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. |
From inside the book
Results 1-5 of 37
Page 15
... fixed point in the plane is said to rotate about the point . The point about which the rotation takes place is the pole , and any segment of the rotating line , having the pole as an end - point , is a radius vector . Let an ...
... fixed point in the plane is said to rotate about the point . The point about which the rotation takes place is the pole , and any segment of the rotating line , having the pole as an end - point , is a radius vector . Let an ...
Page 53
... point which , moving in the plane , keeps at a constant distance from a fixed point in the plane . The compasses , whatever be their form , furnish us with two points , A and B , which , from the rigidity of the instrument , are ...
... point which , moving in the plane , keeps at a constant distance from a fixed point in the plane . The compasses , whatever be their form , furnish us with two points , A and B , which , from the rigidity of the instrument , are ...
Page 54
... fixed point is the centre of the circle , and the distance between the fixed and moveable points is the radius of the circle . The curve itself , and especially where its length is under consideration , is commonly called the ...
... fixed point is the centre of the circle , and the distance between the fixed and moveable points is the radius of the circle . The curve itself , and especially where its length is under consideration , is commonly called the ...
Page 67
... fixed point on the OS and Q a variable one . The position of the secant L , cut- ting the circle in P and Q , depends upon the position of Q. As Q moves along the the secant rotates about P as pole . While Q makes one complete ...
... fixed point on the OS and Q a variable one . The position of the secant L , cut- ting the circle in P and Q , depends upon the position of Q. As Q moves along the the secant rotates about P as pole . While Q makes one complete ...
Page 71
... fixed , and the tangent at B is variable , we have the following theorem : - The segment of a variable tangent intercepted by two fixed tangents , all to the same circle , subtends a fixed angle at the centre . Ex . 2. If four circles ...
... fixed , and the tangent at B is variable , we have the following theorem : - The segment of a variable tangent intercepted by two fixed tangents , all to the same circle , subtends a fixed angle at the centre . Ex . 2. If four circles ...
Other editions - View all
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