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
... lines never meet . 4. Every point equidistant from the end - points of a line- segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9 ° . Space may be defined to be that which admits of length or distance ...
... lines never meet . 4. Every point equidistant from the end - points of a line- segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9 ° . Space may be defined to be that which admits of length or distance ...
Page 8
... line , the curve , the plane and the curved surface are the elements which go to make up geo- metric figures . Where a single plane is the only surface concerned , the point and line ... segment , or simply a segment . That absolute sameness ...
... line , the curve , the plane and the curved surface are the elements which go to make up geo- metric figures . Where a single plane is the only surface concerned , the point and line ... segment , or simply a segment . That absolute sameness ...
Page 9
... line leads directly to the following conclusions : - ( 1 ) No distinction can be made between any two segments of the same line ... segment is denoted by naming its end points , as the segment AB , " where A and B are the end points . This is ...
... line leads directly to the following conclusions : - ( 1 ) No distinction can be made between any two segments of the same line ... segment is denoted by naming its end points , as the segment AB , " where A and B are the end points . This is ...
Page 10
... segment AB C B into two parts whereof one shall be twice as long as the ... line through A and B we may place C ' so as to be twice as far from A as ... line can pass in a given direction . A P Let A be the given point , and let the ...
... segment AB C B into two parts whereof one shall be twice as long as the ... line through A and B we may place C ' so as to be twice as far from A as ... line can pass in a given direction . A P Let A be the given point , and let the ...
Page 11
... line of equal length . Or , a less length of line will reach from one given point to another when the line is straight than when it is curved . Def . The distance between two points is the length of the segment which connects them or ...
... line of equal length . Or , a less length of line will reach from one given point to another when the line is straight than when it is curved . Def . The distance between two points is the length of the segment which connects them or ...
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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
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 |