## New Plane and Solid Geometry |

### From inside the book

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Page 65

... , the parallelogram is equilateral . Ex . 57. Prove that lines drawn from two vertices of a triangle and terminating in the opposite sides cannot bisect each other . BOOK II THE CIRCLE DEFINITIONS 142. A

... , the parallelogram is equilateral . Ex . 57. Prove that lines drawn from two vertices of a triangle and terminating in the opposite sides cannot bisect each other . BOOK II THE CIRCLE DEFINITIONS 142. A

**diameter**of a RECTILINEAR FIGURES ... Page 66

Webster Wells. BOOK II THE CIRCLE DEFINITIONS 142. A

Webster Wells. BOOK II THE CIRCLE DEFINITIONS 142. A

**diameter**of a circle is a straight ine drawn through the centre ...**diameters**are equal , since each is the sum of two radii . 144. Two circles are equal when their radii are ... Page 68

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**diameter**bisects the circle and its circumference . B d the D Given AC ( d ) a**diameter**of O ABCD . To Prove that d bisects the O , and its circumference . Proof . 1. Superpose segment ABC upon segment ADC , by folding it over about d ... Page 72

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**diameter**perpendicular to a chord bisects the chord and its subtended arcs . Draw O ABD with centre at 0 ; draw**diameter**DC ; through point E on OC draw chord AB 1 DC . We then have : Given , in O ABD ,**diameter**CDL chord AB . To Prove ... Page 73

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**diameters**, intersect within a circle , and perpendiculars be drawn from the centre to these chords , the line joining the centre of the circle with the intersection of these chords is a bisector of the angle formed by the ...### Other editions - View all

### Common terms and phrases

ABC and A'B'C adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisector bisects centre chord circle circumference circumscribed coincide construct Converse of Prop diagonals diameter diedral angle distance Draw line equal parts occur equal respectively equally distant equilateral triangle exterior angle faces frustum Given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle LAOB lateral area lateral edges line drawn lines be drawn measured by arc middle point number of sides oblique lines opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism Proof proportional Prove pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle secant segments slant height spherical polygon spherical triangle square straight line surface tangent tetraedron THEOREM trapezoid triedral vertex vertices volume