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

### From inside the book

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**figures**will present no difficulty . In the pursuit of this object a great many useful working principles are learned , which greatly simplify the more advanced study of the subject . The proof of principles is introduced very gradually ... Page

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**FIGURES**. 399-436 79 · · SECTION XVI . PECULIARITIES OF SQUARES 437-532 87 SECTION XVII . AREAS OF SIMILAR**FIGURES**533-565 104 · VOLUMES SECTION XVIII . CIRCLES AND INSCRIBED ANGLES SECTION XIX . INDEX • SUMMARY OF FACTS , DEFINITIONS ... Page 5

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**figures**of Section I. a great many lines are left for the imagination to supply , because the mind does not need them to form a true picture . Give examples of omitted lines in those**figures**. With the ex- planation just given we can ... Page 6

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**figure**; the upper path is called a curved line ; the next , A C D B , is called a broken line ; the next , A B , a straight line ; and the bottom one a mixed line . 28. Write out a definition of each kind in your own language , aiming ... Page 7

Edgar Hamilton Nichols. circumference ? Take great pains with this

Edgar Hamilton Nichols. circumference ? Take great pains with this

**figure**, and do not give up until you have an exact and neat copy of it . 34. Construct Fig . 11 , beginning with three points one inch from each other . SEB FIG . 11 ...### 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.