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Mathematics Dictionary
Analytic Geometry
Subjects


  • AN 00 | - Tips
  • AN 01 | - Reviews
  • AN 02 | - Line and Two Points
  • AN 03 | - Trigonometrical Functions in Rectangular Coordinates
  • AN 04 | - Hyperbolic Functions
  • AN 05 | - Conics : Circle
  • AN 06 | - Conics : Parabola
  • AN 07 | - Conics : Ellipse
  • AN 08 | - Conics : Hyperbola
  • AN 09 | - DeMoivre's theory
  • AN 10 | - Polar coordinates : Graphs of R = a + b*F(p*A/q)^M
  • AN 11 | - Coordinate geometry
  • AN 12 | - Transformation matrix
  • AN 13 | - Translation
  • AN 14 | - Rotation
  • AN 15 | - Parametric Equations
  • AN 16 | - Binomial theory
  • AN 17 | - Eliminate x*y terms in F(x,y) = 0
  • AN 18 | - Infinite sequences and series
  • AN 19 | -
  • AN 20 | - Analytic geometry Index
  • AN 21 | - Graphs in analytic geometry
  • AN 22 | - Glossay
  • AN 23 | - Home Work
  • AN 24 | - References and examples
  • AN 25 | - Examples link to program number n1 and n2
  • AN 26 | - Formulae in analytic geometry
  • AN 27 | - Examples with solutions (QA)
    • Answers


    AN 01. Reviews

    • Topic | Reviews
    • Topics
      • Common used formulae and theories in mathematics

    Go to Begin

    AN 02. Line and Two points

    • Topic | Line and two points
    • Topics
      • Equations of line
      • Interception of two lines

    Go to Begin

    AN 03. Graphs of trigonometric Functions

    • Topic | Graphs of trigonometric Functions
    • Examples
      • Sketch y = sin(3*x)
      • Sketch y = sin(x)^3

    Go to Begin

    AN 04. Hyperbolic functions

    • Topic | Hyperbolic functions
    • Outlines
      • 1. Formula and its graphs
      • 2. Compare with trigonometric functions

    Go to Begin

    AN 05. Conics : Circles

    • Topic | Conics : Circles
    • Outlines
      • 1. Equations in rectangular form
      • 2. Equations in polar form
      • 3. Equations in rectangular form
      • 4. Three points define a circle

    Go to Begin

    AN 06. Conics : Parabola

    • Topic | Conics : Parabola
    • Outlines
      • 1. Equations in rectangular form
      • 2. Equations in polar form
      • 3. Equations in rectangular form
      • 4. Three points define a parabola

    Go to Begin

    AN 07. Conics : ellipse

    • Topic | Conics : ellipse
    • Outlines
      • 1. Equations in rectangular form
      • 2. Equations in polar form
      • 3. Equations in rectangular form
      • 4. Convert polar to rectangular and vice versa

    Go to Begin

    AN 08. Conics : hyperbola

    • Topic | Conics : hyperbola
    • Outlines
      • 1. Equations in rectangular form
      • 2. Equations in polar form
      • 3. Equations in rectangular form
      • 4. Convert polar to rectangular and vice versa

    Go to Begin

    AN 09. DeMoivre's Theory

    • Topic | DeMoivre's Theory
    • Outlines
      • Solve x^n + 1 = 0
      • Solve x^n - 1 = 0

    Go to Begin

    AN 10. Polar coordinate : Graphs of R = a + b*F(p*A/q)^M

    • Topic | Graphs of R = a + b*F(p*A/q)^M
    • Examples
      • 1. Find graph of R = 1+1*sin(11*A/4)^3
      • 2. Find graph of R = 1+1*cos(11*A/4)^3

    Go to Begin

    AN 11. Coordinate geometry

    • Topic | Coordinate geometry
    • Outlines
      • 1. Bisectors of angles of tiangle ABC are concurrent
      • 2. Bisectors of sides of tiangle ABC are concurrent

    Go to Begin

    AN 12. Transformation matrix
    • Topic | Transformation matrix
    • Example : Find the matrix to
      • Transform graph as image of y = x
      • Transform graph as image of x-axis
      • Transform graph as image of y = -x
      • Transform graph as image of y-axis

    Go to Begin

    AN 13. Translation
    • Topic | New
    • Examples
      • Translate (x/a)^2 + (y/b)^2 = 1 to ((x-h)/a)^2 + ((y-k)/b)^2 = 1

    Go to Begin

    AN 14. Rotation
    • Topic | Rotation
    • Examples
      • Center and radius of circle relate to line AB are given
      • But line AB makes angle U with x-axis
      • How to sketch the circle using computer graphic method

    Go to Begin

    AN 15. Parametric equations
    • Topic | Parametric equations
    • Examples
      • What is the graph of x = sec(t) and y = tan(t) ?
      • What is the graph of x = tan(t) and y = sec(t) ?

    Go to Begin

    AN 16. Binomial theory
    • Topic | Binomial theory
    • Example
      • Expand 1/(1 + x^2) into series
      • Prove that Lim[(1 + 1/x)^x] = e when x goes to infinite

    Go to Begin

    Q17. New
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    AN 18. New
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    AN 19. New
    Go to Begin

    An 20. Aanlytic geometry Index
    • Topic | Analytic Geometry Index
    • How to find keyword ?
      • Find the section number and topic number of keyword
      • 1st number : Section number
      • 2nd number : Topic number
      • Remeber these two numbers
      • Click Back to back subject page
      • Click "Goto Begin" to top
      • Click section number to enter the required section
      • Click topic number

    Go to Begin

    AN 21. Graphs in Analytic Geometry

    • Topic | Graphs
    • Examples : Find gaphs and
      • Compare ((x-h)/a)^2 - ((y-k)/b)^2 = 1 and ((x-h)/a)^2 - ((y-k)/b)^2 = -1
      • Describe the graph of R = 1 + 1*sin(11*A/4)^3

    Go to Begin

    AN 22. Glossary
    Go to Begin

    AN 23. Home Work

    Random sequence number
    • Topic | Math Home works
    • Questions in algebra, geometry and trigonometry
    Keywords in alphabetic order
    • Topic | Math Home works
    • Questions in algebra, geometry and trigonometry

    Go to Begin

    AN 24. References
    • Topic | Refereces
    • Topics
      • 1. Mathematcis on internet
      • 2. Mathematcis on PC Computer

    Go to Begin

    AN 25. Examples link to program number n1 and n2
    • Topic | Examples link to program number n1 and n2
    • How to use
      • 1. Find the question by alphabetic order
      • 2. Remember the program number n1 and n2
      • 3. Click back and goto begin
      • 4. Click section number n1

    Go to Begin

    AN 26. Formula in anlytic geometry
    Go to Begin

    AN 27. Examples with solution
    • Topic | Examples link to program number n1 and n2
    • How to use
      • 1. Find the question by alphabetic order
      • 2. Remember the program number n1 and n2
      • 3. Click back and goto begin
      • 4. Click section number n1

    Go to Begin

    AL 00. Tips

    Index and examples
    • Lesson 20 : Index
    • Lesson 21 : Application graphic programs
    • Lesson 22 : Glossary
    • Lesson 23 : Goto home works
    • Lesson 24 : References
    • Lesson 25 : Examples link to section numbers, e.g. 03 02
    • Lesson 26 : Formulae in calculus
    • Lesson 27 : Select examples with solution (QA)
    Highlight tops (Update later)
    • 1.
    Run Application graphic program (See Lesson 21)
    • Step 1 : Run at current location (no download)
    • Step 2 : Select Yes to run
    • Notes
      • 1. The application program is only for internet use (Update monthly)
      • 2. Download only available upto end of the month

    Go to Begin
    Show Room of MD2002 Contact Dr. Shih Math Examples Room
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