Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
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Page v
... relation to that cele- brated ancient work except in the subject matter . The work differs also from the majority of modern treatises on Geometry in several respects . The point , the line , and the curve lying in a common plane are ...
... relation to that cele- brated ancient work except in the subject matter . The work differs also from the majority of modern treatises on Geometry in several respects . The point , the line , and the curve lying in a common plane are ...
Page vi
... relations but also conduces to greater generality . In dealing with proportion the method of measures is employed in preference to that of multiples as being equally accurate , easier of comprehension , and more in vi PREFACE .
... relations but also conduces to greater generality . In dealing with proportion the method of measures is employed in preference to that of multiples as being equally accurate , easier of comprehension , and more in vi PREFACE .
Page vii
... relations . In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry , and short descriptions are given of the more important geometric drawing - instruments , having special reference to the ...
... relations . In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry , and short descriptions are given of the more important geometric drawing - instruments , having special reference to the ...
Page ix
... Relations - Squares and Rect- angles . SECTION V. - 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 ...
... Relations - Squares and Rect- angles . SECTION V. - 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 ...
Page 1
... relation . A theorem may be stated for the purpose of being sub- sequently proved , or it may be deduced from some previous course of reasoning . In the former case it is called a Proposition , that is , some- thing proposed , and ...
... relation . A theorem may be stated for the purpose of being sub- sequently proved , or it may be deduced from some previous course of reasoning . In the former case it is called a Proposition , that is , some- thing proposed , and ...
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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