Timber framers are familiar with geometric methods of
determining angles in a complex roof. Trigonometry has a place in programming worksheets
and calculators for quick solutions to any desired degree of accuracy.
Although somewhat more abstract than the above two mathematical tools, the vectors and
matrices of linear algebra will also solve angles. Applied properly,
these techniques will solve problems which deviate from the Pitch / Pitch / Deck Angle
norm, and are often otherwise intractable.
More information on linear algebraic solutions to joinery problems may be found by linking to
, and opening Alternate Convergent Joint Solution or Compound Joinery Essay.
links to the Excel worksheet Working Point Co-ordinates, which will calculate the initial and terminal points of vectors in a Standard kernel.
The script for the
Framing and Joinery Angle Calculator
to solve joinery angle values.
Click on the following links to open the
Vector Products Calculator
, or to learn how to use the
determinants of matrices
to solve cross products.