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 10
... externally in the same manner . 24 ° . Axiom . - Through a given point only one line can pass in a given direction . A Let A be the given point , and let the segment AP mark 言 the given direction . Then , of all the lines that can pass ...
... externally in the same manner . 24 ° . Axiom . - Through a given point only one line can pass in a given direction . A Let A be the given point , and let the segment AP mark 言 the given direction . Then , of all the lines that can pass ...
Page 13
... what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the " external point of bisection " ? SECTION II . RELATIONS OF TWO LINES . - ANGLES THE LINE AND POINT . 13.
... what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the " external point of bisection " ? SECTION II . RELATIONS OF TWO LINES . - ANGLES THE LINE AND POINT . 13.
Page 20
... external B * F D A bisector . Let AOC be a given angle ; and let EOF be so drawn that LAOE = LEOC . EF is the internal bisector of the angle AOC . Also , let GOH be so drawn that LCOG = LHOA . HG is the external bisector of the angle ...
... external B * F D A bisector . Let AOC be a given angle ; and let EOF be so drawn that LAOE = LEOC . EF is the internal bisector of the angle AOC . Also , let GOH be so drawn that LCOG = LHOA . HG is the external bisector of the angle ...
Page 21
Nathan Fellowes Dupuis. and the external bisector of AOC is the internal bisector of its supplementary angle , COB ... externally . Thus , if OE is so drawn that the LAOE is double the LEOC , some line OG may also be drawn so that the ...
Nathan Fellowes Dupuis. and the external bisector of AOC is the internal bisector of its supplementary angle , COB ... externally . Thus , if OE is so drawn that the LAOE is double the LEOC , some line OG may also be drawn so that the ...
Page 24
... external angles of the triangle . 3. In relation to the external angle DCB , the angle BCA is the adjacent internal angle , while the angles CAB and ABC are opposite internal angles . 4. Any side of a triangle may be taken as its base ...
... external angles of the triangle . 3. In relation to the external angle DCB , the angle BCA is the adjacent internal angle , while the angles CAB and ABC are opposite internal angles . 4. Any side of a triangle may be taken as its base ...
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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 |