## New Plane and Solid Geometry |

### From inside the book

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**Trapezoid**Parallelogram An isosceles**trapezoid**is a**trapezoid**whose non - parallel sides are equal . The bases of a**trapezoid**are its parallel sides ; the altitude is the perpendicular distance between them . If either pair of ... Page 52

... upper base of an isosceles

... upper base of an isosceles

**trapezoid**to the lower base , they are equal and cut off equal segments from the extremities of the lower base . Ex . 41. The lines which join the middle points 52 ― PLANE GEOMETRY . -BOOK I. Page 53

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**trapezoid**to the middle points of the non - parallel sides form , with the sides of the**trapezoid**, two pairs of equal triangles . Ex . 42. If lines be drawn from the middle point of the base of an isosceles triangle to the middle ... Page 58

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**trapezoid**, and 1 DD ' bisects its sides CE and C'E ' . Hence , the line which is parallel to the bases of a**trapezoid**and bisects one of the non - parallel sides , bisects the other also . PROP . XLII . THEOREM 131. The line joining ... Page 59

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**trapezoid**is parallel to the bases , and equal to one - half their sum . B C Α E G D Draw .**trapezoid**ABCD , BC and AD being | sides . Let E , F be mid- dle points of AB and CD , respectively . Draw line EF . We then have : Given line ...### 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