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
... square of an odd number is an odd number . " EXERCISES . State the contrapositives and the converses of the follow- ing theorems : - I. The sum of two odd numbers is an even number . 2. A diameter is the longest chord in a circle . 3 ...
... square of an odd number is an odd number . " EXERCISES . State the contrapositives and the converses of the follow- ing theorems : - I. The sum of two odd numbers is an even number . 2. A diameter is the longest chord in a circle . 3 ...
Page 5
... square , ” “ circle , ” etc. 11 ° . That part of mathematics which treats of the properties and relations of plane geometric figures is Plane Geometry . Such is the subject of this work . The plane upon which the figures are supposed to ...
... square , ” “ circle , ” etc. 11 ° . That part of mathematics which treats of the properties and relations of plane geometric figures is Plane Geometry . Such is the subject of this work . The plane upon which the figures are supposed to ...
Page 46
... square , denoted by the symbol ☐ . Cor . 5. Since the square is a particular form of the rhombus and a particular form of the rectangle , Therefore all the sides of a square are equal to one another ; all the angles of a square are ...
... square , denoted by the symbol ☐ . Cor . 5. Since the square is a particular form of the rhombus and a particular form of the rectangle , Therefore all the sides of a square are equal to one another ; all the angles of a square are ...
Page 61
... square , ( b ) a 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 ...
... square , ( b ) a 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 ...
Page 66
... are the vertices of a square , and A , E , F of an equilateral triangle inscribed in the same circle . What is the angle between the lines BE and DF ? between BF and ED ? SPECIAL SECANTS -- TANGENT . 109 ° . Let P 66 SYNTHETIC GEOMETRY .
... are the vertices of a square , and A , E , F of an equilateral triangle inscribed in the same circle . What is the angle between the lines BE and DF ? between BF and ED ? SPECIAL SECANTS -- TANGENT . 109 ° . Let P 66 SYNTHETIC GEOMETRY .
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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
Page 176 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
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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 |