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ABC and DEF ABCD altitude angle formed Apply base bisector bisects called chord circle circumference circumscribed coincide common cone Construct contains CONVERSELY COROLLARY cylinder DEFINITION described diagonals diameter difference dihedral angles divided Draw drawn edges equally distant equilateral triangle equivalent EXERCISE exterior angles extremities faces figure Find four given given line given point greater half homologous included inscribed isosceles length less Let ABC limit line joining mean measure meet middle points oblique opposite sides parallel parallelogram parallelopiped pass perimeter perpendicular placed plane polygon polyhedron prism prolonged Proof proportional PROPOSITION Prove pyramid quadrilateral radii radius ratio rectangle Required respectively right angles segments Show sides similar square straight line Suggestion surface tangent tetrahedron THEOREM third trapezoid triangle triangle ABC unequal unit vertex vertices volume Whence
Page 185 - Any two rectangles are to each other as the products of their bases by their altitudes.
Page 53 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Page 178 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 68 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 186 - The area of a rectangle is equal to the product of its base and altitude.
Page 201 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Page 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.