Axonometrical projections apply to transfer on the drawing idea of a subject form from different sides. At the same time the type of a subject is from different sides projected on the cube plane. The inclination of the planes in an axonometrical projection gives to a circle the form of an ellipse. Because of difficulty of creation of ellipses in practice they are replaced with ovals.
It is required to you
- Sheet of paper, pencil, compasses, protractor, ruler or square.
Instruction
1. To construct a circle in axonometries helps a square in which the set circle is entered. On the plane under an inclination the square takes the rhombus form. Therefore at first construct a rhombus in the necessary plane. Its parties have to be equal to diameterto circles and are parallel to the corresponding axes of a projection. The center of a rhombus has to coincide with the center of a circle.
2. Consistently designate corners of the constructed rhombus by points of A, B, C and D. At the same time the point of A has to be located in that corner of a rhombus which is closest to a point of intersection of axes on an axonometrical projection.
3. Draw diagonals of the turned-out rhombus, having connected pieces of a point of A and C and also B and D. Diagonal of AC forms a small axis of an oval, and BD diagonal – big.
4. Crossing of ovals forms the center of a rhombus and circle on the plane. Designate it by letter O.
5. Draw O two lines which are parallel to axes of a projection through the center of a rhombus and divide a rhombus into 4 parts.
6. Consistently designate points in which the line projections parallel to axes cross the parties of a rhombus the letters E, F, G and H. The point of E has to follow A point in the same direction in which rhombus corners were consistently designated.
7. Connect points of A and G and also C and E pieces.
8. Designate points in which the big axis of a rhombus crosses pieces of AG and EC the letters I and J. At the same time the point of I has to lie on EC piece, and J point on EC piece.
9. By means of compasses draw an arch between points of E and F. The center of a circle for an arch is located I, and its radiuses are equal in a point to EI piece length. Similarly draw an arch between points of G and H.
10. Draw two arches which will finish creation of an oval on a projection. The first arch in a point of A connects points of F and G to the center of a circle. Radius of the first arch is equal to AG piece length. The second arch connects points of E and H to the center of a circle which is located in a point of C. Its radius is equal to EC piece. When you stop drawing the second arch, you receive the constructed circle on the plane of an axonometrical projection.