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 7
... coincides wholly with the surface . The planarity of a surface may be tested by applying the rule to it . If the rule touches the surface at some points and not at others the surface is not a plane . But if the rule touches the surface ...
... coincides wholly with the surface . The planarity of a surface may be tested by applying the rule to it . If the rule touches the surface at some points and not at others the surface is not a plane . But if the rule touches the surface ...
Page 10
... coincide with AP so as to form with it virtually but one line . Cor . 1. A finite point and a direction determine one line . Cor . 2. Two given finite points determine one line . For , if A and P be the points , the direction AP is ...
... coincide with AP so as to form with it virtually but one line . Cor . 1. A finite point and a direction determine one line . Cor . 2. Two given finite points determine one line . For , if A and P be the points , the direction AP is ...
Page 11
... coincide with the latter in every part , the two figures are necessarily and identically equal , and become virtually one figure by the superposition . 27 ° . Two line - segments can be compared with respect to length only . Hence a ...
... coincide with the latter in every part , the two figures are necessarily and identically equal , and become virtually one figure by the superposition . 27 ° . Two line - segments can be compared with respect to length only . Hence a ...
Page 12
Nathan Fellowes Dupuis. made to coincide with the end - points of the other by super- position . 28 ° . Def . — The sum of two segments is that segment which is equal to the two when placed in line with one end - point in each coincident ...
Nathan Fellowes Dupuis. made to coincide with the end - points of the other by super- position . 28 ° . Def . — The sum of two segments is that segment which is equal to the two when placed in line with one end - point in each coincident ...
Page 16
... coincide in direction respec- tively with the arms of the other ; or when the angles are described by the same rotation . Л B B ' -A ' Thus , if , when O is placed upon O , and O'A ' is made to lie along OA , O'B ' can also be made to ...
... coincide in direction respec- tively with the arms of the other ; or when the angles are described by the same rotation . Л B B ' -A ' Thus , if , when O is placed upon O , and O'A ' is made to lie along OA , O'B ' can also be made to ...
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Common terms and phrases
A. W. VERRALL ABCD algebraic altitude Assistant Master bisects BOOK Cambridge centre of similitude centre-line circles touch circumcircle co-axal coincide collinear common concurrent concurrent lines concyclic congruent cuts denote diagonals diameter divided Edited ELEMENTARY end-points equal angles equianharmonic equilateral triangle excircles EXERCISES external bisector FASNACHT Fcap fixed point G. E. FASNACHT geometric given circles given line given point GREEK harmonic range Hence HISTORY homographic Illustrated inverse points ISAAC TODHUNTER isosceles LAOB line-segment LL.D Mathematical median middle point orthogonally Owens College pair parallel parallelogram passes pencil perpendicular plane point of contact point of intersection Prof Professor Proof quadrangle radical axis radius rectangle regular polygon respect revised right angle right bisector rotation School secant Similarly square straight angle symbol tangent theorem Theorem.-The three circles Translated Trinity College vertex vertices
Popular passages
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References to this book
The Classification of Quadrilaterals: A Study of Definition Zalman Usiskin,Jennifer Griffin,David Witonsky,Edwin Willmore No preview available - 2008 |
The Classification of Quadrilaterals: A Study of Definition Zalman Usiskin,Jennifer Griffin,David Witonsky,Edwin Willmore No preview available - 2008 |