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. |
From inside the book
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Page 6
... gives a point , called the point of intersection . If the lines are physical , the point is physical and has some size , but when the lines are geometric the point is also geometric . 14 ° . Straight Line . For want of a better ...
... gives a point , called the point of intersection . If the lines are physical , the point is physical and has some size , but when the lines are geometric the point is also geometric . 14 ° . Straight Line . For want of a better ...
Page 8
... give a point or line are commonly said to determine it . A similar nomenclature applies to other geometric ele- ments . The statement that a point or line lies in a plane does not give it , but a point or line placed in the plane for ...
... give a point or line are commonly said to determine it . A similar nomenclature applies to other geometric ele- ments . The statement that a point or line lies in a plane does not give it , but a point or line placed in the plane for ...
Page 11
... give a reasonable proof of this axiom , no amount of proof could make its truth more apparent . The following will illustrate the axiom . Assume any two points on a thread taken as a physical line . By separating these as far as ...
... give a reasonable proof of this axiom , no amount of proof could make its truth more apparent . The following will illustrate the axiom . Assume any two points on a thread taken as a physical line . By separating these as far as ...
Page 13
... point of AB , what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the " external point of bisection " ? SECTION II . RELATIONS OF TWO LINES . - ANGLES THE LINE AND POINT . 13.
... point of AB , what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the " external point of bisection " ? SECTION II . RELATIONS OF TWO LINES . - ANGLES THE LINE AND POINT . 13.
Page 34
... , and an angle opposite one of the equal sides in each equal , the triangles are not necessarily congruent unless some other relation exists between them . The first part of the theorem gives one of the 34 SYNTHETIC GEOMETRY .
... , and an angle opposite one of the equal sides in each equal , the triangles are not necessarily congruent unless some other relation exists between them . The first part of the theorem gives one of the 34 SYNTHETIC GEOMETRY .
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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