| Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 550 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 - 351 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
...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 - 518 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 - Euclid's Elements - 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 - 722 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 - 528 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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