Euclidean geometry

When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me to demonstrate

Math 451: Axiomatic Geometry Research Paper 12/13/16 History of Hyperbolic Geometry The discovery of non-Euclidean geometry is credited to nineteenth-century mathematicians Carl Friedrich Gauss, Nikolai Ivanovich Lobachevsky, and János Bolyai because they are first to recognize that the negation of Euclid’s Fifth Postulate as an axiom produced another geometry that was as rich and solid as that of Euclidean geometry (Venema, 2012). However, several concepts of Hyperbolic geometry were already known

When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me to

for calculating mathematical equations, both in Geometry and in Algebra. In the centuries before the birth of Jesus Christ, a man named Euclid made great strides in Geometry, proving what we now know as Euclidean Geometry. This field of Geometry deals solely with flat space, also referred to today as two-dimensional space and the geometrical theorems and proofs associated with such. Euclidean Geometry is now the foundation of most 21st century Geometry curricula. In addition, Greek mathematician Pythagoras

In this experiment the concentrations of MIBK, ethanol and water in the Feed, Extract and Raffinate streams were determined at Steady-State, which would then be used with the equilibrium data provided to calculate the theoretical number of stages required for separation. Once Steady-State was achieved, the components water, ethanol and MIBK reached consistent mole percent (mol%) values of 85.48 %, 13.15 % and 1.37 % respectively for the Extract Stream. Conversely, the Raffinate Stream was had water

Buried Treasure Ashford University MAT 221 Buried Treasure For this week’s Assignment we are given a word problem involving buried treasure and the use of the Pythagorean Theorem. We will use many different ways to attempt to factor down the three quadratic expressions which is in this problem. The problem is as, ““Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the

This paper will object to Sidgwick’s axiom that from the point of view of the universe, the good of one is no more important than the good of another on the ground that it is analytic. I present the purpose and content of the axiom with a further explanation of what I take ‘the point of view of the universe’ to mean. I then consider the response of the Egoist to the axiom and Sidgwick’s counter-response to illustrate the tautology of the argument. The tautology of the argument brings it in line with

I am Alive (2010) In the movie, I am Alive, an Uruguayan Rugby team and their friends and loved ones were in the plane crash of Uruguayan Air Force Flight 571 which crashed into the Andes mountains of Chile on Friday, October 13th,1972. Out of the forty-five passengers on flight 571, twenty-nine survived the initial crash, and only sixteen survived long enough to be rescued. For those who were alive made critical decisions that were crucial to their survival for the seventy-two days, they’d be

Whenever you go to the movies or a play, someone taller than you mostly always sits in front of you. You can never see the movie or the play correctly, and you mostly miss part of the movie or the play. Well, this invention will save you from those horrible times. It’s called the Inflatable Booster Pants! It gets really annoying when someone sits in front of me that is taller than me. You can’t see the movie or play correctly. I mostly always have to switch seats with my parents or my brother during

INT. CESSNA 172 - DAY Black electrical wires wrap around the plane. Numerous black wires cover the front windshield. The cables flare around rapidly on the dashboard, releasing electrical sparks. A crack appears in the windshield. MORRIS DAMN YOU! PIECE OF FREAKING CRAP! Concurrently Morris makes a fist - digging his nails into his hand. He whams his hand on top of the dashboard. MORRIS (CONT’D) GOD DAMMIT! (Beat) GOD DON’T YOU FUCKING LET ME DIE! I AM N-- CUT TO BLACK. The plane crashes into