Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
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Page ix
... . - Constructive Geometry , PART III . SECTION I. Proportion amongst Line - Segments . SECTION II . - Functions of Angles and their Applications in Geometry , 91 147 PART IV . SECTION 1. - Geometric Extensions . Centre ix.
... . - Constructive Geometry , PART III . SECTION I. Proportion amongst Line - Segments . SECTION II . - Functions of Angles and their Applications in Geometry , 91 147 PART IV . SECTION 1. - Geometric Extensions . Centre ix.
Page 4
... segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9 ° . Space may be defined to be that which admits of length or distance in every direction ; so that length and direction are fundamental ideas in ...
... segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9 ° . Space may be defined to be that which admits of length or distance in every direction ; so that length and direction are fundamental ideas in ...
Page 8
... segment , or simply a segment . That absolute sameness ( 14 ° ) which characterizes every 8 SYNTHETIC GEOMETRY .
... segment , or simply a segment . That absolute sameness ( 14 ° ) which characterizes every 8 SYNTHETIC GEOMETRY .
Page 9
... segment is denoted by naming its end points , as the ' segment AB , " where A and B are the end points . This is a biliteral , or two - letter notation . A segment is also denoted by a single letter , when the limits of its length are ...
... segment is denoted by naming its end points , as the ' segment AB , " where A and B are the end points . This is a biliteral , or two - letter notation . A segment is also denoted by a single letter , when the limits of its length are ...
Page 10
... segment AB in the sense commonly attached to the word divide . But on account of the similar relations held by C and C ' to the end- points of the segment , it is convenient and advantageous to consider both points as dividing the segment ...
... segment AB in the sense commonly attached to the word divide . But on account of the similar relations held by C and C ' to the end- points of the segment , it is convenient and advantageous to consider both points as dividing the segment ...
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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