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These equations are some of the most frequently used on a
typical jobsite.
Pythagoras Theorum
This equation is the root of most construction mathematics. It uses
are virtually unlimited. It is commonly used to square a layout via
the 3 4 5 method, and roof framing would be nothing but guessing without
this equation.
A2+B2= C2
It is also common to see the equation wrote like this:
Hypotenus (C) = SquareRoot(A2 + B2)
Radius Equation
This formula can be used to find the radius of any simple arch.
It is a common occurrance for homes we build to have arched cased openings,
arched windows, or arched ceilings.
Radius = ((1/2S)2+R2)/2R
Octagon side formula
This equation is commonly used to calculate the octagonal sides
of trey ceilings or to find the chamfer length on a cabinet.
H = squrt((1/2R)2+(1/2R)2)
O = R - H
S = squrt(O2+O2)
Angle of Departure
This equation is used to find the departure angle for rafters and
other structures built on an angle. The formula is quite simple but
having a scientific calculator on hand is necessary.
Angle of departure from horizontal = arctan(Rise/Run)
Angle of departure from vertical = arctan(Run/Rise)
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