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Geometry of Movement and Centre of Gravity

A dancer draws in the air with the body. Straight, diagonal and curved lines, and shapes like triangles and circles, make a dance clear to look at. To stay upright the dancer controls the centre of gravity, the point where the body weight seems to gather. The body is balanced when a straight line down from this point falls inside the base, the space between the supporting feet. A wider base is steadier. Leaning pushes the point sideways, and an arm stretched the other way pulls it back.

🎬 Step-by-step story

  1. Every move draws a line. One dancer makes a straight line, one a diagonal, one a curve. See the coloured line of each.
  2. The body also draws shapes. Wide legs and arms up make a triangle. Arms in a ring make a circle.
  3. Where is the weight? The red ball is the centre of gravity. A thin line drops from it straight to the floor.
  4. The base is the space between the feet. The green bar is the base. A wide base wobbles less than a narrow one.
  5. Lean more and more. When the red point leaves the green base, the dancer falls. An arm stretched the other way saves the balance.
  6. Free play: choose a base, change the lean and check if the red point stays inside the green bar.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Is a curved line weaker than a straight one?

No. They just feel different: straight is calm and strong, curved is soft and flowing. Dancers use both.

Where exactly is the centre of gravity?

In a standing person it is near the belly. The red ball marks it. It moves if the body changes shape.

Why does a wide base help?

The green bar is longer, so the red point can move further before it leaves the base.

Why can I lean more when I stretch the other arm?

The arm shifts weight the other way, so the red point moves back toward the middle.

How do ballet dancers balance on one toe?

They keep the centre of gravity exactly above that tiny base with a tall straight body and tight core, and use arms to make tiny corrections.

Lines in movement

Every move of an arm, leg or the whole body draws a line. Three kinds are common:

A dancer also draws lines on the floor (the path walked) and in the air (the path of a hand).

Shapes in movement

The whole body can make shapes: a triangle (legs wide, arms up), a circle (arms in a ring), a square (sharp corners at elbows), or a wide X. Groups also make shapes with their positions. Clear shapes help the audience see the idea, even from far away.

Balance and weight: the centre of gravity

Weight pulls everything down. The centre of gravity is the point where all the body weight seems to gather. For a person standing it is near the belly, a little below the navel.

If you raise the arms the point moves a little up. If you bend sideways it moves sideways.

The base and staying balanced

The base is the area between the supporting feet. Rule: the body is balanced when a straight line down from the centre of gravity falls inside the base.

When the line goes outside the base, the body falls. Stretching an arm or leg the other way (counterbalance) moves the point back inside.

Try it: At home, stand on one foot, then lean slowly. Notice how far you can go. Now stretch the other arm and leg out: you can lean more. In the 3D, find the biggest lean that stays safe for the narrow base.

Key formulas and definitions

Worked examples

1. A dancer has a base 0.6 m wide, so half the width is 0.3 m. The red point is 0.2 m from the centre. Is the dancer balanced?

Yes. 0.2 m is less than 0.3 m, so the point is inside the base.

2. The same dancer leans until the point is 0.4 m from the centre. What happens and what can help?

0.4 m is more than 0.3 m, so the dancer falls. Stretching an arm the other way or widening the feet brings the point back inside.

3. The centre of gravity is 1.2 m high and the lean is 30 degrees (sin 30 = 0.5). How far does the point shift sideways?

1.2 × 0.5 = 0.6 m. The base half-width must be more than 0.6 m to stay up.

Common mistakes

Practice quiz

1. The centre of gravity is:
2. A dancer is stable when the line from the centre of gravity falls:
3. Which base is steadier?
4. What does a counterbalance arm do?
5. Arms ring above the head make which shape?

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is the centre of gravity in dance?

The point where the whole body weight seems to gather. Dancers keep it above the base to stay balanced.

Why do dancers bend their knees?

Bent knees lower the centre of gravity, which makes balance and landings steadier.

What lines and shapes do dancers use?

Straight, diagonal and curved lines, and shapes such as triangle, circle, square and X.

Where this is taught

China九年级(初三)Sem.1 U4 Movement code

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