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 19
... divided into 90 equal parts called degrees ; each degree is divided into 60 equal parts called minutes ; and each minute into 60 equal parts called seconds . Thus an angle which is one - seventh of a circumangle contains fifty - one ...
... divided into 90 equal parts called degrees ; each degree is divided into 60 equal parts called minutes ; and each minute into 60 equal parts called seconds . Thus an angle which is one - seventh of a circumangle contains fifty - one ...
Page 52
... divided into four congruent As . 13. From any point in a side of an equilateral lines are drawn parallel to the other sides . The perimeter of the so formed is equal to twice a side of the A. 14. Examine Ex . 13 when the point is on a ...
... divided into four congruent As . 13. From any point in a side of an equilateral lines are drawn parallel to the other sides . The perimeter of the so formed is equal to twice a side of the A. 14. Examine Ex . 13 when the point is on a ...
Page 80
... divided into degrees , etc. ( 41 ° ) . The point C is the centre . By placing the straight edge of the instrument in coincidence with a given line AB so that the centre falls at a given point C , we can set off any angle given in ...
... divided into degrees , etc. ( 41 ° ) . The point C is the centre . By placing the straight edge of the instrument in coincidence with a given line AB so that the centre falls at a given point C , we can set off any angle given in ...
Page 91
... divided into any requisite number of parts , and these parts to be afterwards disposed in any convenient order , since the whole area is equal to the sum of all its parts . B A Illustration . - ABCD is a square . 91 -Areal Relations ...
... divided into any requisite number of parts , and these parts to be afterwards disposed in any convenient order , since the whole area is equal to the sum of all its parts . B A Illustration . - ABCD is a square . 91 -Areal Relations ...
Page 103
... divided into 3 equal parts for a new u.l. , the corresponding u.a. is divided into 32 equal parts for a new u.a. And the least consideration will show that this is true for any whole number as well as 3 . .. I. If an assumed u.l. be divided ...
... divided into 3 equal parts for a new u.l. , the corresponding u.a. is divided into 32 equal parts for a new u.a. And the least consideration will show that this is true for any whole number as well as 3 . .. I. If an assumed u.l. be divided ...
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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