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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. "
The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ... - Page 79
by Āryabhaṭa - 1878
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...to one another in the duplicate ratio of their homologous sides. 14. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. '*•' GEOGRAPHY PAPER. EXAMINER :— REV. T. FOWLER, MA, Sub-Rector, Tutor, and Librarian, Lincoln...
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Parliamentary Papers, Volume 42

Great Britain. Parliament. House of Commons - Bills, Legislative - 1864 - 700 pages
...ABE, EC A, CDB, DEC, EAD are together equal to two right angles. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. 12. If two straight lines be cut by parallel planes, they will be cut in the same ratio. . June 1864....
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...one another that the polygons have. 11. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. No. 6. 1. If from the ends of a side of a triangle, there be drawn two straight lines to a point within...
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A Short Hstory of of Greek Mathematics

James Gow - 380 pages
...now appended to Euclid vi. (D), that " the rectangle contained by the diagoaals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides'", and then proceeds to shew how from the chords of two arcs that of their sum and difference and how...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1851 - 1054 pages
...to one another in the duplicate ratio of their homologous sides. 3- 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. Section 4. 1. Given the base, the vertical...
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Calendar

University of St. Andrews - 1900 - 670 pages
...arcs AC, BD at the centre of the circle are together double of AOC. 10. 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. If BA', CA' are drawn perpendicular to the...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 748 pages
...in the points D, E respectively, prove that BD : DA : : CE : EA. 10. 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. ALGEBRA. Time allowed, 3 hours. 1. Prove...
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