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 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
... 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 supposed to preserve an unvarying distance B A A B from one another . Then , if ...
... 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 supposed to preserve an unvarying distance B A A B from one another . Then , if ...
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 rotates about P as pole . the secant 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 rotates about P as pole . the secant 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 ...
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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
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.
Page 9 - BLACKIE— GREEK AND ENGLISH DIALOGUES FOR USE IN SCHOOLS AND COLLEGES. By JOHN STUART BLACKIE, Professor of Greek in the University of Edinburgh.
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Page 50 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
Page 14 - GRAMMAR : An Attempt to illustrate some of the Differences between Elizabethan and Modern English. By the Rev. EA ABBOTT, DD, Head Master of the City of London School.
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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 |