 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...contained by the two sides. PROPOSITION D. THEOREM. The rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles, contained, by its opposite sides. A Let ABCD be any quadrilateral inscribed in a ®. Join AC, BD. Then... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...twice the diameter of the circumscribed circle. 104. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by the opposite sides. 105. If a perpendicular is drawn from the vertex of... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...o EA AC . .'. BAX AC = EA X AD. PROPOSITION XX. THEOREM. 301. The product of the two diagonals of a quadrilateral inscribed in a circle is equal to the sum of the products of its opposite sides. JC Let ABC D be any quadrilateral inscribed in a circle, AC and BD... | |
 | James White - Conic sections - 1878 - 160 pages
...similar triangles formed, as in previous proposition. XXVIII. The rectangle under the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the rectangles under the opposite sides.. XXIX. If from any point on the circumference of a circle perpendiculars... | |
 | Dublin city, univ - 1878 - 498 pages
...of the equations ax + 6y = c, ax + $y = y. MR. BCHNSIDE. 7. The rectangle under the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the rectangles under the opposite sides ? 9. Describe a circle touching two right lines and a given circle. 9. Solve... | |
 | James McDowell - 1878 - 310 pages
...produced bisector and its produced part ................ 61 93. The rectangle under the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the rectangles under its opposite sides (VI. D) ................ 61 94. If perpendiculars be drawn from the extremities... | |
 | Oxford univ, local exams - 1880 - 396 pages
...drawn parallel to the base. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 12. If a straight line stand at right angles to each of two straight... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...OA produced in a fixed point. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by the opposite sides. ALGEBEA. 1 . Show that the result is the same whether 2 -f- д/ 3... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...twice the diameter of the circumscribed circle. 104. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by the opposite sides. 105. If a perpendicular is drawn from the vertex of... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...EA AC :.BA X AC = EA X AD. QED PROPOSITION XX. THEOREM. 301. The product of the two diagonals of a quadrilateral inscribed in a circle is equal to the sum of the products of its opposite sides. J3 Let ABC D be any quadrilateral inscribed in a circle, AC and BD... | |
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The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides. 
