Introduction to Geometry: A Manual of Exercises for Beginners

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Allyn and Bacon, 1904 - Geometry - 137 pages

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Page 64 - that the flag of the thirteen United States be thirteen stripes, alternate red and white; that the union be thirteen stars, white in a blue field, representing a new constellation.
Page 36 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 67 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 67 - 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 88 - Therefore, the specific gravity of a solid or a liquid body is the ratio of its weight to the weight of an equal volume of water...
Page 88 - POPULATION. first census of the United States was taken in 1790, and there has been one taken every tenth year since that time. The following table shows the absolute number of inhabitants, " excluding Indians not taxed," at each decennial period, and also the rate per cent of increase during the previous ten years : — Year.
Page 133 - ... 60, and the shorter diagonal is 16 ft. Find the area. 189. The acute angles of a rhombus are each equal to 60, and the longer diagonal is 108 yds. Find the area. 190. Two vessels start at the same time from the same place, and sail, one due north, the other due east, at the rates of 6 and 8 mi. per hour respectively. How far apart will they be at the end of 6 hrs. ? 191. What distance will a man save, if, instead of walking along the sides of a rectangular field 640 yds. long and 480 yds....
Page 38 - The side of a right triangle opposite the right angle is called the hypotenuse. The other two sides are called legs.
Page 102 - A. semicircle is half a circle. Read four segments each larger than a semicircle. The part of the circle between the two radii of, oi, and the arc/ i, is called a " sector." Read four sectors each less than one-fourth of a circle.* A sector is a part of a circle bounded by two radii and an arc. What part of the whole circle is the sector/ oh? It is called a
Page 7 - A(B{C( the direction around the boundary from vertex A{ to vertex Bi to vertex C'i is opposite to the direction in which the hands of a clock move (counterclockwise direction).

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