Elementary Synthetic Geometry of the Point, Line and Circle in the Plane |
From inside the book
Results 1-5 of 89
Page vii
... given of the more important geometric drawing - instruments , having special reference to the geometric principles of their actions . Parts IV . and V. contain a synthetic treatment of the theories of the mean centre , of inverse ...
... given of the more important geometric drawing - instruments , having special reference to the geometric principles of their actions . Parts IV . and V. contain a synthetic treatment of the theories of the mean centre , of inverse ...
Page 8
... Given Point and Line . A point or line is said to be given when we are made to know enough about it to enable us to distinguish it from every other point or line ; and the data which give a point or line are commonly said to determine ...
... Given Point and Line . A point or line is said to be given when we are made to know enough about it to enable us to distinguish it from every other point or line ; and the data which give a point or line are commonly said to determine ...
Page 10
... line through A and B we may place C ' so as to be twice as far from A as from B. So that we have two points , C and ... given point only one line can pass in a given direction . Let A be the given point , and let the segment AP mark the ...
... line through A and B we may place C ' so as to be twice as far from A as from B. So that we have two points , C and ... given point only one line can pass in a given direction . Let A be the given point , and let the segment AP mark the ...
Page 11
... line has its end - points further apart than a curved line of equal length . Or , a less length of line will reach from one given point to another when the line is straight than when it is curved . Def . — The distance between two ...
... line has its end - points further apart than a curved line of equal length . Or , a less length of line will reach from one given point to another when the line is straight than when it is curved . Def . — The distance between two ...
Page 13
... line . 3. A given line - segment has but one middle point . 4. In Art . 23 ° , if C becomes the middle point of AB , what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the ...
... line . 3. A given line - segment has but one middle point . 4. In Art . 23 ° , if C becomes the middle point of AB , what becomes of C ' ? 5. In Art . 30 ° the internal point of bisection is spoken of . What meaning can you give to the ...
Other editions - View all
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