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
Results 1-5 of 55
Page 46
... rectangle , and is denoted by the symbol . Cor . 3. Since the opposite angle is a and the adjacent angle is a Therefore a rectangle has all its angles right angles . ( 81 ° , 2 ) ( 74 ° , 3 ) Cor . 4. The diagonals of a rectangle are ...
... rectangle , and is denoted by the symbol . Cor . 3. Since the opposite angle is a and the adjacent angle is a Therefore a rectangle has all its angles right angles . ( 81 ° , 2 ) ( 74 ° , 3 ) Cor . 4. The diagonals of a rectangle are ...
Page 60
... to a circle from a point without it . 6. The vertices of a rectangle are concyclic . 7. If equal chords intersect , the segments of one between the point of intersection and the circle are respectively equal to 60 SYNTHETIC GEOMETRY .
... to a circle from a point without it . 6. The vertices of a rectangle are concyclic . 7. If equal chords intersect , the segments of one between the point of intersection and the circle are respectively equal to 60 SYNTHETIC GEOMETRY .
Page 61
... rectangle , ( c ) an isosceles triangle , ( d ) an equilateral triangle ? Give all the axes where there are more than one . 12. When a rectilinear figure has more than one axis of symmetry , what relation in direction do they hold to ...
... rectangle , ( c ) an isosceles triangle , ( d ) an equilateral triangle ? Give all the axes where there are more than one . 12. When a rectilinear figure has more than one axis of symmetry , what relation in direction do they hold to ...
Page 89
... rectangle , and also a square . 3. To place a given line - segment between two given lines so as to be parallel to a given line . 4. On a given line to find a point such that the lines joining it to two given points may make equal ...
... rectangle , and also a square . 3. To place a given line - segment between two given lines so as to be parallel to a given line . 4. On a given line to find a point such that the lines joining it to two given points may make equal ...
Page 92
... - sponding altitudes . ( 87 ° ) In the rectangle ( 82 ° , Def . 2 ) two adjacent sides being perpendicular to one another , either one may be taken as the base and the adjacent one as the altitude . The 92 SYNTHETIC GEOMETRY .
... - sponding altitudes . ( 87 ° ) In the rectangle ( 82 ° , Def . 2 ) two adjacent sides being perpendicular to one another , either one may be taken as the base and the adjacent one as the altitude . The 92 SYNTHETIC GEOMETRY .
Other editions - View all
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