Geometrical Solutions Derived from Mechanics

 Table of Contents

 Introduction

 Geometrical Solutions Derived from Mechanics.

 Proposition I

 Proposition II

 Proposition III

 Proposition IV

 Proposition V

 Proposition VI

 Proposition VII

 Proposition VIIa

 Proposition VIII

 Proposition IX

 Proposition X

 Proposition XI

 Proposition XII

 Proposition XIII

 Proposition XIV

Proposition VIIa

In the same way it may be perceived that any segment of an ellipsoid cut off by a perpendicular plane, bears the same ratio to a cone having the same base and the same axis, as half of the axis of the ellipsoid + the axis of the opposite segment bears to the axis of the opposite segment. . . . . . . . . . . . . . . .