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Here are some theorems concerning Analysis and some theorems concerning ruled surfaces: surfaces generated by straight lines or rulings and have been studied for centuries by geometers such as the Jesuits Roger Boscovich and Andre Tacquet as well as by their famous students such as Gaspar Monge and Phillippe de Lahire.

Some geometry, theorems and course syllabi

Geometry

Six types of Ruled Surfaces
Half Twist Ruled Surfaces
p/q Twist Ruled Surfaces
Saddle (hypar) Surfaces
Geometry of Bridge construction
The Seven Wonders of the Ancient World
The 13 Archimedian semiregular polyhedra

Theorems

The Mathematician's Quest for Superlatives . . .from geometrical and caculus considerations
The Mathematician's Quest for Superlatives . . .using caculus of variations
Certain Periodic Polar Curves
Monge's Twist-surface Theorems
Hyperpower Function _xx^{x . . .}
Theorems of Girolamo Sacceri, S.J. and his hyperbolic geometry
Saccheri's Solution to Euclid's BLEMISH

Course syllabi

Analysis III
Ordinary differential Equations

Double helicoid in a cylinder	Focal lines in a cylinder

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This page is part of the Joseph MacDonnell, S.J. HomePage with 13 parts, each with its own icon taken from the family of the 13 Archimedean semiregular polyhedra.

Contact Information and Table of Contents for This Site
Dolan School of Business Fairfield University Fairfield, CT 06430		email: Winston Tellis Voice mail - 203 254-4000x 2845 FAX 203-254-4105

These 13 polyhedra symbolize the 13 items of this page which is maintained by Winston Tellis They are the 13 Archimedean semiregular polyhedra.

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