Calculating compound angles, Compound angle calculator, Slope angle options – Festool Kapex KS 120 User Manual

Page 21: Corner angle options, Results, Projection drop arctan slope

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Determining the Slope of Crown Moulding

As was mentioned previously, the slope of a crown

moulding is the compliment of its ”Spring Angle” (the
spring angle is measured relative to the wall, and the slope

is measured relative to the ceiling). The two common

spring/slope angles of crown moulding are 38/52 and

45/45. The reason why these angles are represented by
dual numbers is because the actual angle depends on

which direction the moulding is oriented. For example,

turned one way, the slope is 38 degrees, but turned the
other way, the slope is 52 degrees. Note that the sum of

these two angles is always 90 degrees.

For mouldings that are not the standard 38/52 or 45/45,
you will need to measure the moulding to determine its

slope. This is very similar to measuring the Drop and

Projection of a pyramid, but more care needs to be taken

to ensure the measurements are taken from the correct
locations. Important: The slope of a moulding does not

necessarily coincide with the “points” or “Tails” of the

moulding. The slope is measured from the back-side of
the moulding, regardless how long the tails of the

moulding may extend (see image below).

Calculating Compound Angles

There are two separate equations for calculating a

compound angle. One equation is for calculating the miter

setting of the saw, and the other equation is for calculating
the bevel setting of the saw.

(

)

×

⎟⎟

⎜⎜

=

Slope

e

CornerAngl

Cos

2

Tan

ArcTan

Miter

(

)

×

⎟⎟

⎜⎜

=

Slope

e

CornerAngl

Sin

2

Sin

ArcSin

Bevel

If you don’t know the slope angle, but you know the Drop

and Projection, then use the following to calculate the

slope:

=

Projection

Drop

ArcTan

Slope

The most common error in calculating compound

angles is using the wrong Corner Angle. As a
double-check to your calculations, for nearly all

cases, the Corner Angle should be less than 100°.

The only time the angle should be significantly

larger than 90° is either for a 3-sided box, or a
wall corner with a sharp edge.

Compound Angle Calculator

A compound angle calculator has been built into this Adobe

®

Acrobat

®

PDF file. If you do not have an original electronic

version of this manual, visit the

http://www.festoolusa.com/

website to download a copy.

Slope Angle Options

Drop

Slope

Angle

Projection

Corner Angle Options

Corner Angle

MiterFast
Tool Angle

Results

Miter Setting

Bevel Setting

Note: If you are unsure

about the corner angle
you have entered, check

the calculated “MiterFast

Tool Angle” value. This
number should be no

more than 60 degrees for

sharp corners, but
otherwise, it should

always be less than 45

degrees for most corners.

If it is significantly
greater than 45 degrees,

then you probably have

the wrong “Corner

Angle.”

Supplemental User’s Manual

21

90.0

Calculate

33.9

31.6

52.0

45.0

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