Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 sider 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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... therefore the sum of each pair is a straight angle ( 36 ° ) . q.e.d. Cor . 1. The angle between the opposite directions of a line is a straight angle . B Cor . 2. If a radius vector be rotated until RELATIONS OF TWO LINES . - ANGLES . 17.
... pairs of opposite or vertical angles , viz . , A , A ' , and B , B ' , A being opposite A ' , and B being opposite B ' . 40 ° . Theorem . - The opposite angles of a pair formed by two intersecting lines are equal to one another . Proof ...
... pairs . But if any one of these is a right angle , all four are right angles . Perpendicularity is the most important directional relation in the applications of Geometry . Def . 4. — An acute angle is less than a right angle , and an ...
... pairs of corresponding angles . c and ƒ , e and d are pairs of alternate angles . c and e , d and fare pairs of ... pair of interadjacent angles is a straight angle . AB is || to CD and EF is a transversal . A J. LAEF = LEFD . Proof ...
... pairs . 3. LAEF + LCFE = L . Proof.- and LAEF = LEFD , LCFE + LEFD = 1 ; LAEF + 4CFE = 1 . ( 74 ° , 1 ) ( 38 ° ) q.e.d. Cor . It is seen from the theorem that the equality of a pair of alternate angles determines the equality in pairs ...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1894 |
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1894 |
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1896 |
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