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acute adjoining altitude approach base bisector bisects chord circle circular circumference circumscribed coincide common cone construct containing cutting cylinder described diagonals diameter dihedral angles divided Draw drawn edges equally distant equiangular equilateral triangle equivalent Explain face figure Find formed four frustum given line given point greater half Hence hexagon homologous hypotenuse inches indefinitely inscribed intersecting isosceles triangle lateral area length less limit locus mean measured median meet midpoint opposite pair parallel parallelepiped parallelogram pass perimeter perpendicular plane MN polygon prism PROBLEM Proof proportional Prove pyramid quadrilateral radii radius ratio rectangle regular regular polygon Required respectively right angles right triangle segments sides similar solid sphere spherical triangle square Statement straight line Suppose surface tangent THEOREM third trapezoid unit vertex vertices volume
Page 141 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
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 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.