## Elementary and Constructional Geometry |

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... 565 104 SECTION XVIII .

... 565 104 SECTION XVIII .

**CIRCLES**AND INSCRIBED ANGLES 566-625 111 SECTION XIX . VOLUMES 626-678 123 INDEX 137 SUMMARY OF FACTS , DEFINITIONS , AND PRINCIPLES . 139 ELEMENTARY AND CONSTRUCTIONAL GEOMETRY SECTION I. 1. In the group. Page 18

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**circle**of metal or cardboard called a protractor ( Fig . 24 ) . The centre is clearly marked by a notch . The 30 100 110 80 80 70 120 70 100 60 110 50 130 60 120 40 140 50 130 30 150 150 40 20 160 140 10 170 30 150 180 170 20 160 0 081 ... Page 86

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**circle**. Each time the polygon could be moulded into a tri- angle having a base equal to the perimeter of the polygon and an altitude equal to the distance from the centre of the circumference to one of the sides of the polygon . 433 ... Page 109

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**circle**equivalent to the sum of two given**circles**? 554. Can you subtract one**circle**from another , giving the difference in the form of a**circle**? 555. Can you change a circular ring , or band , into a**circle**? 556. Can you make a**circle**... Page 110

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**circle**and divide the diameter into eight parts ; draw semicircumferences , as in Fig . 80 , cutting the**circle**into eight strips . Try to show that the**circle**is thus divided into eight equivalent strips . 563. Can you find a**circle**...### 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