Elliptical Barrel intersects Elliptical Cone
Arc Length Calculator
Cone Height ... z =
Cone Base Axis 2A ... x =
Cone Base Axis 2B ... y =
Barrel Axis 2a ... x =
Barrel Axis 2b ... z =
Working Point on x-axis =

Barrel Data

Section Plane Height ... z =
Barrel Slope at (x, z) =
Radius Vector ... r =
Radius Vector Angle ... θ =
Barrel Eccentric Angle ... φ =
Barrel Arc Length =

Plan View Footprint
Section through Cone

y =
on x-axis ... 2α =
on y-axis ... 2β =
Slope at (x, y) =
Slope Angle at (x, y) =
Radius Vector ... R =
Radius Vector Angle ... Θ =
Plan View Arc Length =
Tangent to Ellipse =
Angle to Ellipse =

Side Elevation Trace
Rectangular Hyperbola

Side View Arc Length =
Slope at (y, z) =
a =
b =
offset on z-axis ... k =
Barrel φ at k =
Barrel x at k =

Line on the Nappe

Hip Length ... (x, y, z) =
Hip Slope =
Hip Slope Angle =

Normal to the Nappe
Common Slope Angle

x =
y =
z =
Normal slope w.r.t z-axis =
Common Slope Angle =

Standard Rafter Angles

Footprint (Plan) =
Nappe (Sheathing) =
Backing Bevel =

Curved Trough Data

Arc Length to W.P. =
Dihedral Angle at W.P. =
Elliptical Barrel intersects Elliptical Cone Formulas
Elliptical Barrel intersects Elliptical Cone ... formulas of traces in plan and side view
Rectangular Hyperbola ... side elevation trace of intersecting Elliptical Barrels
Joe Bartok