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 45
... parallelogram , and is usually denoted by the symbol J. 81 ° . Theorem . - In any parallelogram— 1. The opposite sides are equal to one another . 2. The opposite internal angles are equal to one another . 3. The diagonals bisect one ...
... parallelogram , and is usually denoted by the symbol J. 81 ° . Theorem . - In any parallelogram— 1. The opposite sides are equal to one another . 2. The opposite internal angles are equal to one another . 3. The diagonals bisect one ...
Page 46
... parallelogram which has one right angle is a rectangle , and is denoted by the symbol . Cor . 3. Since the opposite angle is a and the adjacent angle is a Therefore a rectangle has all its angles right angles . ( 81 ° , 2 ) ( 74 ° , 3 ) ...
... parallelogram which has one right angle is a rectangle , and is denoted by the symbol . Cor . 3. Since the opposite angle is a and the adjacent angle is a Therefore a rectangle has all its angles right angles . ( 81 ° , 2 ) ( 74 ° , 3 ) ...
Page 90
... parallelogram when the diagonals and one side are given . 18. Through a given point to draw a secant so that the chord intercepted by a given circle may have a given length . 19. Draw a line to touch a given circle and be parallel to a ...
... parallelogram when the diagonals and one side are given . 18. Through a given point to draw a secant so that the chord intercepted by a given circle may have a given length . 19. Draw a line to touch a given circle and be parallel to a ...
Page 93
... parallelogram . Rectangles and parallelograms are commonly indicated by naming a pair of their opposite vertices . SECTION I. COMPARISON OF AREAS - RECTANGLES , PARALLELOGRAMS , TRIANGLES . 139 ° . Theorem . - 1 . Rectangles with equal ...
... parallelogram . Rectangles and parallelograms are commonly indicated by naming a pair of their opposite vertices . SECTION I. COMPARISON OF AREAS - RECTANGLES , PARALLELOGRAMS , TRIANGLES . 139 ° . Theorem . - 1 . Rectangles with equal ...
Page 94
... parallelogram is equal to the rectangle Con its base and altitude . E B F D AC is a and DF is the altitude . whereof ... Parallelograms with equal bases and equal altitudes are equal . For they are equal to the same rectangle . Cor . 2 ...
... parallelogram is equal to the rectangle Con its base and altitude . E B F D AC is a and DF is the altitude . whereof ... Parallelograms with equal bases and equal altitudes are equal . For they are equal to the same rectangle . Cor . 2 ...
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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
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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 |