Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 σελίδες Elementary 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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... 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 ...
... 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 .
... 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 , 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 ...
... - 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 .
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