Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneElementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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Page vii
... mean centre , of inverse 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 ...
... mean centre , of inverse 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 ...
Page x
... Mean Position . SECTION III . — Col- linearity and Concurrence . SECTION IV . — Inver- sion and Inverse Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis .. SEC- TION VII . - Centres and Axes of Perspective or ...
... Mean Position . SECTION III . — Col- linearity and Concurrence . SECTION IV . — Inver- sion and Inverse Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis .. SEC- TION VII . - Centres and Axes of Perspective or ...
Page 7
... mean a straight line . 16 ° . The " rule " or " straight - edge " is a strip of wood , metal , or other solid with one edge made straight . Its common use is to guide the pen or pencil in drawing lines in Practical Geometry . 17 ° . A ...
... mean a straight line . 16 ° . The " rule " or " straight - edge " is a strip of wood , metal , or other solid with one edge made straight . Its common use is to guide the pen or pencil in drawing lines in Practical Geometry . 17 ° . A ...
Page 14
... also , there is no community in kind between an angle and a line - segment or a line . Hence , also , an angle cannot be measured by means of line - segments or lines . 32 ° . Def . - A line which changes 14 SYNTHETIC GEOMETRY .
... also , there is no community in kind between an angle and a line - segment or a line . Hence , also , an angle cannot be measured by means of line - segments or lines . 32 ° . Def . - A line which changes 14 SYNTHETIC GEOMETRY .
Page 15
... means the amount of turning effected , and not the process of turning . Def . 2. - For convenience the lines OP and OP ' , which , by their difference in direction form the angle , are called the arms of the angle , and the point O ...
... means the amount of turning effected , and not the process of turning . Def . 2. - For convenience the lines OP and OP ' , which , by their difference in direction form the angle , are called the arms of the angle , and the point O ...
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Common terms and phrases
ABCD algebraic altitude apothem bisects c.p.-circles centre of similitude centre-line chord of contact circles touch circumcircle co-axal coincide collinear concurrent concurrent lines concyclic congruent corresponding cut the circle denote diagonals diameter divided 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