Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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
Full view - About this book

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...diameter of the circle described about the triangle. PROP. D. THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. BOOK XL DEFINITIONS. I. A SOLID is that which hath length, breadth, and thickness. II. That which bounds...
Full view - About this book

The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...about the equal angles of equiangular triangles are proportionals. 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. 2. If one diagonal of a quadrilateral bisects...
Full view - About this book

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...any angle, etc. QED PROPOSITION D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles...its opposite sides. Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD : the rectangle contained by AC, BD is equal to the two rectangles...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...rectangle EA.AD. PROP. D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed tn a circle, is equal to both the rectangles, contained...its opposite sides. Let ABCD be any quadrilateral inscribed in a circle, and let AC, BD be drawn ; the rectangle AC.BD is equal to the two rectangles...
Full view - About this book

The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...angle, &c. QED PROPOSITION D. — THEOREM. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposiie sides. LET abcd be any quadrilateral inscribed in a circle, and join ac, bd ', the rectangle...
Full view - About this book

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...D (VI. 16). Therefore, if from any angle, &c. QED PROP. D. THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...the rectangles contained by its opposite sides. Let AB С D be any quadrilateral figure inscribed in a circle, and A С and BD its diagonals. The rectangle...
Full view - About this book

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...triangle: shew that BC or DE is a mean proportional to BE and CD. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. 13. If in the same circle there be inscribed two triangles of equal area, then the rectangle contained...
Full view - About this book

The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...PROPOSITION D. (a) VI. 5. (6) III. 21 (c) III. 31. (<Z) VI. 4. (e) VI. 16. THEOREM.—The rectangle under the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. DEMONSTRATION. Let ABCD be any quadrilateral figure inscribed in a circle, and join AC, BD : the rectangle...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...rectangle EA.AD. PROP. D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed ma circle, is equal to both the rectangles, contained...its opposite sides. Let ABCD be any quadrilateral inscribed in a circle, and let AC, BD be drawn ; the rectangle AC.BD is equal to the two rectangles...
Full view - About this book

The Quarterly Journal of Pure and Applied Mathematics, Volume 1

Mathematics - 1857 - 478 pages
...ас Т* hence Oa.bc=0b.ac+0c. ab. Or, the rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides; as we know by Euclid, book vi., prop. D. Again, it is known that if О be any point in the circumference...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF