Draw a line from the bottom of the circle to the place where you want the normal to be. Continue this line underneath the artwork. Draw a line across the center of the circle until it touches the other side of the circle. Draw **a straight line** downward till it intersects the normal. This will create a bump on the surface.

There are two types of trochoids: sineoidal and cycloidal. With **a sineoidal trochoid**, the curve has the same shape as a sinusoid (a wave pattern), whereas with a cycloidal trochoid, the curve looks like a cycle (a round shape). For **both types** of trochoids, there is a point on the curve where two lines cross each other - these points are called "branches". At every branch, the normal comes to a point. You can see an example of a sineoidal trochoid in the image below. The blue line is the normals, and the red dots are the branches.

For drawing your own trochoids, start with a circle and add **some branches** by following the steps mentioned above. You can make the branches go in different directions by rotating the circle before adding the next branch. Use trial and error to find the right direction for making the branches work best for your design.

Have fun!

Here's how it works:

- Use a compass to draw a circle.
- Place the compass point on the edge of the circle and make a faint mark on the edge.
- Now you will use the straight edge to connect different points.
- Next, connect every other mark to form a large triangle.

Step-by-step instructions for sketching a cycloid

- A cycloid is a curve generated by a point on the circumference of a circle Which rolls in a plane surface along a straight line without slipping πD 1 2 3 4 5 6 7 8 9 10 11 12 Principles of cycloid.
- Draw a circle with given diameter as shown Diameter.
- Divide the circle 12 equal parts as shown.

Draw the column a-center b's line and split it into six equal sections. Draw horizontal lines connecting these spots. Make c-d the lower end diameter and e-f the upper end diameter. Draw a semicircle from c to d and drop a vertical line from f to produce a total of 6 on the semicircle. These are the notes for the column. Now check your drawing by finding the dimensions of each section and determine if they are correct.

Drawing Sharingan

- Get out your drawing pad, pencil, and eraser.
- Next draw another circle in the middle of the main shape but this time be sure it is not as bold.
- On the inner circle draw three more dots but this time add wispy tails.
- That’s it you’re done.

Creating polylines or freehand curves

- Select the Freehand tool ( ).
- Click and hold to place the starting point of your curve.
- Drag the cursor to draw.
- Drag the cursor to draw.
- Release the mouse button to stop drawing.
- (Optional) End your curve at the point where you started drawing to create a closed shape.

Steps

- Sketch four even lines, with uneven spacing as shown.
- At the top, draw two curved lines for the ferrule (the piece that holds the eraser).
- Draw a triangle at the other end of the pencil and a curved line for the lead.
- Sketch in quarter circles connecting the lines for the sharpened markings.

By practicing with a mirror, you may improve your symmetry in sketching. Draw a straight line on the vertical or horizontal axis with a ruler. Draw half of a shape on one side of the straight line. Draw half of **a cross or heart form**, for example. Now draw **the other half** on the opposite side of the ruler. The two shapes should match exactly.

This exercise helps you become aware of asymmetry in drawings and allows you to correct it. It also teaches you how to use **reference materials** effectively because you can see exactly what part of the object you are copying.

The more you practice this exercise, the better you will get at drawing symmetrical objects.