Hyperbolic Surface of Revolution

Plan View

Angle of Revolution =

Section View
(x/a) ² – (y/b) ² = – 1
x = a sinh t         y = b cosh t

Width 2a on x-axis =
Height 2b on y-axis =
x1 =
x2 =
0 £ x1 < x2

Arc Lengths and Areas
Simpson's Rule ... n = 1024

y1 =
y2 =
Parameter ... t1 =
Parameter ... t2 =
Section Arc Length =
Moment of Arc ... Sy-y =
Centroid of Arc =
Surface of Revolution =

Estimating Hyperbolic Arc Lengths and Surfaces of Revolution

Surface of Revolution generated by Hyperbolic Arc
Graph of Rectangular Hyperbola
Centroid of Hyperbolic Arc

Joe Bartok 1