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Problems and Solutions in Euclidean Geometry
Intended for a second course in Euclidean geometry, this volume is based on classical principles and can be used by students of mathematics as a supplementary text and by mechanical engineers as an aid to developing greater mathematical facility. It features 200 problems of increasing complexity with worked-out solutions, along with hints for additional problems.
Each of the eight chapters covers a different aspect of Euclidean geometry: triangles and polygons; areas, squares and rectangles; circles and tangency; ratio and proportion; loci and transversals; geometry of lines and rays; geometry of the circle; and space geometry. The authors list relevant theorems and corollaries, and they state and prove many important propositions. More than 200 figures illustrate the text.
Each of the eight chapters covers a different aspect of Euclidean geometry: triangles and polygons; areas, squares and rectangles; circles and tangency; ratio and proportion; loci and transversals; geometry of lines and rays; geometry of the circle; and space geometry. The authors list relevant theorems and corollaries, and they state and prove many important propositions. More than 200 figures illustrate the text.
Reprint of a Dover Original, 1968 edition.
advanced mathematics;mechanical engineering;euclidean geometry;triangles and polygons;squares and rectangles;areas squares and rectangles;circles and tangency;harmonic ranges;space geometry;circle of apollonius;math and science;advanced study of mathematics;geometry and topology;mathematics;college level math;ceva and menelaus;coaxal systems;geometric constructions;synthetic proofs;elementary geometrical solutions; Geometry; Euclidean Geometry; Geometry problems; Circles; Ratio and proportion$5.93
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Description
Intended for a second course in Euclidean geometry, this volume is based on classical principles and can be used by students of mathematics as a supplementary text and by mechanical engineers as an aid to developing greater mathematical facility. It features 200 problems of increasing complexity with worked-out solutions, along with hints for additional problems.
Each of the eight chapters covers a different aspect of Euclidean geometry: triangles and polygons; areas, squares and rectangles; circles and tangency; ratio and proportion; loci and transversals; geometry of lines and rays; geometry of the circle; and space geometry. The authors list relevant theorems and corollaries, and they state and prove many important propositions. More than 200 figures illustrate the text.
Each of the eight chapters covers a different aspect of Euclidean geometry: triangles and polygons; areas, squares and rectangles; circles and tangency; ratio and proportion; loci and transversals; geometry of lines and rays; geometry of the circle; and space geometry. The authors list relevant theorems and corollaries, and they state and prove many important propositions. More than 200 figures illustrate the text.
Reprint of a Dover Original, 1968 edition.
advanced mathematics;mechanical engineering;euclidean geometry;triangles and polygons;squares and rectangles;areas squares and rectangles;circles and tangency;harmonic ranges;space geometry;circle of apollonius;math and science;advanced study of mathematics;geometry and topology;mathematics;college level math;ceva and menelaus;coaxal systems;geometric constructions;synthetic proofs;elementary geometrical solutions; Geometry; Euclidean Geometry; Geometry problems; Circles; Ratio and proportion
