Solid Geometry with Problems and Applications

In re-writing the Solid Geometry the authors have consistently carriedout the distinctive features described in the preface of the PlaneGeometry. Mention is here made only of certain matters which areparticularly emphasized in the Solid Geometry.Owing to the greater maturity of the pupils it has been possibleto make the logical structure of the Solid Geometry more prominentthan in the Plane Geometry. The axioms are stated and applied atthe precise points where they are to be used. Theorems are no longerquoted in the proofs but are only referred to by paragraph numbers;while with increasing frequency the student is left to his own devicesin supplying the reasons and even in filling in the logical steps of theargument. For convenience of reference the axioms and theorems ofplane geometry which are used in the Solid Geometry are collected inthe Introduction.