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 4
... ( 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 ...
... ( 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 ...
Page 26
... 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 . 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 ...
Page 35
... 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 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 ...
Page 36
... 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 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 ...
Page 41
... 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 ...
... 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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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 radii 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
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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 |