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 v
... common plane are taken as the geometric elements of Plane Geometry , and any one of these or any combination of them is defined as a geometric plane figure . Thus a triangle is not the three - cornered portion of the plane inclosed ...
... common plane are taken as the geometric elements of Plane Geometry , and any one of these or any combination of them is defined as a geometric plane figure . Thus a triangle is not the three - cornered portion of the plane inclosed ...
Page 1
... common word , or it may introduce some technical term to be used in a particular sense . Some terms , such as space , straight , direction , etc. , which express elementary ideas cannot be defined . 2o . Def . - A Theorem is the formal ...
... common word , or it may introduce some technical term to be used in a particular sense . Some terms , such as space , straight , direction , etc. , which express elementary ideas cannot be defined . 2o . Def . - A Theorem is the formal ...
Page 6
... common to all the parts of the line , the line is straight . The word " direction " is not in itself definable , and when applied to a line in the absolute it is not intelligible . But every person knows what is meant by such ...
... common to all the parts of the line , the line is straight . The word " direction " is not in itself definable , and when applied to a line in the absolute it is not intelligible . But every person knows what is meant by such ...
Page 7
... common example of a curve is a circle or portion of a circle . Henceforward , the word " line , " unless otherwise qualified , will mean a straight line . 16 ° . The “ rule " or " straight - edge " is a strip of wood , metal , or other ...
... common example of a curve is a circle or portion of a circle . Henceforward , the word " line , " unless otherwise qualified , will mean a straight line . 16 ° . The “ rule " or " straight - edge " is a strip of wood , metal , or other ...
Page 10
... , which , from Cor . 2 , is impossible . Cor . 4. Another statement of Cor . 2 is - Two lines which have two points in common coincide and form virtually but one line . 25 ° . Axiom . — A straight line is ΙΟ SYNTHETIC GEOMETRY .
... , which , from Cor . 2 , is impossible . Cor . 4. Another statement of Cor . 2 is - Two lines which have two points in common coincide and form virtually but one line . 25 ° . Axiom . — A straight line is ΙΟ 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
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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 |