## New Plane and Solid Geometry |

### From inside the book

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**quadrilaterals**, do not draw them with two sides equal or par- allel , unless the exercise calls for such a construction . 3. Write down carefully what is given , and what is to be proved . 4. Look up all previous theorems which may ... Page 46

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**quadrilateral**is a portion of a plane bounded by four straight lines ; as ABCD . The bounding lines are called the sides of the**quadrilateral**, and their points of intersection the vertices . The angles of the**quadrilateral**are the ... Page 47

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**quadrilateral**no two of whose sides are parallel . A Trapezoid is a**quadrilateral**two , and only two , of whose sides are parallel . A Parallelogram is a**quadrilateral**whose opposite sides are parallel . Trapezium Trapezoid ... Page 49

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**quadrilateral**are equal , the figure is a parallelogram . A α B d プ Draw**quadrilateral**ABCD having side BC = AD , and side AB = DC . We then have : Given , in**quadrilateral**ABCD , AB = CD and BC = AD . To Prove ABCD a . Proof . 1. Draw ... Page 50

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**quadrilateral**ABCD , BC equal and I to AD . To Prove ABCD a □ . ( Prove △ ABC and ACD equal by § 46 ; then , AB ...**quadrilateral**bisect each other , the figure is a parallelogram . Given AC and BD , the diagonals of ...### 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