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 4
... 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 distance in every direction ; so that length and direction are fundamental ideas in studying ...
... 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 distance in every direction ; so that length and direction are fundamental ideas in studying ...
Page 8
... segment , or simply a segment . That absolute sameness ( 14 ° ) which characterizes every 8 SYNTHETIC GEOMETRY .
... segment , or simply a segment . That absolute sameness ( 14 ° ) which characterizes every 8 SYNTHETIC GEOMETRY .
Page 9
... segment is denoted by naming its end points , as the segment AB , " where A and B are the end points . This is a biliteral , or two - letter notation . A segment is also denoted by a single letter , when the limits of its length are ...
... segment is denoted by naming its end points , as the segment AB , " where A and B are the end points . This is a biliteral , or two - letter notation . A segment is also denoted by a single letter , when the limits of its length are ...
Page 10
... segment AB in the sense commonly attached to the word divide . But on account of the similar relations held by C and C ' to the end- points of the segment , it is convenient and advantageous to consider both points as dividing the segment ...
... segment AB in the sense commonly attached to the word divide . But on account of the similar relations held by C and C ' to the end- points of the segment , it is convenient and advantageous to consider both points as dividing the segment ...
Page 11
... segment which connects them or has them as end - points . 26 ° . Superposition . - Comparison of Figures . - We ... segments can be compared with respect to length only . Hence a line is called a magnitude of one dimension . Two segments ...
... segment which connects them or has them as end - points . 26 ° . Superposition . - Comparison of Figures . - We ... segments can be compared with respect to length only . Hence a line is called a magnitude of one dimension . Two segments ...
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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