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. . . . . . . . . . . . . . . .