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

### From inside the book

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**pair**of compasses . It is better to have one pencil set aside for drawing only , and to have that sharpened with a chisel edge for use with a ruler . But you must never imagine that the solids have any of the faults of your drawings . 4 ... Page 24

... the principle by heart , and also copy it in the " Summary . " 116. Write the same principle almost entirely by signs , which have already been explained . 117. Select other

... the principle by heart , and also copy it in the " Summary . " 116. Write the same principle almost entirely by signs , which have already been explained . 117. Select other

**pairs**of angles in Fig . 31a 24 ELEMENTARY AND. Page 25

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**pairs**of supplementary angles as you can . Note specially those which are the supplements of the same angle . What can you say about the direction of their sides ? Your study of the last three articles should enable you to make the ... Page 29

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**pairs**of equal angles , telling in each case how you know that the angles are equal . What can you say about the sum of the angles with vertices at C ? What can you say about the sum of the angles of the triangle ? Compare the result ... Page 31

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**pair**of corresponding angles equal , or any**pair**of alternate interior or alternate exterior angles equal . 168. A practical way of drawing parallels by making the N P B corresponding angles equal is to slide a CONSTRUCTIONAL GEOMETRY 31.### 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.