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Views expressed in the articles, etc., published in Pharos are solely those of the authors, and do not necessarily reflect or represent the views or opinions of Silas H. Shepherd Lodge of Research No. 1843, F. & A. M. of Wisconsin, its officers, or any other Masonic body. Furthermore, authors are solely responsible for the authenticity of their sources. Grateful acknowledgement is given to these authors for permission to reprint them here.

"The Geometry of the Square and Compass"

presented at the

Silas H. Shepherd Lodge of Research # 1843

June 10, 2006 

Brother Thomas A. Zuhlke, PM, 

 

Having noticed several variations of the Square and Compasses on aprons and as jewels, I determined to examine the construction of the emblem, geometrically.

 

To begin, I drew the circle with a set length of the radius (IH), and then using the same radius, beginning at any point on the circle near the top (A), I marked successive lengths, which yielded six points on the circle, points A, B, C, D, E, and F.

 

Drawing lines from each point to the two points opposite, i.e. AC and AE, gave the figure of a six pointed shape, commonly known as the Star of David, which is circumscribed by the circle.  Lines AC and AE are the Compasses, which is a 60° angle.

 

Drawing a line from the top to bottom points (AD), a perpendicular diameter (GH) is drawn through the center point.  Connecting any point on the circumference of the circle to the ends of a diameter yields a right angle or square, which is how the craftsman proved his square.

 

Lines DG and DH are the arms of the Square.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Whence results a due proportion and just correspondence of all its parts.

(Please ignore the crease line running from “H” to below “G”)

geomotry od S&C.jpg
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