American Book Company, 1906 - Geometry, Plane - 254 pages
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adjoining altitude approach base bisector bisects central chord circle circumference circumscribed coincide common construct contains cutting described diagonals diameter difference distance divided Draw drawn ends equally distant equiangular equilateral triangle equivalent external extremities feet figure Find Find the area formed four given given line given point greater half Hence hexagon hypotenuse inches included inscribed inscribed regular intercepted intersecting isosceles triangle length less limit line joining mean measured median meeting midpoint original pair parallel parallelogram passes perimeter perpendicular PLANE polygon PROBLEM produced Proof proportional Prove quadrilateral radii radius ratio rectangle regular hexagon regular polygon Required respectively right angles right triangle secant sector segments sides similar square Statement straight line Suppose tangent THEOREM third trapezoid unit vertex vertices
Page 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Page 79 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Page 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 243 - Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.
Page 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Page 145 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 186 - To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P"