Basic Geometry Drawing

This page contains some useful things that can be drawn with a strait edge, compass, and protractor.

Bisect a Line
First draw a line segment you want to bisect. Strait Line
Take a compass and set its length to be a little bit more than half. Set the needle at one end of the line and draw an arc above an below the line around the middle. In the picture point B was used. First Arc
Now without changing the compass's length set the needle to the other point and draw an arc above and below. In this picture point A is the opposite one. Second Arc
Draw a line from where the arcs cross to bisect the line. That means that the length from A to E is the same as E to B, and all the angels there are 90°. Bisect

Bisect an Angle
First draw the angle you want to bisect. Angel
Place the compass needle at the angle's base point and draw to arcs intersecting it's lines. Arc on Rays
Set the compass length to be the distance between the two intersections. Place the needle on one intersection and draw an arc around the middle of the angle. In this example point B was used. First Arc
Keeping the compass the same length place the needle on the other intersection and draw an arc around the middle. Second Arc
Draw a line from the new interaction to the base point of the angle. The degrees of the new angles are equal. Bisect Angel

Draw an Equilateral Triangle
First draw a line segment the length of the side of the desired triangle. Line Segment
Set the compass size to be the same as the length of the line segment. Place the needle at a point and draw an arc above its middle. In this picture point B was used. First Arc
Without changing the compass's length, set the needle to the opposite point and draw an arc above the middle. Second Arc
Draw a line from the each end of the line segment to where the arcs intersect to form an equilateral triangle. That means the lengths from A to B, B to C, and C to A are all the same. Triangel

Compass Rose
First draw a circle with a compass. Circle
Without changing the compass's length place the needle on a point of the circle and draw an arc on the inside. First Arc
Again while keeping the compass's length the same, place the needle on one of the points where the arc intersects the circle and draw another one. Second Arc
Continue drawing arcs at intersections to finish the rose. Notice that points of the intersections can be used to form a hexagram or hexagon. Compass Rose

Regular Polygon Points
This is how to get all the points of a regular polygon--all the sides are the same length--to be used for any 'gon or star to be drawn from them. Also included is a way to transfer it to a smaller size. Anyways first divide 360 by the number of sides in the polygon. This example will use seven. 360 / 7 = ~51.5
Now we draw that angle using a protractor. Base Angle
Now draw a circle from the base of the angle to a size of where you want the polygon to fit. If you are going to transfer it to something (smaller) draw the same circle on that object. Circle and Angle
Take the compass and measure the distance from where the angel intersect the circle. Place the needle on the edge and draw an arc intersecting the circle. Since this diagram still has the angel we use one of those points as a base. If this was a transfer it could be anywhere on the circle. First Arc on Circle
Now walk the circle using the existing arcs as a base to make new ones. Do this up to the last point, but do not mark it. Arcs on Circle
In an ideal world the angels would be perfect but this isn't. Little by little, unknowingly to the drawer, angels have been accumulating due to the thickness of the drawing implement. This is more pronounced the smaller the circle is and the thicker the drawing implement's tip is. So for the last point, just bisect the final angel by arcing as before, but repeat it in the opposite direction from the first point. Bisect final Arc
There you have your points. Clean up any marks, connect the dots, and any other stuff. This example reflected every other point giving the polygon for Netzach and the planets. Netzach Polygon

Tree of Life
Just draw three circles in a row using the Compass Rose technique. Now let me focus certain points. The rest should be easy. 3 Three Circles and arcs.First Arc

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Last updated on 20-Dec-2005 10:14 AM