He found the first “reliable figure” for π(pi) (Source A). In ancient Greece, the crude number system was very inefficient, and Archimedes made it easier to understand and count to higher numbers (Source B). Finally, he used the first known form of calculus while studying curved surfaces under Euclid, not to be later worked on for 2,000 years by Isaac Newton (Source A).
Computers are used to functions that would take humans a long time to work out. They make work easier to accomplish. It can be used to show how much gas is used in a vehicle with different amounts of speed and weight. In the story Cold Equations written by Tom Godwin, a girl is a stowaway on a EDS. There wouldn't be enough gas to get to the destination with her added weight.
One outside application would be a bicyclist. This is because, if they speed up they are going a farther distance, and if they slow down they are going a shorter distance. No matter the speed/distance the velocity stays the same. It can be concluded that velocity is the slope of a position versus time graph. This is proven by looking at the slope of the graph.
This form of math was created by Al-Khwarizmi, he studied Indian sources and later wrote a textbook about this type of math (Document 4). Muslim scholars also made many advances in trigonometry, astronomy and mapmaking. They developed ways to study astronomy and to create maps, by using trigonometry and other forms of math (Document 5). There was also great advances in science, science was used in many different parts of Islamic culture, such as religion were "The faithful... relied on" "astronomers to calculate the times of prayer and the direction on Mecca" (Document 1). Scholars also used astrolabes and armillary sphere 's in order to study the skies, so that they could "make calculations for their calendars and maps" (Document 5).
The understanding of mathematics also led them to advancements in astronomy and mapmaking. Document 5 states, “They used astrolabe (figure A) and the armillary sphere (Figure B) to study the skies and make calculations for their calendars and maps.” The two advancements mentioned in the evidence are both still
We know this is not true in Euclidean geometry since all triangles have the same angle sum of 180°. Finally, Hyperbolic has some practical applications in our 3-dimensional world. Examples of these applications include art and the design of many practical things. Many artists have used Hyperbolic geometry to make art on the circular plane as mentioned before.
His log was based to assist in the multiplication of quantities that were then called sines. Sines was the value of a right angled triangle with a large hypotune of 10 with a power of 7.
In ancient times there was usually inaccurate calculations but with the invention of trigonometry, it allowed for some questions to be able to be answered accurately even if the numbers were very large because all the calculations could be based on ratios where the degree and magnitude are determined. Overall these calculations accuracy is usually due to Pythagoras theorem which has been shown to be the base for all of the trigonometric functions and since the calculations are done with high angled triangles it then solved most of the major issues. References: 1. Pythagoras’ Theorem. (n.d.).
There is a lot of buzz about the Bee Colony Collapse Disorder which is, according to dictionary.com, a pathological condition which leads to a disappearance of worker bees from the hive resulting in the hive’s failure. The reason I am concerned about this topic is because human survival is tied to bee survival. Bees are responsible for ⅓ of the meals we eat, either by pollinating the fruits and vegetables that humans eat or by pollinating crops that feed animals that we eat, like cows. It is difficult to come up with a solution to this issue because there are many root causes. Bee Colony Collapse Disorder is a bigger problem than most people realize, and if it is not solved, it will have a devastating effect by taking away important food that
The Study of Distances – Parallax How is trigonometry used in the real world? Trigonometry is actually very significant in the real world, as there are various different real life applications of trigonometry, especially in astronomy. Trigonometric parallax can be used to measure the distance between two objects. Parallax, in general, is the way that objects appear to be moving when they are viewed from different positions.
They will show evidence of this by finding angles of elevation and depression in real world scenarios on a worksheet at the end of the lesson. They will show mastery by getting 80% or better on the worksheet. Students will learn how to find the area polygons and triangles using trigonometry ratios.
According to ehow.com : “Architects often use a compass and straightedge to aid in drafting their designs...architects can moreaccurately determine real-world proportions for their scaled drafts.” Ehow.com also stated that artists use a compass and straightedge when trying to make circles for horizons or straight lines. National Cathedral in Washington D.C. Raphael - Disputa
Without people like Menaechmus or many other geometers who worked with conic sections, or discovered them, we would be living in a world without a lot of basic things that we use. Around the years 360-350 BC, it is said that Menaechmus discovered conic sections. The way that Menaechmus did this was a challenge that somebody gave all mathmaticians. Basically the story goes that in
But the construction of these architectural landmarks was not easy to make, there was a prerequisite of some form of advanced math and geometry. But they used math for other things as well such as, numbers to keep track of business transactions. The Ancient Egyptians were the first
Listening to music gives humans huge amount of benefits towards their personal life. A lot of students listen to music to, help reduce stress, boost up their mood and provides motivation in their daily life. Music is an art of sound in time that expresses ideas and affection in significant forms through the components of rhythm, melody, harmony, and colour. Some students use music to overcome the emotional effects of stress or anxiety when engaged in their leisure time, such as studying for a test or quiz, completing homework or assignments that they were given by teachers or lecturers, or while reading and writing. Most of the student choose to listen to their favorite genre of music when they study or do their homework without understanding
