IWUAGWU'S POSTULATIONS ON THE BEHAVIOUR EXHIBITED BY THE CIRCUMSCRIBING CENTER OF A TRIANGLE, ALONGSIDE THE PERPENDICULAR HEIGHTS

The whole of the postulations made in this Book simply aim at describing the positioning and occurrence of the circumscribing center of a triangle so much so that given any specifications and orientation for a particular triangle, the position could be sketched to exact precision and accurate dimensions without a single construction. With these postulations, we are able to envision clearly and describe where the circumscribing center of a triangle will be located without a single construction detail, all stemming from the fact that by the postulations we are able to study the circumscribing center's behavior with respect to the angles in the triangle given a particular orientation. Contained also in this book are the mathematical justifications for each postulation made. A rule analogous to the sine rule is also observed but here pertains to the three 'perpendicular heights' obtainable respectively from the three vertices in the triangle, wherein the other two may be obtained when only one is given alongside all the angles in the triangle.