You will need

- - a sheet of paper;
- pencil;
- a pair of compasses.

Instruction

1

Prepare in order to start the construction. To do this, draw two lines perpendicular to each other. The point at which they intersect, indicate the letter "O". This will be the future centre of the ellipse.

2

Define the essential values. The ellipse has the semimajor and semiminor axes. Before building label them a and b, respectively. As a rule, the length of these two segments is given in the problem statement to build an ellipse.

3

Take a compass and set the solution so that it was equal to the length of the segment a. Then set the compasses at O, and mark on one of the lines two points – P1 and P2. After that, the solution of the compass equal to segment b, designate two points on the second straight and name them Q1 and Q2. The resulting two line segments P1P2 and Q1Q2 are the large and small axes of the ellipse of the future, and the points – its vertices.

4

Find the foci of an ellipse. For this purpose a solution must be equal to the segment a. Set the compass at point Q1 or Q2, and indicate on the segment P1P2 two points F1 and F2.

5

Note on the segment P1P2 any point and call it T. Then, setting the compasses at this point, they measure the distance to P1, then draw a circle of this radius centered at the point F1. Next, draw another circle with a radius equal to the distance from point T to point P2, with center F2.

6

Mark the point of intersection of the two resulting circles. They belong to the desired ellipse. In order to draw the whole ellipse, you will have to repeat the steps described in the previous paragraph actions already new points arbitrarily marked on the segment P1P2.

7

Once you find a sufficient number of intersection points, connect them with solid line. This will be the desired ellipse.

Useful advice

To simplify and speed up the build process, instead of whole circles can be designated only the portion that is necessary to find points of intersection.

# Advice 2 : How to draw an ellipse

Despite the fact that the ellipse and the oval looks very similar, geometricheskie they are different figures. And if the oval can be drawn only with a compass, correct the ellipse to be drawn with a compass impossible. Thus, we consider two ways of constructing an ellipse on the plane.

Instruction

1

The first and easiest method of drawing the ellipse.

Spend two mutually perpendicular lines. From the point of intersection the compass, draw two different-sized circles: the diameter of the smaller circle equal to a given width of the ellipse or the shorter axis, the diameter of the majority of the length of the ellipse major axis.

Spend two mutually perpendicular lines. From the point of intersection the compass, draw two different-sized circles: the diameter of the smaller circle equal to a given width of the ellipse or the shorter axis, the diameter of the majority of the length of the ellipse major axis.

2

Divide a large circle into twelve equal parts. Connect straight through the center point of the tick marks, located opposite each other. The smaller circle is also divided into 12 equal parts.

3

Number points clockwise so that the point 1 was the highest point in the circumference.

4

Point tick marks on the larger circle, except points 1, 4, 7 and 10, draw a vertical line down. From the corresponding points on the smaller circle, draw a horizontal line intersecting with the vertical, i.e. a vertical line from point 2 of the larger circle should intersect with the horizontal line from point 2 the smaller circle.

5

Connect with a smooth curve the points of intersection of vertical and horizontal lines, and points 1, 4, 7, and 10 small circumference. The ellipse is constructed.

6

For another way of drawing the ellipse, you will need a compass, 3 pins and strong flax thread.

draw a rectangle with height and whose width would equal the height and width of the ellipse. Two intersecting lines divide the rectangle into 4 equal parts.

draw a rectangle with height and whose width would equal the height and width of the ellipse. Two intersecting lines divide the rectangle into 4 equal parts.

7

With a compass draw a circle that crosses the long average. This support rod of a compass must be installed in the center of one of the sides of the rectangle. The radius of the circle is the length side of the rectangle divided in half.

8

Mark the points where the circle crosses the middle vertical line.

9

Plug in these points, two pins. The third pin in the plug end of the middle line. Tie all three pins linen thread.

10

Remove the third pin and instead use a pencil. Using uniform tension of the thread, draw the curve. If done correctly, you should get an ellipse.

# Advice 3 : How to draw a proper oval

**Oval**is a shape that is very often used for images of different objects, for example, in architecture, in the manufacture of furniture, even when drawing animals. Hand-eye oval how to draw and how to draw the correct oval?

You will need

- - landscape sheet;
- pencil;
- - the range;
- eraser.

Instruction

1

In the middle of the sheet draw a rhombus – a geometrical figure in which all sides are smooth, and the opposite side is even and parallel. The size of the diamond so choose to fit your desired oval.

2

Draw two straight lines coming from the top of the obtuse angle. The second line ends bring to the middle of opposite sides. In the same way and draw the lines going from the second obtuse angle of the rhombus. Thus, it turned out four lines, intersecting at some points in the middle of the diamond.

3

Put the leg of the compass alternately points of intersection of lines and spend half circles with a radius equal to the distance from the point to the nearest wall of a rhombus. Thus, instead of the acute angles of a rhombus given two sides of a regular oval.

4

Put the leg of a compass at the vertex of obtuse angles. Measure a distance equal to held direct, and swipe arcs that connect the endpoints of straight, leaving one blunt corner. Turned out the missing side of the right oval. Remove all unnecessary lines with eraser.

5

Draw an oval with the second method. First, draw a horizontal line. Then divide it into three equal segments. In point, the middle of the cut, place the compasses, and slide two of the same circle of radius equal to the length of one segment of the horizontal line. To draw the correct ellipse, mark points where the circles intersect among themselves. With each of these points, swipe at the two lines passing through the centers of the circles and intersecting with the opposite sides of the circles. Put the compasses in the point of intersection of circles and radius equal to the length of the direct, swipe the arc, forming the top and bottom sides of a regular oval. The right oval is drawn.

# Advice 4 : How to draw an ellipse in isometric

**The ellipse**is an isometric projection of a circle. Oval build points and get on the patterns or curved lines. The easiest way to draw an ellipse in

**isometric**, inscribing a figure in a rhombus, otherwise isometric projection of a square.

You will need

- - the range;
- - gon;
- pencil;
- paper for sketching.

Instruction

1

Consider how to draw an ellipse in

**isometric view**, lying in a horizontal plane. Construct a perpendicular to the axis X and Y. the intersection of the mark O.2

From point O mark on the axes the segments is equal to the radius of the circle. Marked points indicate the numbers 1, 2, 3, 4. Through these points parallel to the guide axes of the straight.

3

From point O mark on the axes the segments is equal to the radius of the circle. Marked points indicate the numbers 1, 2, 3, 4. Through these points parallel to the guide axes of the straight.

4

Draw a arc from the vertex of obtuse angle of the connecting point 1 and 4. Similarly, connect the dots 2 and 3, having an arc from vertex D. Connect the points 1,2 and 3,4 of the centers of the small arcs. Thus constructed the ellipse in

**the isometric**inscribed in a rhombus.5

The second way to draw an ellipse in

**isometric**is to circle map distortion. Draw X and Y axis, from point O, draw two auxiliary circle. The diameter of the inner circle equals the minor axis of the ellipse, the major axis.6

In one quarter build auxiliary rays emanating from the center of the ellipse. The number of rays is arbitrary and the more, the more accurate the drawing. In our case it will be enough three auxiliary beams.

7

Will receive additional points of the ellipse. From the point of intersection of the beam with the smaller circle draw a horizontal line parallel to the X axis towards the outer circumference. From the top of the point lying at the intersection of the beam and of a large circle, drop a perpendicular.

8

The resulting point label figure 2. Repeat the operation for finding 3 and 4 points of the ellipse. Point 1 is located at the intersection of the Y-axis and the small circle, point 5 on the X-axis in place of the passage of the outer circumference.

9

Guide curve through these 5 points of the ellipse. At points 1 and 5 curve are strictly proportional to the axes. Spend a similar construction of an ellipse in

**isometric**on the remaining ¾ of the drawing.