 | Richard Wormell - 1876 - 268 pages
...diameter of the circle described about the triangle. . . . . . . . . . . 240 D. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. . , 240 E. If a segment of a circle be bisected, and from... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...equal to the rectangle 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... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...three sides divided by 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... | |
 | Dublin city, univ - 1878 - 498 pages
...roots are the solutions 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... | |
 | James McDowell - 1878 - 310 pages
...under the whole 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... | |
 | James White - Conic sections - 1878 - 160 pages
...Then there are two 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... | |
 | George Shoobridge Carr - Mathematics - 1880
...tho base and the diameter of the circumscribing circle. VI. D. — Ptolemy's Theorem. The rectangle of the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles under the opposite sides. BOOK XL XI. 4. — A right line perpendicular to two others at... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...three sides divided by 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... | |
 | Samuel Constable - Geometry - 1882 - 222 pages
...angle, and the rectangle contained by the sides: construct it. PROP. 95. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the rectangles contained by the opposite sides. Let ABCD be a quadrilateral inscribed in... | |
 | James Gow - Mathematics - 1884 - 350 pages
...out. He next proves the proposition, now appended to Euclid vi. (D), that " the rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides1", and then proceeds to shew how from the chords of two... | |
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THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the. 
