Advanced Euclidean Geometry

Formanyyears,thiselementarytreatiseonadvancedEuclideangeometryhasbeenthestandardtextbookinthisareaofclassicalmathematics;nootherbookhascoveredthesubjectquiteaswell.Itexploresthegeometryofthetriangleandthecircle,concentratingonextensionsofEuclideantheory,andexaminingindetailmanyrelativelyrecenttheorems.Severalhundredtheoremsandcorollariesareformulatedandprovedcompletely;numerousothersremainunproved,tobeusedbystudentsasexercises.
Theauthormakesliberaluseofcircularinversion,thetheoryofpoleandpolar,andmanyothermodernandpowerfulgeometricaltoolsthroughoutthebook.Inparticular,themethodof"directedangles"offersnotonlyapowerfulmethodofproofbutalsofurnishestheshortestandmostelegantformofstatementforseveralcommontheorems.Thisaccessibletextrequiresnomoreextensivepreparationthanhighschoolgeometryandtrigonometry.