## Elementary and Constructional GeometryLongmans, Green, and Company, 1898 - 138 pages |

### From inside the book

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**trapezoid**. 3d . A quadrilateral whose opposite sides are parallel . What is this figure called ? 282. If one line crosses two others , what angles must be alike to make the lines parallel ? Is there more than one pair of angles whose ... Page 56

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**trapezoid**with two sides alike ? with three sides alike ? with two angles alike ? with three angles alike ? D from A = 70 ° , 287. Draw a**trapezoid**, A B C D , making A B and C D antiparallel . It is possible to fix the value of the ... Page 67

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**trapezoid**, A B C D ( Fig . 52 ) . Find M , the middle point of A D , draw M N ↑↑ A B , and study the figure ...**trapezoid**. It is called the median of a**trapezoid**because it passes though the middle points of both legs . Notice ... Page 68

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**trapezoid**, A B C D , find the median , if A B = 111⁄2 in . and CD = 5 in . 338. Find the base A B of a**trapezoid**, A B C D , if C D = 8 in . , and the median , M N , 12 in .; if C D = 11 in . and the median , M N , 13 in .; if C D7 cm ... Page 69

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**trapezoid**1 A C3 . The line 2 B is manifestly the median of the**trapezoid**, and , there- fore , the average of the two bases . It follows that the line 3 C must be equal to 3x , for 2x is the average between x and 3x . By studying the ...### Other editions - View all

### Common terms and phrases

A B C D altitude angle formed angles alike angles equal answer antiparallel base angle bisect called centre chord circle circumference Compare compasses construction corresponding diagonal diameter direction distance dividing tool Draw a line edges equal triangles equivalent figure Find a square Geometry give hexagon hypotenuse Imagine inch inscribed angle isosceles triangle legs length line A B M N P measure method middle point mould move number of degrees oblique pair paper parallel parallelogram pentagon perpendicular piece plane polygon position principle protractor quadrilateral radius rectangle rectangular parallelopiped rhomboid rhombus right angles right triangle ruler scalene triangle scholium semicircumference shape similar triangles solid square form straight angle straight line strip surface symparallel tangent three lines trapezium trapezoid triangle A B C triangular prism triangular pyramid unequal vertex vertices width

### Popular passages

Page 111 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.

Page 66 - The straight line drawn through the mid-point of one side of a triangle parallel to the base bisects the other side.

Page 55 - Two triangles are congruent if the three sides of one are equal to the three sides of the other. Fig.

Page 49 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...

Page 91 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.

Page 100 - The square root of a number is one of the two equal factors of the number.

Page 115 - In general, any rectilinear figure, as ABC, is said to be inscribed in a circle, when its angular points are on the circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in the segment BAC.

Page 86 - ABCD tends to become a parallelogram, having a base equal to ^ the circumference and an altitude equal to the radius.