistics (data analysis collected), between
Trigonometry (from Greek trigōnon "triangle" + metron "measure"[1]) is a branch of mathematics that studies triangles and the relationships between the lengths of their sides and the angles between those sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclicalphenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.[2] It is also the foundation of the practical art of surveying.
As mathematics has progressed, more and more relationships have ... ... middle of paper ... ... that fit those rules, which includes inventing additional rules and finding new connections between old rules. In conclusion, the nature of mathematics is very unique and as we have seen in can we applied everywhere in world. For example how do our street light work with mathematical instructions? Our daily life is full of mathematics, which also has many connections to nature.