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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... ( corresponds to or is opposite ) Y , therefore Y is ( corresponds to or is opposite ) X. 8 ° . A Corollary is a theorem deduced from some other theorem , usually by some qualification or restriction , and occasionally by some ...
... corresponding parts in the other . 53 ° . Theorem . - Every point upon the right bisector of a segment is equidistant from the end - points of the segment . AB is a line - segment , and P is any point on its right bisector PC . Then PA ...
... corresponding parts in the other . But in order to establish the congruence of two triangles it is not necessary to establish independently the respective equality of all the parts ; for , as has now been shown , if certain of the ...
... corresponding angle in the other . This is known as the ambiguous case in the solution of triangles . A study of the preceding table shows that a triangle is completely given when any three of its six parts are given , with two ...
... corresponding angles . c and ƒ , e and d are pairs of alternate angles . c and e , d and fare pairs of interadjacent angles . 74 ° . When a transversal crosses parallel lines— 1. The alternate angles are equal in pairs . 2. The ...
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