Conic section with Thai musical instruments

Conic section with Thai musical instruments

Thai music with Thai culture

Music is a man-made work. Using sound as a medium to convey the
style melody. Music is valuable to human beings in creating a happy life
soothing sadness as a medium to complement traditional activities. In Thai
society and culture, Thai music is a permanent event that conveys
nationality.

Thai music is important and meaningful to the individual in the
development of mental quality. In many provinces in the central region.
types of Pi Phat bands. There is a stringed band, Orchestra ( mahori) is a
joyful entertainment machine. North has a Lanna band. Northeastern has
northeastern folk music. The South has south folk music. These are
indications of Thai.

Examples of Thai musical instruments

• Alto xylophone

• Alto bamboo xylophon

• Cymbals

• Large Knog circle

• Tapone

• Rebana drum
• Zither
• Kajubbi

Parabola in Thai musical instruments

1. If the coefficiyent of y is positive

x

y

x

2. If the coefficiyent of y is negative

x

3. Ifythe coefficient of x is positive.

x

4. If the coefficient of y is nyegative.

x

Definition of Parabola

A parabola is a curve where any point is at
an equal distance from:
• a fixed point (the focus ), and
• a fixed straight line (the directrix )

The equations of parabolas in different orientations are as
follows

x2 = 4ay x2 = -4ay

y2 = 4ax y2 = -4ax

Equations of parabolas vertex (h , k)

(y – k)2 = 4c(x – h) (x – h)2 = 4c(y – k)

*** V is vertex and F is focus

Standard equation of parabolas

When D, E, F is constant.

Axis of symmetry General equation
Parallel to axis x y2 + Dx + Ey + F = 0 ; D  0
Parallel to axis y x2 + Dx + Ey + F = 0 ; E  0

Hyperbola in Thai musical instruments

1. hyperbola’s conjugate axis is x-axis

2. hyperbola’s conjugate axis is y-axis

Equations of hyperbolas

3. hyperbola’s conjugate axis is x-axis

Vertex (0,0) equations is

4. hyperbola’s conjugate axis is y-axis

Vertex (0,0) equations is

Length of Conjugate axis is 2b
Length of focus is

Circle in Thai musical instruments
y

x

Definition of circle

Circle is a 2-dimensional shape made by drawing a curve that is
always the same distance from a center.

Equations of circle

• Vertex (0,0) y

P (x, y)
x

(0,0)

Equations of circle vertex (0, 0) is x2 + y2 = r2

• Vertex (h, k)

Equations of circle vertex (h, k) is (x – h)2 + (y – k)2 = r2

Ellipse in Thai musical instruments y

1. Vertex on the x-axis

x

2. Vertex on the y-axis

y
x

Definition of ellipse

Any point P on an ellipse has the same sum of distances to two
"focus" points (marked F and G here).

Equations of ellipse

Vertex on the x-axis Vertex on the y-axis
x2 y2 x2 y2
General equation a2 + b2 = 1,a > b > 0 + = 1, a > b > 0
b2 a2
Vertex (-a, 0) , (a, 0) (0, -a) , (0, a)
Major Axis
Minor Axis On x-axis length is 2a On y-axis length is 2a
Focus
Graph On y-axis length is 2b On x-axis length is 2b

(-c, 0) , (c, 0) ; c2= a2 – b2 (0, -c) , (0, c) ; c2= a2 – b2