Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
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Page iii
Nathan Fellowes Dupuis. 0 SYNTHETIC GEOMETRY OF THE POINT , LINE AND CIRCLE IN THE PLANE BY N. F. DUPUIS , M.A. , F.R.S.C. PROFESSOR OF PURE MATHEMATICS IN THE UNIVERSITY OF QUEEN'S COLLEGE , KINGSTON , CANADA . New York THE MACMILLAN ...
Nathan Fellowes Dupuis. 0 SYNTHETIC GEOMETRY OF THE POINT , LINE AND CIRCLE IN THE PLANE BY N. F. DUPUIS , M.A. , F.R.S.C. PROFESSOR OF PURE MATHEMATICS IN THE UNIVERSITY OF QUEEN'S COLLEGE , KINGSTON , CANADA . New York THE MACMILLAN ...
Page v
... Geometry in several respects . The point , the line , and the curve lying in a common plane are taken as the geometric elements of Plane Geometry , and any one of these or any combination of them is defined as a geometric plane figure ...
... Geometry in several respects . The point , the line , and the curve lying in a common plane are taken as the geometric elements of Plane Geometry , and any one of these or any combination of them is defined as a geometric plane figure ...
Page vi
... Geometry with Algebraic forms and symbols , ( 1 ) by an elementary study of the modes of representing geometric ideas in the symbols of Algebra , and ( 2 ) by determining the consequent geometric interpretation which is to be given to ...
... Geometry with Algebraic forms and symbols , ( 1 ) by an elementary study of the modes of representing geometric ideas in the symbols of Algebra , and ( 2 ) by determining the consequent geometric interpretation which is to be given to ...
Page vii
... geometric relations . In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry , and short descriptions are given of the more important geometric drawing - instruments , having special reference to the ...
... geometric relations . In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry , and short descriptions are given of the more important geometric drawing - instruments , having special reference to the ...
Page viii
... geometric knowledge which may enable him to take up most successfully the modern works on Analytical Geometry . QUEEN'S COLLege , KINGSTON , CANADA . N. F. D. CONTENTS . PART I. SECTION I. - The Line and viii PREFACE .
... geometric knowledge which may enable him to take up most successfully the modern works on Analytical Geometry . QUEEN'S COLLege , KINGSTON , CANADA . N. F. D. CONTENTS . PART I. SECTION I. - The Line and viii PREFACE .
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Common terms and phrases
ABCD Algebra altitude becomes bisects c.p.-circles centre of similitude chord of contact circles touch circumcircle co-axal coincide collinear concurrent concurrent lines concyclic congruent cut the circle denote diagonals diameter divided double points end-points equal angles equianharmonic equilateral triangle excircles external bisector fixed point geometric given circles given line given point harmonic range Hence hexagram homographic homologous hypothenuse incircle internal angles inverse points isosceles joins LAOB line-segment locus median middle point nine-points circle opposite sides orthogonally pair parallel parallelogram passes pencil perpendicular perspective plane point of contact point of intersection polar reciprocal Proof quadrangle radical axis radical centre radii radius rectangle rectilinear figure regular polygon rhombus right angle right bisector rotation secant similar Similarly square straight angle symbol tangent tensor theorem Theorem.-The three circles transversal vertex vertices