How to draw an ellipse in an isometry

How to draw an ellipse in an isometry

Ellipsis — one of geometrical figures. Externally has similarity to an oval, but if the last can be cylinder section the plane, then the ellipsis turns out in the investigation of section of a cone the plane. Creation of an oval demands less exact calculations and is made, as a rule by means of compasses. The ellipsis needs to be built on the verified coordinates of several points.

Instruction

1. Draw two circles — big and small. Diameter of the first has to be equal to coordinatesbigellipsis axis , diameter of the second, small, a circle matters its small axis. They have to settle down on one straight line in one plane — a small circle in the center big. Carry out through the center of circles of axis X and Y. For more exact creation of figures use compasses, having placed its basic core in the center of crossing of an abscissa and ordinate.

2. From the general center accurately lower several beams so that they crossed both circles. Accuracy creation of an ellipsis will depend on quantity of the constructed beams. Not less than 12 — 15 beams recommended to execute, than their are more, especially exact creation of a figure can be reached. Beams have to go a little over the edge of a big circle.

3. Construct additional points of an ellipsis. For this purpose from a point crossing of a beam with a small circle draw a horizontal line to a big circle. From a point crossing of a beam with a big circle lower a beam to earlier constructed horizontal line. Accurately carry out a curve through these points, it also will be an ellipse contour.

4. For check of accuracy of creation of an ellipsis transfer its coordinates from one quarter to opposite. If these points coincide - the figure is constructed truly.

5. Conduct all constructions well ground pencil. You do not press strongly on its core during work as on paper there will be traces which cannot be erased. It significantly spoils a type of your drawing. After creation of a figure accurately remove with a rubber eraser all auxiliary constructions - internal circles, axes, horizontals and beams. Use the paper which is specially intended for drawings and a soft pencil for achievement of the best result.

Author: «MirrorInfo» Dream Team


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