WNA Geometry

 

 


Remember, without geometry, life is pointless.



Limericks:

'Tis a favorite project of mine 
A new value of pi to assign. 
I would fix it at 3 
For it's simpler, you see, 
Than 3 point 1 4 1 5 9 

If inside a circle a line 
Hits the center and goes spine to spine 
And the line's length is "d" 
the circumference will be 
d times 3.14159 

This poem was written by John Saxon (an author of math textbooks). 
((12 + 144 + 20 + (3 * 4^(1/2))) / 7) + (5 * 11) = 9^2 + 0

A Dozen, a Gross and a Score, 
plus three times the square root of four, 
divided by seven, 
plus five times eleven, 
equals nine squared and not a bit more.

 
The comic above comes from this website - good stuff!

"Divide fourteen sugar cubes into three cups of coffee so that each cup has an odd number of sugar cubes in it." 
"That's easy: one, one, and twelve." 
"But twelve isn't odd!" 
"Twelve is an odd number of cubes to put in a cup of coffee..."

Trigonometry is a sine of the times.


Quotes:
  • Mathematics is made of 50 percent formulas, 50 percent proofs, and 50 percent imagination. 
  • Old mathematicians never die; they just lose some of their functions. 
  • Math is like love; a simple idea, but it can get complicated.
  • The difference between an introvert and extrovert mathematicians is: An introverted mathematician looks at his shoes while talking to you. An extroverted mathematician looks at your shoes.
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.  ~John Louis von Neumann

Pure mathematics is, in its way, the poetry of logical ideas.  ~Albert Einstein

I never did very well in math - I could never seem to persuade the teacher that I hadn't meant my answers literally.  ~Calvin Trillin

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.  ~S. Gudder

Go down deep enough into anything and you will find mathematics.  ~Dean Schlicter

The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think.  This is the hog-tie, and it is what Euclid did to geometry.  ~Eric Bell, The Search for Truth

The hardest arithmetic to master is that which enables us to count our blessings.  ~Eric Hoffer, Reflections On The Human Condition

Anyone who cannot cope with mathematics is not fully human.  At best he is a tolerable subhuman who has learned to wear shoes, bathe, and not make messes in the house.  ~Robert Heinlein, Time Enough for Love

Can you do Division?  Divide a loaf by a knife - what's the answer to that?  ~Lewis Carroll, Through the Looking Glass

Infinity is a floorless room without walls or ceiling.  ~Author Unknown

The laws of nature are but the mathematical thoughts of God.  ~Euclid

A man has one hundred dollars and you leave him with two dollars.  That's subtraction.  ~Mae West

Uneven numbers are the gods' delight.  ~Virgil, The Eclogues



An engineer, a physicist and a mathematician are staying in a hotel. 
The engineer wakes up and smells smoke. He goes out into the hallway and sees a fire, so he fills a trash can from his room with water and douses the fire. He goes back to bed. 
Later, the physicist wakes up and smells smoke. He opens his door and sees a fire in the hallway. He walks down the hall to a fire hose and after calculating the flame velocity, distance, water pressure, trajectory, etc. extinguishes the fire with the minimum amount of water and energy needed. 
A while later, the mathematician wakes up and smells smoke. He goes to the hall, sees the fire and then the fire hose. He thinks for a moment and then exclaims, "Ah, a solution exists!" and then goes back to bed.


A biologist, a physicist and a mathematician were sitting in a street cafe watching the crowd. Across the street they saw a man and a woman entering a building. Ten minutes they reappeared together with a third person. 
- "They have multiplied," said the biologist. 
- "Oh no, an error in measurement," the physicist sighed. 
- "If exactly one person enters the building now, it will be empty again," the mathematician concluded. 


A mathematician, a physicist, and an engineer are all given identical rubber balls and told to find the volume. They are given anything they want to measure it, and have all the time they need. The mathematician pulls out a measuring tape and records the circumference. He then divides by two times pi to get the radius, cubes that, multiplies by pi again, and then multiplies by four-thirds and thereby calculates the volume. The physicist gets a bucket of water, places 1.00000 gallons of water in the bucket, drops in the ball, and measures the displacement to six significant figures. And the engineer? He writes down the serial number of the ball, and looks it up.

Twice two makes four seems to me simply a piece of insolence.  Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting.  I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too.  ~Fyodor Mikhailovich Dostoevsky


I know that two and two make four - & should be glad to prove it too if I could - though I must say if by any sort of process I could convert 2 & 2 into 
five it would give me much greater pleasure.  ~George Gordon, Lord Byron


New York (CNN). At John F. Kennedy International Airport today, a high school mathematics teacher was arrested trying to board a flight while in possession of a compass, a protractor and a graphical calculator. According to law enforcement officials, he is believed to have ties to the Al-Gebra network. He will be charged with carrying weapons of math instruction. It was later discovered that he taught the students to solve their problem with the help of radicals!


    Top ten excuses for not doing homework:

  • I accidentally divided by zero and my paper burst into flames.
  • Isaac Newton's birthday.
  • I could only get arbitrarily close to my textbook. I couldn't actually reach it.
  • I have the proof, but there isn't room to write it in this margin.
  • I was watching the World Series and got tied up trying to prove that it converged.
  • I have a solar powered calculator and it was cloudy.
  • I locked the paper in my trunk but a four-dimensional dog got in and ate it.
  • I couldn't figure out whether i am the square of negative one or i is the square root of negative one.
  • I took time out to snack on a doughnut and a cup of coffee.
  • I spent the rest of the night trying to figure which one to dunk.
  • I had too much pi and got sick.

"The problems for the exam will be similar to the discussed in the class. Of course, the numbers will be different. But not all of them. Pi will still be 3.14159... " 


The reason that every major university maintains a department of mathematics is that it is cheaper to do this than to institutionalize all those people.


    Dictionary of Definitions of Terms Commonly Used in Math. lectures.

    The following is a guide to terms which are commonly used but rarely defined. In the search for proper definitions for these terms we found no authoritative, nor even recognized, source. Thus, we followed the advice of mathematicians handed down from time immortal: "Wing It."

    CLEARLY:
    I don't want to write down all the "in- between" steps.
    OBVIOUSLY:
    I hope you weren't sleeping when we discussed this earlier, because I refuse to repeat it.
    RECALL:
    I shouldn't have to tell you this, but for those of you who erase your memory tapes after every test...
    IT CAN EASILY BE SHOWN:
    Even you, in your finite wisdom, should be able to prove this without me holding your hand.
    CHECK or CHECK FOR YOURSELF:
    This is the boring part of the proof, so you can do it on your own time.
    BRIEFLY:
    I'm running out of time, so I'll just write and talk faster.
    LET'S TALK THROUGH IT:
    I don't want to write it on the board lest I make a mistake.

Theorems: 
  • There are two groups of people in the world; those who believe that the world can be divided into two groups of people, and those who don't. 
  • There are three kinds of people in the world; those who can count and those who can't. 
  • There are 10 kinds of people in the world, those who understand binary math, and those who don't.


Q: How do you tell that you are in the hands of the Mathematical Mafia? 
A: They make you an offer that you can't understand.

Q: how many times can you subtract 7 from 83, and what is left afterwards? 
A: I can subtract it as many times as I want, and it leaves 76 every time.

Q: What does the zero say to the the eight? 
A: Nice belt!

Q: Why do you rarely find mathematicians spending time at the beach? 
A: Because they have sine and cosine to get a tan and don't need the sun!

Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter? 
A: Pumpkin Pi!

Q: How does a mathematician induce good behavior in her children? 
A: `I've told you n times, I've told you n+1 times...'

Q: How many mathematicians does it take to screw in a light bulb? 
A: None. It's left to the reader as an exercise. 

Q: How many classical geometers does it take to replace a lightbulb?? 
A: None: You can't do it with a straight edge and a compass.


Math and Alcohol don't mix, so... PLEASE DON'T DRINK AND DERIVE

A geometer went to the beach to catch the rays and became a TanGent. 


A Math Romance

They integrated from the very point of origin. Her curves were continuous, and even though he was odd, he was a real number. The day their lines first intersected, they became an ordered pair. From then on it was a continuous function. They were both in their prime, so in next to no time they were horizontal and parallel. She was awed by the magnitude of his perpendicular line, and he was amazed by her conical projections. "Bisect my angle!" she postulated each time she reached her local maximum. He taught her the chain rule as she implicitly defined the amplitude of his simple harmonic motion. They underwent multiple rotations of their axes, until at last they reached the vertex, the critical point, their finite limit. After that they slept like logs. Later she found him taking a right-handed limit, that was a problem, because it was an improper form. He meanwhile had realized that she was irrational, not to mention square. She approached her ex, so they diverged.


Math problems? Call 1-800-[(10x)(13i)2]-[sin(xy)/2.362x].

A mathematician is flying non-stop from Edmonton to Frankfurt with AirTransat. The scheduled flying time is nine hours. 
Some time after taking off, the pilot announces that one engine had to be turned off due to mechanical failure: "Don't worry - we're safe. The only noticeable effect this will have for us is that our total flying time will be ten hours instead of nine." 
A few hours into the flight, the pilot informs the passengers that another engine had to be turned off due to mechanical failure: "But don't worry - we're still safe. Only our flying time will go up to twelve hours." 
Some time later, a third engine fails and has to be turned off. But the pilot reassures the passengers: "Don't worry - even with one engine, we're still perfectly safe. It just means that it will take sixteen hours total for this plane to arrive in Frankfurt." 
The mathematician remarks to his fellow passengers: "If the last engine breaks down, too, then we'll be in the air for twenty-four hours altogether!"


Trigonometry for farmers: swine and coswine...





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