## Elementary and Constructional Geometry |

### From inside the book

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**move**a cube of glass from its place , and then imagine the space which it first occupied to be bounded by surfaces and lines , it will help you to form an idea of a geometrical solid . SECTION I INTRODUCTORY 1-23. Page 5

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**move**from its position to A the position B. It is clear that you can imagine it to**move**along several paths . How many ? How many dimensions will any K C D M N FIG . 9 . B one of these paths have ? Why ? What , then , is the proper name ... Page 6

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**moves**from one position to another . Record this definition in the " Summary . ” 27. There are four paths or lines ...**moving**point . Draw three concentric cir- cumferences . ( Look up the meaning of the word concen- tric , if necessary ... Page 8

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**moves**about the sun . The sun is at one of the places represented by the pins . 39. Imagine a point to**move**from A to D ( Fig . 16 ) , tracing the line A D , and then imagine the line AD to**move**, without tipping , to a new position , B ... Page 9

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**move**to D ( Fig . 18 ) , generat- ing the line AD ; the line AD to**move**to B C , generating the surface A B C D ; and the sur- face A B C D to**move**to the position E F G H. Could the surface take more than one path in**moving**to its new ...### 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 prove quadrilateral radius rectangle rectangular parallelopiped represented 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.

Page 44 - If two lines form a right angle, they are said to be perpendicular to each other ; if they form any other angle, they are said to be oblique to each other. Abbreviation : The sign _L means