The ellipse is an isometric projection of a circle. The oval is built on points and circled on curves or figured rulers. It is the simplest to construct an ellipse in an isometry, having entered a figure in a rhombus, differently an isometric projection of a square.
It is required to you
- - ruler;
- - square;
- - pencil;
- - paper for drawing.
Instruction
1. Let's consider how to construct the ellipse in an isometry lying in the horizontal plane. Construct perpendicular axes X and Y. A point of intersection designate O.
2. From a point of O postpone the pieces equal to radiusto circles on axes. Designate the designated points by figures 1, 2, 3, 4. Through these points draw straight lines parallel to axes.
3. From a point of O postpone the pieces equal to circle radius on axes. Designate the designated points by figures 1, 2, 3, 4. Through these points draw straight lines parallel to axes.
4. Carry out an arch from top of an obtuse angle, having connected points 1 and 4. Similarly connect a point 2 and 3, having carried out an arch from top of D. Connect points 1.2 and 3.4 of the centers of small arches. Thus the ellipse in an isometry entered in a rhombus is constructed.
5. The second way to construct an ellipse in an isometry consists in display of a circle with distortion coefficient. Draw axes X and Y, from a point of O carry out two auxiliary circles. Diameter of an internal circle is equal to a small axis of an ellipse, external – a big axis.
6. In one quarter construct the auxiliary beams coming from the center of an ellipse. Quantity of beams any, the more, the more precisely drawing. In our case will be three auxiliary beams enough.
7. Receive additional points of an ellipse. From a beam point of intersection with a small circle draw the horizontal line parallel to axis X towards an external circle. From the top point lying on crossing of a beam and big circle lower a perpendicular.
8. Designate the received point by figure 2. Repeat operations on finding of 3 and 4 points of an ellipse. The point 1 is on crossing of axis Y and small circle, a point 5 on axis X in the place of passing of an external circle.
9. Carry out a curve through the received 5 points of an ellipse. In points the 1 and 5 curve is strictly proportional to axes. Carry out similar creation of an ellipse in an isometry on remained ¾ the drawing.