In mathematics, an ellipse (from Greek ἔλλειψις elleipsis, a "falling short") is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis. An ellipse is also the locus of all points of the plane whose distances to two fixed points add to the same constant.
Ellipses are closed curves and are the bounded case of the conic sections, the curves that result from the intersection of a circular cone and a plane that does not pass through its apex; the other two (open and unbounded) cases are parabolas and hyperbolas. Ellipses arise from the intersection of a right circular cylinder with a plane that is not parallel to the cylinder's main axis of symmetry. Ellipses also arise as images of a circle under parallel projection and the bounded cases of perspective projection, which are simply intersections of the projective cone with the plane of projection. It is also the simplest Lissajous figure, formed when the horizontal and vertical motions are sinusoids with the same frequency.
Sidney K. "Sid" Meier (born February 24, 1954) is a Canadian-American programmer and designer of several popular strategy video games and simulation video games, most notably Civilization. Meier co-founded MicroProse in 1982 and is a Director of Creative Development for computer game developer Firaxis Games, which he co-founded with Jeff Briggs and Brian Reynolds in 1996. He has won several prestigious accolades for his contributions to the computer games industry.
Sid Meier was born in Sarnia, Ontario, Canada. He graduated from the University of Michigan.
Meier founded MicroProse together with Bill Stealey in 1982. MicroProse initially developed flight simulator video games, such as Silent Service and F-19 Stealth Fighter. In 1987, the company released Sid Meier's Pirates!, which also began a trend of placing Meier's name in the titles of his games. Meier later explained that the inclusion of his name was because of the dramatic departure in the design of Pirates! compared to the company's earlier games. Stealey decided that it would improve the company's branding, believing that it would make those who purchased the flight simulators more likely to play Pirates!. After the release of F-19 Stealth Fighter, Meier decided to focus on developing strategy games. He later said, "Everything I thought was cool about a flight simulator had gone into that game." Inspired by SimCity and Empire!, Meier created Railroad Tycoon and later the game series for which he is most widely recognized, Civilization, although he designed only the first installment. Meier eventually left MicroProse and in 1996 founded Firaxis Games along with veteran designer and gaming executive Jeff Briggs. Today Firaxis makes strategy games, many of which are follow-ups to Meier titles, such as Civilization V and Pirates!. In 1996 he was awarded US Patent 5,496,962 for a "System for Real-Time Music Composition and Synthesis" used in a product called "CPU Bach".
Conic Sections: Intro to Ellipses
Algebra 2 - Conic Sections - Ellipses
Conic Sections: Graphing Ellipses Part 1
Conic Sections: Graphing Ellipses Part 2
Graphing Ellipses & Circles
10.3 How to find the center, foci and vertices of an ellipse
Foci of an Ellipse
Sid Meier's Civilization V Soundtrack - Elipse
Conic Sections -- Ellipse
Construction of ellipse by eccentricity method
Graphing the Ellipse.mov
Draw An Ellipse
Equation of an Ellipse, Deriving the formula
Draw A Perfect Ellipse
Conic Sections: Intro to Ellipses
Algebra 2 - Conic Sections - Ellipses
Conic Sections: Graphing Ellipses Part 1
Conic Sections: Graphing Ellipses Part 2
Graphing Ellipses & Circles
10.3 How to find the center, foci and vertices of an ellipse
Foci of an Ellipse
Sid Meier's Civilization V Soundtrack - Elipse
Conic Sections -- Ellipse
Construction of ellipse by eccentricity method
Graphing the Ellipse.mov
Draw An Ellipse
Equation of an Ellipse, Deriving the formula
Draw A Perfect Ellipse
ELLIPSE (FOUR CENTER METHOD)
Ellipse: 4 (pin & string method)
The Rockler Ellipse and Circle Jig
23B.2 Ellipse in Polarkoordinaten und kartesischen Koordinaten
Isometric circles ELLIPSE method
Conic Sections , Ellipse : Find the Foci of an Ellipse
Analytic Geometry [Ellipse Sample Problem]
Engineering Drawing - Conic section - Ellipse
Engineering Drawing: Forming an ellipse inside a rectangle
Another senseless night
Following ice and ice
Trying to loose lucidity
To preserve the little life left within me
I the wanderer among all places forbidden
A pilgrim born from the pits of humanity
Yet something has risen from the shapeless multitude
I see the lie but so many faith are built upon
treachery
To become a whore amidst the highest
Sublimate by boreness: apostles of the night
High speed away backward Cocaine
Champagne and Pain
Another church of the soulless
Another sanctuary for the envious
Here I dare like a puppet
But the truth is I pull your strings
God among pantomimes
You'd sell your soul for one night of mine
Gloomy after in the penthouse
Crying and marble c
Bukkake is the face of the child
Someone bleeds in the pool
Someone pulls in my blood
So, is this it finally?
Where shapes and sounds get lost?
The luxurious side of the void
Take my wrist for my nose won't take anymore
Such pain in my wake
But my eyes see now
Nothing matters
Going ever lower and lower
No but a pale shadow wandering
Till the last string is cut
And the last line is said
Shredding my place to eternity
(I've got to get on it) (3x)
Bodies disengaged, our mouths are fleshing over.
It's just an echo game, irises retreating
to ovals of white.
The urge to feel your face
And blood rushing to paint my handprint
A Frisbee one by one
Your vinyl on lamanent
Desperate for some kind of contact.
First train home, I've got to get on it (3x)
To Catch, to catch, catch catch catch.
First train home, I've got to get on it (3x)
First Train home
Temporal deadzone where clocks are barely breathing
Yet no one cares to notice for all the yelling
All night clamor to hold it together.
I want to play don't wait forms in the hideaway
I want to get on with getting on with things
I want to run in fields, paint the kitchen
And love someone
And I can't do any of that here, can I?
First train home, I've got to get on it (3x)
First Train home
So what? You've had one too many.
So what? I'm not that much fun to be with
So what? You've come silly hatter
So what? I didn't want to come here, anyway.
What matters you, doesn't matter, matter to me.
What matters to me, doesn't matter, matter to you.
What matters to you, doesn't matter, matter to them.
What matters to them, doesn't change anything.
Got to get on it first train home.
Got to get on it first train home
First train home I've got to get on it
(I've got to get on it)
To catch, to catch, catch-catch, catch.
(First train home)
First train home I've got to get on it
First train home.
(First train home)
To go, to go, to go
Get, get, get, get
Out, out, out, out
Now, now, now, now