Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Tin; 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. Let ABCD be any quadrilateral inscribed in a circle... "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 204
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
Full view - About this book

Geometrical Exercises for Beginners

Samuel Constable - Geometry - 1882 - 222 pages
...triangle, the base, vertical angle, and the rectangle contained by the sides: construct it. PROP. 95. The rectangle contained by the diagonals of a quadrilateral...is equal to the sum of the rectangles contained by the opposite sides. Let ABCD be a quadrilateral inscribed in a circle : then AC.BD = AB.CD + BC.AD,...
Full view - About this book

Science, Volume 2

John Michels (Journalist) - Science - 1883 - 880 pages
...subject, he gives there the theorem, afterwards inserted in Euclid (book vi. prop. D), relating to the rectangle contained by the diagonals of a quadrilateral inscribed in a circle. The Arabians made the improvement of using, in place of the chord of an are, the sine, or half chord...
Full view - About this book

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...conversely. 8. In the same figure prove AB . AD + CB . CD : BA . BC + DA . DC = AC:BD. PROPOSITION D.* THEOREM. The rectangle contained by the diagonals...quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides. A Let ABCD be a quadrilateral inscribed in a circle,...
Full view - About this book

A Short History of Greek Mathematics

James Gow - Mathematics - 1884 - 350 pages
...these Ptolemy first sets 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...
Full view - About this book

English Mechanic and World of Science: With which are ..., Volume 38

Industrial arts - 1884 - 594 pages
...the subject he gives there the theorem afterwards inserted in Euclid (Book VI. Prop. D) relating to the rectangle contained by the diagonals of a quadrilateral inscribed in a circle. The Arabians made the improvement of using in place of the chord of an arc the sine, or half chord...
Full view - About this book

Calendar of Dalhousie College and University

Dalhousie University - 1884 - 184 pages
...one another. 3. If a quadrilateral be inscribed in a circle, the rectangle contained by its diagonals is equal to the sum of the rectangles contained by its opposite sides. 4. Prove that in a parabola the subnormal is constant and equal to twice the distance of the focus...
Full view - About this book

A treatise on spherical trigonometry, by W.J. M'Clelland and T. Preston, Part 1

William John M'Clelland - 1885 - 182 pages
...angles of a triangle are equal, the triangle is isosceles. (4). The sum of one pair of opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the remaining pair. For, join the pole of the circle to the angles of the quadrilateral forming four isosceles...
Full view - About this book

Examinations Papers

1885 - 522 pages
...extremities. 5. If a quadrilateral be inscribed in a circle the rectangle contained by its diagonals is equal to the sum of the rectangles contained by its opposite sides. ABC is an equilateral triangle in a circle ABC and P a point in the smaller arc BC. Prove that the...
Full view - About this book

A Synopsis of Elementary Results in Pure Mathematics: Containing ...

George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...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 XI. XI. 4. — A right line perpendicular to two...
Full view - About this book

Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...equal to the similar and similarly described figures upon the sides containing the right angle. 2. The rectangle contained by the diagonals of a quadrilateral...of the rectangles, contained by its opposite sides. 3. If two planes cut one another, their common section must be a straight line. 4. If two planes wbich...
Full view - About this book




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