Alphabet of Lines: Geometric Construction

Students or civilians take a Compass Test to see where they lie at. Basically the Compass test is used to

Nainoa Thompson created the star compass, as the basis for direction finding in non-instrument navigation. The horizon is divided into 32 sections called "houses." Nainoa has placed

One of Thales’ most renounced findings include his discovery in geometric studies in the area reading the rules of triangles. He came to the conclusion that if the base angles of an isosceles triangle are equal, the sum of the angles of a triangle are equivalent to two right angles. With the application of “geometric principles to life situations, Thales was able to calculate the height of a pyramid by measuring its shadow, and the distance of a boat to the shore, by using the concept of similar triangles” (pg. 5, Muehlbauer). Realizations such as these helped shape the beginning for the formation of natural law based on observations of the world through explanation.

In their arithmetic, a dot equals 1, a bar equals 5, and so on. The Codex Vergara was a document in which the Aztecs recorded their measurements of the surface of a field. This document helped the experts to analyze how they used symbols and “land rods” to measure the distance of an irregular shape of land. If a measurement did not match a precise number of land rods then they would use symbols like arrows, hearts, and bones to indicate how much less the distance was than one rod. These symbols were like the unit of measure inches. Inches were not simply part of a foot but a unit itself. Each symbol was used as an individual

In the essay entitled “Structure, Construction, and Tectonics,” Eduard Sekler defined tectonics in architecture as an observable expression which cannot be explained in terms of structure and construction

("Nasca Lines." World Mysteries). The Nasca lines were man made by Nasca people in the ancient era. The Nasca people made these lines for religious reasons and religious ceremonies.

The compass helped certain parts of the world get discovered in the past, document four says “The invention of the compass largely helped the explorers during the Middle Ages discover the Western Hemisphere of the world.”

Geometry first originated as a way to solve problems in architecture and navigation. A famous figure in geometry is Euclid. Around 300 BC, he published a book, The Elements, which contained definitions, axioms, and postulates that would be regarded as a standard of mathematical reasoning for the next two thousand years (Mueller, 1969). Euclid basically gave the foundation of what is now called Euclidean geometry. However,

Inventions in Medieval Europe Magnetic compass: A magnetic compass has a magnetised needle, that is generally in line with magnetic poles of the Earth, and is used to help people navigate. The magnetic compass provided medieval Europe with many benefits, and changed how people navigated. One benefit the compass offered was the opportunity to travel more often.

Compass is an instrument for determining directions, as by means of a freely rotating magnetized needle that indicates magnetic north. The compass become very important for navigation. Before compass navigation they navigated with the stars. However, this mean of navigate wouldn’t last long because the stars aren’t out during day and when there is storm the stars aren’t visible either. The weather is unpredictable and this could occur for many days and night. The compass help navigate through storm and when star wasn’t visible, making traveling across the sea easier.

There is a need for students to understand and be able to construct geometric figures using a compass and straightedge. A compass and straightedge can benefit students to form accurate constructed geometric figures, also when technology isn’t available there’s always a compass and straightedge, and students will surpass a basic understanding using hand held tools vs. online tools.

The original water-floating compass, sinan zhuo, evolved the compass floating in a needle-bowl, the floating fish-shaped compass, and various compasses during the Tang and Song Dynasties. The yingyuan zonglu (A General Record of Graves), attributed to Yang Weide of the North-Song Dynasty, is a forged old book. Its paragraph of the magnetic declination copied from Hu Shunshen’s (1091-?)dili xinfa (New Method of the Ways of the Earth) during the Yuan Dynasty. The guanshi dili zhimeng (Master Guan’s Geomantic Instructor), including texts of the Sui, Tang and Song Dynasties, dated from the Yuan Dynasty or later. On comparing the needle with the north-south direction measured with traditional methods, one discovered the magnetic declination. Wang

     Euclid's most famous work is his dissertation on mathematics The Elements. The book was a compilation of knowledge that became the center of mathematical teaching for 2000 years. Probably Euclid first proved no results in The Elements but the organization of the material and its exposition are certainly due to him. In fact there is ample evidence that Euclid is using earlier textbooks as he writes the Elements since he introduces quite a number of definitions, which are never used such as that of an oblong, a rhombus, and a rhomboid. This book first began the book by giving the definition of five postulates. The first three are based upon constructions. For example, the first one is that a straight line can be drawn between two points. These three postulates also describe lines, circles, and the existence of points and the possible existence of other geometric objects. The fourth and fifth postulates are written in a different nature. Postulate four states that all right angles are equal. The fifth one is very famous. It is also can be referred to as the parallel, the fifth parallel. It states that one and only one line can be drawn through a point parallel to a given line. His decision to create this

Who created it, you may be open to know that Pythagoras was the one invented the Circle of Fourths and Fifths. Pythagoras was

In Euclid’s first postulate he states that it is possible to draw a straight line from any point to any