Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
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Page v
... , but the combination of the three points and three lines forming what are usually termed its vertices and its sides and sides produced . This mode of considering geometric figures leads naturally to the idea of a figure as a locus V.
... , but the combination of the three points and three lines forming what are usually termed its vertices and its sides and sides produced . This mode of considering geometric figures leads naturally to the idea of a figure as a locus V.
Page vi
Nathan Fellowes Dupuis. naturally to the idea of a figure as a locus , and con- sequently prepares the way for the study of Cartesian Geometry . It requires , however , that a careful distinction be drawn between figures which are ...
Nathan Fellowes Dupuis. naturally to the idea of a figure as a locus , and con- sequently prepares the way for the study of Cartesian Geometry . It requires , however , that a careful distinction be drawn between figures which are ...
Page vii
... figures , of pole and polar , of harmonic division , etc. , as applied to the line and circle ; and it is believed that a student who becomes acquainted with these geometric extensions in this their simpler form will be greatly assisted ...
... figures , of pole and polar , of harmonic division , etc. , as applied to the line and circle ; and it is believed that a student who becomes acquainted with these geometric extensions in this their simpler form will be greatly assisted ...
Page x
... Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or Similitude , PART V. SECTION I. — Anharmonic Division . SECTION II.— Harmonic Ratio . SECTION III ...
... Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or Similitude , PART V. SECTION I. — Anharmonic Division . SECTION II.— Harmonic Ratio . SECTION III ...
Page 5
... Figures , because these figures lie in or on a plane . Some such figures are known to every person under such names as " triangle , " " square , " ' circle , " etc. 29 66 11 ° . That part of mathematics which treats of the properties ...
... Figures , because these figures lie in or on a plane . Some such figures are known to every person under such names as " triangle , " " square , " ' circle , " etc. 29 66 11 ° . That part of mathematics which treats of the properties ...
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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