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 vi
... drawn between figures which are capable of super- position and those which are equal merely in area . The properties of congruence and equality are accord- ingly carefully distinguished . The principle of motion in the transformation of ...
... drawn between figures which are capable of super- position and those which are equal merely in area . The properties of congruence and equality are accord- ingly carefully distinguished . The principle of motion in the transformation of ...
Page vii
... drawing - instruments , having special reference to the geometric principles of their actions . Parts IV . and V. contain a synthetic treatment of the theories of the mean centre , of inverse figures , of pole and polar , of harmonic ...
... drawing - instruments , having special reference to the geometric principles of their actions . Parts IV . and V. contain a synthetic treatment of the theories of the mean centre , of inverse figures , of pole and polar , of harmonic ...
Page 4
... drawn between theorems and corollaries . Ex . From the theorem , " The product of two odd numbers is an odd number , " by making the two numbers equal we obtain as a corollary , " The square of an odd number is an odd number ...
... drawn between theorems and corollaries . Ex . From the theorem , " The product of two odd numbers is an odd number , " by making the two numbers equal we obtain as a corollary , " The square of an odd number is an odd number ...
Page 5
... drawn along the black - board it leaves a visible mark . This mark has breadth and occupies some of the surface upon which it is drawn , and by way of distinction is called a physical line . By continually diminishing the breadth of the ...
... drawn along the black - board it leaves a visible mark . This mark has breadth and occupies some of the surface upon which it is drawn , and by way of distinction is called a physical line . By continually diminishing the breadth of the ...
Page 7
... drawing lines in Practical Geometry . 17 ° . A Plane is a surface such that the line joining any two arbitrary points in it coincides wholly with the surface . The planarity of a surface may be tested by applying the rule to it . If the ...
... drawing lines in Practical Geometry . 17 ° . A Plane is a surface such that the line joining any two arbitrary points in it coincides wholly with the surface . The planarity of a surface may be tested by applying the rule to it . If the ...
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Common terms and phrases
ABCD algebraic altitude apothem bisects c.p.-circles centre of similitude centre-line chord of contact circles touch circumcircle co-axal coincide collinear concurrent concurrent lines concyclic congruent corresponding cut the circle denote diagonals diameter divided end-points equal angles equianharmonic equilateral triangle excircles external bisector fixed point geometric given circles given line given point harmonic range Hence hexagram homographic homologous hypothenuse incircle internal angles inverse points isosceles joins LAOB line-segment locus median middle point nine-points circle opposite sides orthogonally pair parallel parallelogram passes pencil perpendicular perspective plane point of contact point of intersection polar reciprocal Proof quadrangle radical axis radical centre radii radius rectangle rectilinear figure regular polygon rhombus right angle right bisector rotation secant similar Similarly square straight angle symbol tangent tensor theorem Theorem.-The three circles transversal vertex vertices