Trigonometric calculations using the Law of Sines author S H Scofield
Name/Title
Trigonometric calculations using the Law of Sines author S H Scofield
Entry/Object ID
002860
Tags
S H Scofield
Scope and Content
Author: S. H. Scofield (a name well-associated with historic surveying and mathematics in southeastern New York / Orange County regions).Topic: A geometric proof and construction manual for dividing a primary circle into three equal regions, inscribing smaller ("less") circles within those divisions, and calculating the specific areas generated by their intersections. Key Operations: * Trigonometric calculations using the Law of Sines (expressed in classical "As... Is to... So is... To..." ratio format) to determine distances $BD$ and $BC$. Application of the Pythagorean theorem to find the altitude ($LM$) of an inscribed equilateral triangle ($JKM$).A step-by-step geometric solution to find the area of a central tri-lobed or star-like inner figure ($NOP$) by subtracting fractional circular areas from the central triangle.
