| Robert Simson - Trigonometry - 1762 - 488 pages
...«• »«. «. D. PRO PD THE 0 R. rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral infcribed in a circle, and join AC, BD; the rectangle... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...it. «. D. PRO PD THEO R. TPHE rectangle contained by the diagonals of a qua| drilateral inferibed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral inferibed in a circle, and join AC, BD ; the rectangle... | |
| Euclid - 1781 - 552 pages
...angle, &c. Q^ED PROP. D. THE 6 R. THE rectanglc contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofue fides. Let ABCD bs any quadrilateral infcribed in a circle, and join AC, BD ; the rectangle... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...6. SEc. Q^ED PROP. D. THEOR. THE rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be a quadrilateral infcribed in a circle, and draw the diagonals AC, BD ;... | |
| Cambridge (England) - 1804 - 476 pages
...the area of the greatest polygon of the same number of sides, inscribed in the circle : : radius^ : cos.]2 of half the angle subtended by any side. Mr....its velocity, is the same before and after impact. 3. Shew that, when bodies revolve in circles having the force in centre, the force varies as the radius... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...l6. 6' C^_E. D. PROP. D. THEOR. THE rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral infcribed in a circle, and join AC, BD; the rectangle... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...an angle, fcc. QED PROP. D. THEOR. THE rectangle contained by the diagonals of aseeN. 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 rectangle contained by AC,... | |
| John Playfair - Mathematics - 1806 - 320 pages
...c21.3. d4. 6. e 16. 6. PROP. D. PROS. THE rectangle contained by the diagonals of a Soe N. quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides. Book VI. a 21. 3. b4. 6. c 16. 6. dl.2. Let ABCD be any quadrilateral inscribed in a circle, and let... | |
| John Mason Good - 1813 - 714 pages
...described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Book XI. Def. 1.— A solid is that wh.ich hath length, breadth, and thickness. 2. That which bounds... | |
| Euclides - 1816 - 588 pages
...from an angle, £c. QED \ PROP. D. THEOR. THE rectangle contained by the dfagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD he any quadrilateral inscribed in a circle, and join AC, BD; the rectangle contained hy AC,... | |
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