Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
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Page vi
... 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 geometric figures , as recommended by Dr ...
... 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 geometric figures , as recommended by Dr ...
Page x
... Position . linearity and Concurrence . SECTION II.— SECTION III . — Col- SECTION IV - Inver- sion and Inverse Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or ...
... Position . linearity and Concurrence . SECTION II.— SECTION III . — Col- SECTION IV - Inver- sion and Inverse Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or ...
Page 6
... position , but has no size . The intersection of one line by another gives a point , called the point of intersection . If the lines are physical , the point is physical and has some size , but when the lines are geometric the point is ...
... position , but has no size . The intersection of one line by another gives a point , called the point of intersection . If the lines are physical , the point is physical and has some size , but when the lines are geometric the point is ...
Page 7
... position and direction in which it can be applied , the surface is a plane . The most accurately plane artificial surface known is probably that of a well - formed plane mirror . Examina- tion of the images of objects as seen in such ...
... position and direction in which it can be applied , the surface is a plane . The most accurately plane artificial surface known is probably that of a well - formed plane mirror . Examina- tion of the images of objects as seen in such ...
Page 9
... position in the line . ( 2 ) A line cannot return into , or cross itself . ( 3 ) A line is not necessarily limited in length , and hence , in imagination , we may follow a line as far as we please without coming to any necessary ...
... position in the line . ( 2 ) A line cannot return into , or cross itself . ( 3 ) A line is not necessarily limited in length , and hence , in imagination , we may follow a line as far as we please without coming to any necessary ...
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Common terms and phrases
ABCD Algebra altitude becomes bisects c.p.-circles centre of similitude chord of contact circles touch circumcircle co-axal coincide collinear concurrent concurrent lines concyclic congruent cut the circle denote diagonals diameter divided double points 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