Understanding parallel lines
By: Steven Mars
A straight line is a line segment extended infinitely in both directions. Two straight lines can be either parallel, skew, or intersect. Parallel lines are straight lines that do not intersect and are always spaced an equal distance apart. Skew lines also do not intersect...
Division by zero is it really Impossible
By: Brian Hurren
One piece of logic that keeps popping up on these pages is that if you take say 1 and divide it by 2 you get obviously 1/2 (one half) and then you follow the thread, if you divide 1 by 3 equals 1/3 ( a...
Division by zero is it really Impossible
By: L. Merlino
Division by zero: is it really impossible?They say that division by zero is impossible, but I say that it's an attribute of the full set. If you don't mind blinking in and out of existence in the interim, let me take you on a...
Division by zero is it really Impossible
By: S. Clifford Davis
What we are looking at is an understanding, an obvious without a statement. It is like the question "what is 1 and 1?". You did not hear the word plus but you take it upon yourself to see this as a question of addition...
Understanding quadratic equations
By: Steven Mars
Quadratic equations are equations of degree 2. The degree is the highest exponent of the equation. For example, x^2+2x+1=0 is a quadratic equation because the highest exponent (degree) is 2. Quadratic equations are solved using the quadratic equation if factoring is not possible. This equation...
Understanding the Pythagorean theorem
By: Steven Mars
Triangles have three connecting line segments called sides in plane geometry. The three line segments intersect at three vertices. The Pythagorean Theorem was discovered by the School of Pythagoreans, led by Pythagoras of ancient Greece. It is one of the most important theorems of mathematics...
Calculus: The basics
By: Steven Mars
Calculus is the branch of mathematics that is a combination of algebra and geometry. It was discovered at the same time by the English mathematician and physicist Isaac Newton (1642-1727) and German mathematician and philosopher Gottfried Leibniz (1646-1716) in the 17th century. It is one...
Division by zero is it really Impossible
By: Marie B
When we use math, we usually use it in one of two ways: tangible and intangible methods. This kind of question asks us to negate everything we have been taught, ever proved to be logically true, and ask that big "What if" question. Since math...
By: Dawn Sundene
Mathematics is certainly utilitarian. I completely agree with anyone and everyone who understands how necessary math is in the everyday world, not only for relatively simple things such as balancing a checkbook or figuring out which can of peas is the better value by weight...
By: Brad Kincaid
Al Karaji enjoyed fame as a mathematician and engineer in his lifetime. Born around 980, he died in 1030. Some dispute exists as to whether his actual name was al-Karaji or al-Karkhi. If his name was al-Karanji, then he is likely from the city of...

 

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