Revolution of Elliptic Arcs

Elliptic Arc revolved about Major Axis
Calculator Entries:
Angle of Revolution = 360°
Radius of Revolution = zero
Width on x-axis = 10
Height on y-axis = 20
Eccentric Angle ... f1 = 270°
Eccentric Angle ... f2 = 450°
Surface of Revolution = 536.96088
Entering the angles as:
Eccentric Angle ... f1 = zero
Eccentric Angle ... f2 = 90°
returns the Surface of Revolution for the
upper half of the ellipsoid = 268.48044

Elliptic Arc revolved about Minor Axis
Calculator Entries:
Angle of Revolution = 360°
Radius of Revolution = zero
Width on x-axis = 20
Height on y-axis = 10
Eccentric Angle ... f1 = 270°
Eccentric Angle ... f2 = 450°
Surface of Revolution = 867.18827
Entering the angles as:
Eccentric Angle ... f1 = zero
Eccentric Angle ... f2 = 90°
returns the Surface of Revolution for the
upper half of the ellipsoid = 433.59414

Revolved Circular Arcs
Calculator Entries:
Angle of Revolution = 360°
Radius of Revolution = zero
Width on x-axis = 16
Height on y-axis = 16
Eccentric Angle ... f1 = 41.40962°
Eccentric Angle ... f2 = 90°
Surface of Revolution = 136.14394

Calculator Entries:
Angle of Revolution = 360°
Radius of Revolution = zero
Width on x-axis = 16
Height on y-axis = 16
Eccentric Angle ... f1 = zero
Eccentric Angle ... f2 = 41.40962°
Surface of Revolution = 265.97992

Surface Area of Hemisphere
Calculator Entries:
Angle of Revolution = 360°
Radius of Revolution = zero
Width on x-axis = 16
Height on y-axis = 16
Eccentric Angle ... f1 = zero
Eccentric Angle ... f2 = 90°
Surface of Revolution = 402.12386
136.14394 + 265.97992 = 402.12386
2πr ² = 402.12386

Joe Bartok