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 ix
... Parallels . SECTION V. - The Circle . SECTION VI . - Constructive Geometry , PAGE PART II . SECTION I. - Comparison of Areas . SECTION II .-- Measurement of Lengths and Areas . SECTION III . - Geometric Interpretation of Algebraic Forms ...
... Parallels . SECTION V. - The Circle . SECTION VI . - Constructive Geometry , PAGE PART II . SECTION I. - Comparison of Areas . SECTION II .-- Measurement of Lengths and Areas . SECTION III . - Geometric Interpretation of Algebraic Forms ...
Page 4
... Parallel lines never meet . 4. Every point equidistant from the end - points of a line- segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9. Space may be defined to be that which admits of length or ...
... Parallel lines never meet . 4. Every point equidistant from the end - points of a line- segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9. Space may be defined to be that which admits of length or ...
Page 39
... parallel . Next to perpendicularity , parallelism is the most important directional relation . It is denoted by the symbol || , which is to be read " parallel to " or " is parallel to " as occasion may require . The idea of parallelism ...
... parallel . Next to perpendicularity , parallelism is the most important directional relation . It is denoted by the symbol || , which is to be read " parallel to " or " is parallel to " as occasion may require . The idea of parallelism ...
Page 40
... parallel ; and if both length and direction are the same they are equal and parallel . Now when two segments are equal one may be made to coincide with the other by superposition without change of length , whether change of direction is ...
... parallel ; and if both length and direction are the same they are equal and parallel . Now when two segments are equal one may be made to coincide with the other by superposition without change of length , whether change of direction is ...
Page 41
... parallel lines- I. The alternate angles are equal in pairs . 2. The corresponding angles are equal in pairs . 3. The ... PARALLELS , ETC. 41.
... parallel lines- I. The alternate angles are equal in pairs . 2. The corresponding angles are equal in pairs . 3. The ... PARALLELS , ETC. 41.
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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