david faustino's definitions
In Euclidean geometry, a parallelogram is a simple (non self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterpart of a parallelogram is a parallelepiped.
The etymology (in Greek παραλληλ-όγραμμον, a shape "of parallel lines") reflects the definition.
A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true:12
Two pairs of opposite sides are equal in length.
Two pairs of opposite angles are equal in measure.
The diagonals bisect each other.
One pair of opposite sides are parallel and equal in length.
Adjacent angles are supplementary.
Each diagonal divides the quadrilateral into two congruent triangles.
The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law.)
It has rotational symmetry of order 2.
The etymology (in Greek παραλληλ-όγραμμον, a shape "of parallel lines") reflects the definition.
A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true:12
Two pairs of opposite sides are equal in length.
Two pairs of opposite angles are equal in measure.
The diagonals bisect each other.
One pair of opposite sides are parallel and equal in length.
Adjacent angles are supplementary.
Each diagonal divides the quadrilateral into two congruent triangles.
The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law.)
It has rotational symmetry of order 2.
What are you studying Jane?
Oh, I am studying quadrilaterals, specifically I am on Chapter 5 proving a quadrilateral is a Parallelogram, Claire.
Oh, I am studying quadrilaterals, specifically I am on Chapter 5 proving a quadrilateral is a Parallelogram, Claire.
by david faustino December 18, 2012
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by david faustino September 6, 2012
Get the brownie mug.One of the greatest pitchers in the history of Major League Baseball.
Randall David "Randy" Johnson (born September 10, 1963), nicknamed "The Big Unit", is a former American Major League Baseball left-handed pitcher. During a 22-year career, he pitched for six different teams.
The 6-foot-10-inch (2.08 m) Johnson was celebrated for having one of the most dominant fastballs in the game. He regularly approached, and occasionally exceeded, 100 miles per hour (160 km/h) during his prime. He also threw a hard, biting slider. Johnson won the Cy Young Award five times, second only to Roger Clemens' seven.
Johnson finished his career first in strikeouts per nine innings pitched among starting pitchers (10.67), second all-time in total strikeouts (4,875; first among left-handed pitchers), third in hit batsmen (188), tenth in fewest hits allowed per nine innings pitched (7.24), 22nd in wins (303), and 57th in shutouts (37). He pitched two no-hitters, the second of which was the 17th perfect game in baseball history. He won a world series with the Arizona Diamondbacks in 2001.
Randall David "Randy" Johnson (born September 10, 1963), nicknamed "The Big Unit", is a former American Major League Baseball left-handed pitcher. During a 22-year career, he pitched for six different teams.
The 6-foot-10-inch (2.08 m) Johnson was celebrated for having one of the most dominant fastballs in the game. He regularly approached, and occasionally exceeded, 100 miles per hour (160 km/h) during his prime. He also threw a hard, biting slider. Johnson won the Cy Young Award five times, second only to Roger Clemens' seven.
Johnson finished his career first in strikeouts per nine innings pitched among starting pitchers (10.67), second all-time in total strikeouts (4,875; first among left-handed pitchers), third in hit batsmen (188), tenth in fewest hits allowed per nine innings pitched (7.24), 22nd in wins (303), and 57th in shutouts (37). He pitched two no-hitters, the second of which was the 17th perfect game in baseball history. He won a world series with the Arizona Diamondbacks in 2001.
by david faustino November 21, 2012
Get the Randy Johnson mug.Logic (from the Greek λογική, logikē)1 refers to both the study of modes of reasoning (which are valid and which are fallacious)2 and the use of valid reasoning. In the latter sense, logic is used in most intellectual activities, including philosophy and science, but in the first sense, is primarily studied in the disciplines of philosophy, mathematics, semantics, and computer science. It examines general forms that arguments may take. In mathematics, it is the study of valid inferences within some formal language.3 Logic is also studied in argumentation theory.4
Logic was studied in several ancient civilizations, including India,5 China,6 and Greece. In the west, logic was established as a formal discipline by Aristotle, who gave it a fundamental place in philosophy. The study of logic was part of the classical trivium, which also included grammar and rhetoric.
Logic is often divided into three parts, inductive reasoning, abductive reasoning, and deductive reasoning.
Logic was studied in several ancient civilizations, including India,5 China,6 and Greece. In the west, logic was established as a formal discipline by Aristotle, who gave it a fundamental place in philosophy. The study of logic was part of the classical trivium, which also included grammar and rhetoric.
Logic is often divided into three parts, inductive reasoning, abductive reasoning, and deductive reasoning.
What are you working on Charles?
Oh, I am doing logic homework!
What is it about?
Oh, its a subject about reasoning in a logical manner, I am doing a proof that involves the transitive property of equality.
Oh, I am doing logic homework!
What is it about?
Oh, its a subject about reasoning in a logical manner, I am doing a proof that involves the transitive property of equality.
by david faustino November 7, 2012
Get the Logic mug.Yorkshire Pudding, also known as batter pudding, is a dish that originated in Yorkshire, England. It is made from batter and usually served with roast meat and gravy. Moreover, this meal is served traditionally on special occasions such as Christmas served with standing rib roast.
by david faustino November 22, 2012
Get the Yorkshire pudding mug.A polygon with an infinite amount of sides. Also, a set of all points all equidistant from the center.
by david faustino October 18, 2012
Get the Circle mug.A great person on and off the field. A former NFL defensive player for the Philadelphia Eagles in the 80s, early 90s, played later for the Green Bay Packers, then played and ended his career with the Carolina Panthers. One of the greatest defensive players of all-time. Won a superbowl ring in 1997 with the Green Bay Packers with Mike Holmgren and Brett Favre. Died in 2004 with sleep apnea. Was a reverend, practiced what he preached, class act on and off the field.
by david faustino November 5, 2012
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