A vagina so distorted from a good fucking that it no longer satisfies Euclid's parallel postulate, instead existing in more exotic geometric spaces, including but not limited to hyperbolic and Minkowskian geometries.
"Yeah bro, I wrecked that pussy so hard that for a given line L and a point A not on L, there was not exactly one line through A which did not intersect L."
"Nice dude, non-euclidean vaginas are clutch as hell."
"Nice dude, non-euclidean vaginas are clutch as hell."
by Erotic Cryptography October 18, 2011
Get the Non-Euclidean Vagina mug.(Verb.) Clinging on to one's significant other and preforming a Koala Hug, forcing one's significant other to be one's mobile eucalyptus tree.
Flustered boyfriend: "I was hugging my girlfriend when she eucalyptified me. I walked around the house for 10 minutes as she ate the leaves from my branches and chewed in my ear"
by fartface14 January 7, 2014
Get the eucalyptified mug.Related Words
eucly
• euclid
• Eucalyptus
• Euclerald
• euclidkiamco
• euclase
• Euclide
• eugly
• Eulysis
• eclyptioxis
Euclerald seems not to care about most things and people think he's got it all figured out cause he's always act like his head's in the clouds. In fact, he's just a boy who hasn't found someone to pour his heart out... or has he. His name is made up of 2 words "Euclase" and "Emerald". It's not random and out of nowhere. It was inspired by Zulde. He fall in love with Zulde, unfortunately. She probably knows, but just probably. She's already got someone so this can never work nor should it, but he'll never learn. He thinks Zulde is the perfect girl and he wants her for himself.
Euclerald.
by Anonymous44404 November 20, 2020
Get the Euclerald mug.A non-Euclidean geometry is any geometry that contrasts the fundamental ideas of Euclidean geometry, especially with the nature of parallel lines. Any geometry that does not assume the parallel postulate or any of its alternatives is an absolute geometry (Euclid's own geometry, which does not use the parallel postulate until Proposition 28, can be called a neutral geometry). The first non-Euclidean geometries arose in the exploration of disputing Euclid's notorious Fifth Postulate, which states that if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles. Critics of the "parallel postulate" do not argue that it is a mathematical fact. Instead, they do not find it as brief, simple, and self-evident as postulates are supposed to be. Furthermore, the converse of the parallel postulate, corresponding to Proposition 27, Book I, of Euclid's Elements, has a proof, which fueled the argument that the parallel postulate should be a theorem.
Many logically equivalent statements include, but are not limited to:
1. Through a given point not on a given line, only one parallel can be drawn to the given line. (Playfair's Axiom)
2. A line that intersects one of two parallel lines intersects the other also.
3. There exists lines that are everywhere equidistant from one another.
4. The sum of the angles of a triangle is equal to two right angles.
5. For any triangle, there exists a similar noncongruent triangle.
6. Any two parallel lines have a common perpendicular.
7. There exists a circle passing through any three noncollinear points.
8. Two lines parallel to the same line are parallel to each other.
For two thousand years, geometers attempted to prove the parallel postulate, but every proof failed due to an assumption made similar to the ones above or just faulty thinking. Probably the most interesting of these are the proofs of the 17th-18th century Italian geometer Girolamo Saccheri. He tried to prove it using a reductio ad absurdum argument. By proving that the sum of the angles of a triangle cannot be greater than or less than 180 degrees, he would have achieved his goal. He successfully proved that they cannot be greater that 180 degrees, but could not find a contradiction of the latter case. He ended his proof and denied himself the opportunity to be history's first non-Euclidean geometer. This honor would be saved for two later mathematicians, Janos Bolyai and Nicolai Lobachevsky.
Both contemporaries of Carl Gauss, Lobachevsky and Bolyai did pioneering work in hyperbolic geometry, which keeps Euclid's other four postulates in tact, but supposes that through any given point not on a given line, infinitely many lines can be drawn parallel to that given line. As opposed to Euclidean geometry, which asserts that the distance between any two lines is constant, hyperbolic geometry visually means that lines curve toward each other. They discovered this to be logically coherent and a feasible alternative to Euclidean geometry. It is safe to assume that these facts were known to previous mathematicians such as Gauss and Adrien-Marie Legendre, both contributing much to elliptic functions and having conducted experiments that led them to conclude that the sum of the angles of a triangle can be less than 180 degrees. Sadly, Legendre did this in an attempt to prove the parallel postulate (hence disposing of his chance as first non-Euclidean geometer), and Gauss never published his findings in order to avoid controversy (Immanuel Kant, a prominent German philosopher of the late 1700's, in his "Critique of Pure Reason", stated the Euclidean geometry is the true geometry of the universe and to contradict it is to contradict thought itself.) Gauss did, however, discover much of differential geometry and potential theory.
Bernhard Riemann, a student of Gauss, in a famous lecture in 1854, established Riemannian geometry and discussed modern concepts such as curvature, manifolds, and (Riemannian) metrics. By giving a formula for a family of Riemannian metrics on the unit ball in Euclidean space, Riemann constructed infinitely many possible non-Euclidean geometries and provided the logical foundation for elliptic geometry, which states that through a given point not on a given line, no parallel lines exist. Visually, we can interpret this as lines curving toward each other. We cannot call Riemann, however, the sole inventor of elliptic geometry since his theory extends to all geometries, including the default Euclidean n-space. The ideas for elliptic and, mainly, hyperbolic geometry continued to develop by mathematicians of the later half of the century, such as Eugenio Beltrami, Felix Klein, and Henri Poincare. Such geometries have proven useful to the development of topology in the 20th century and to physics, notably in Albert Einstein's theory of general relativity.
Though interesting, much of non-Euclidean geometry is far too advanced to be taught in high school (or even at the undergraduate level in college!) along with basic Euclidean geometry. In order to grasp it fully and do original work in it, one must have a good working knowledge of multivariable calculus, linear and abstract algebra, real and complex analysis, and topology.
Many logically equivalent statements include, but are not limited to:
1. Through a given point not on a given line, only one parallel can be drawn to the given line. (Playfair's Axiom)
2. A line that intersects one of two parallel lines intersects the other also.
3. There exists lines that are everywhere equidistant from one another.
4. The sum of the angles of a triangle is equal to two right angles.
5. For any triangle, there exists a similar noncongruent triangle.
6. Any two parallel lines have a common perpendicular.
7. There exists a circle passing through any three noncollinear points.
8. Two lines parallel to the same line are parallel to each other.
For two thousand years, geometers attempted to prove the parallel postulate, but every proof failed due to an assumption made similar to the ones above or just faulty thinking. Probably the most interesting of these are the proofs of the 17th-18th century Italian geometer Girolamo Saccheri. He tried to prove it using a reductio ad absurdum argument. By proving that the sum of the angles of a triangle cannot be greater than or less than 180 degrees, he would have achieved his goal. He successfully proved that they cannot be greater that 180 degrees, but could not find a contradiction of the latter case. He ended his proof and denied himself the opportunity to be history's first non-Euclidean geometer. This honor would be saved for two later mathematicians, Janos Bolyai and Nicolai Lobachevsky.
Both contemporaries of Carl Gauss, Lobachevsky and Bolyai did pioneering work in hyperbolic geometry, which keeps Euclid's other four postulates in tact, but supposes that through any given point not on a given line, infinitely many lines can be drawn parallel to that given line. As opposed to Euclidean geometry, which asserts that the distance between any two lines is constant, hyperbolic geometry visually means that lines curve toward each other. They discovered this to be logically coherent and a feasible alternative to Euclidean geometry. It is safe to assume that these facts were known to previous mathematicians such as Gauss and Adrien-Marie Legendre, both contributing much to elliptic functions and having conducted experiments that led them to conclude that the sum of the angles of a triangle can be less than 180 degrees. Sadly, Legendre did this in an attempt to prove the parallel postulate (hence disposing of his chance as first non-Euclidean geometer), and Gauss never published his findings in order to avoid controversy (Immanuel Kant, a prominent German philosopher of the late 1700's, in his "Critique of Pure Reason", stated the Euclidean geometry is the true geometry of the universe and to contradict it is to contradict thought itself.) Gauss did, however, discover much of differential geometry and potential theory.
Bernhard Riemann, a student of Gauss, in a famous lecture in 1854, established Riemannian geometry and discussed modern concepts such as curvature, manifolds, and (Riemannian) metrics. By giving a formula for a family of Riemannian metrics on the unit ball in Euclidean space, Riemann constructed infinitely many possible non-Euclidean geometries and provided the logical foundation for elliptic geometry, which states that through a given point not on a given line, no parallel lines exist. Visually, we can interpret this as lines curving toward each other. We cannot call Riemann, however, the sole inventor of elliptic geometry since his theory extends to all geometries, including the default Euclidean n-space. The ideas for elliptic and, mainly, hyperbolic geometry continued to develop by mathematicians of the later half of the century, such as Eugenio Beltrami, Felix Klein, and Henri Poincare. Such geometries have proven useful to the development of topology in the 20th century and to physics, notably in Albert Einstein's theory of general relativity.
Though interesting, much of non-Euclidean geometry is far too advanced to be taught in high school (or even at the undergraduate level in college!) along with basic Euclidean geometry. In order to grasp it fully and do original work in it, one must have a good working knowledge of multivariable calculus, linear and abstract algebra, real and complex analysis, and topology.
Other examples of a non-Euclidean geometry include affine geometry, the modern projective geometries of Girard Desargues, Blaise Pascal, Michel Chasles, Jean-Victor Poncelet, and Jakob Steiner, the line geometry of Julius Plucker, the algebraic geometry of Frederigo Enriques and Francesco Severi, the enumerative geometry of Hermann Schubert, and the taxicab geometry of Hermann Minkowski.
by some punk kid October 18, 2006
Get the Non-Euclidean Geometry mug.Extreme redness, irritation, rawness in the anal region and surrounding skin resulting from inadvertent use of eucalyptus-soaked hand freshening towels in place of Dude Wipes (or other type of moist towelette) to clean one's ass after a messy bowel movement.
Man, my grundle is in agony--I couldn't wipe my ass fast enough after laying down some hot snakes, but I grabbed the wrong wipes in my girlfriend's bathroom and now I've got a bad case of eucalyptass.
by Tyrone Moustache November 8, 2015
Get the eucalyptass mug.Middle Class Suburb of Cleveland that is located next to Lake Erie. Their city council was sued by the government for being racist in 2008. It is known for its large increase in Black people over the last 10 years. Because of this both the white and black populations believe they live in the ghetto when they actually don't.
In Euclid residents spend money not on homes or their community but on clothes, gadgets, and cars. Everyone in the city wants to move out. Also victim of the "White Flight"
Lastly, Euclid is home to lots of lesbians,increasing amount of gays, bars, and catholics.
In Euclid residents spend money not on homes or their community but on clothes, gadgets, and cars. Everyone in the city wants to move out. Also victim of the "White Flight"
Lastly, Euclid is home to lots of lesbians,increasing amount of gays, bars, and catholics.
Ted: Hey, I'm looking for a good time this weekend. I'm kinda looking for a city that has lots of bars, a place where i have a slight chance of gettin' shot, and lots of lesbians. Where should I go?
Tashaqwan: Shiiiit, just head on down to Euclid.
Tashaqwan: Shiiiit, just head on down to Euclid.
by johnnyspamface April 19, 2009
Get the Euclid mug.1. N. Actual name of a crack pipe or meth pipe. Usually only referred to as such when going to a head shop or smoke shop to purchase said product, as mention of illegal substances will void your sale.
Shopkeep: What can I do for you?
Crackhead: Can I trouble you for a six inch eucalyptus inhaler?
Shopkeep: Why, sure; would you prefer a straight one or a pre-bent one?
Crackhead: Straight, please.
Crackhead: Can I trouble you for a six inch eucalyptus inhaler?
Shopkeep: Why, sure; would you prefer a straight one or a pre-bent one?
Crackhead: Straight, please.
by ElleC February 25, 2006
Get the eucalyptus inhaler mug.