Today, I am reviewing native lumber timber frame trigonometry with Boppy. We are going to try to discuss our historical mathematics scholium pertaining to the domes of Christendom relative to the lives of historical mathematicians. Then, we will consider a breadth of historical forest and math specific western building practices and codes; based theoretically upon Greek and British mathematics and also upon native tree species and forestry mensuration.

Trigonometry alone is a forgotten mathematics in carpentry. Fasteners and adhesives are perhaps to blame. Also, in structural applications, laminate sheathing lumber makes nominal grade common elements a lighter frame option with comparable structural integrity.

Though Newtonian mathematics proceeds from the elliptical, a more elemental aspect of this historical mathematical trajectory is to be seen in an inversion of the Pythagoras to Newton continuum: Pythagorean trigonometric form clicking in degrees of the more Euclidean circle. 90° is 1/4 of a circle and the basis of Pythagorean mathematics. Proceeding 90°, 91°, 92°… nth. when the B squared factor is consistent, causes an arc which becomes the circle. Thus, a triangle in more Pythagorean mathematics becomes a circle along the degrees of which arcs can then perpendicularly create a dome. Simplifying; carpentry is based on level, plum, and square. It is then possible to add trigonometric angular aspects. The Pythagorean right triangle is a base component of a circle. Therefore, it is a component of an arc, a circle, an arch and a dome. Sir Isaac Newton proceeded into ellipses, and such as functions of the Pythagorean sine.

• 

•