Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The rectangle contained by the diagonals of a quadrilateral ,figure inscribed in a circle, is equal to both the rectangles contained by i'ts opposite sides. "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - Page 112
1821 - 425 pages
Full view - About this book

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...straight line. Hence show how a given straight line may be divided into any number of equal parts. 7. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. 8. Define the tangent of an angle, find the value of tan 60, and prove that tan (180 — A) = —...
Full view - About this book

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...Show that, whatever be the length of the arc PQ, LP always meets OA produced in a fixed point. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by the opposite sides. ALGEBEA. 1 . Show that the result is the...
Full view - About this book

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...their homologous sides. Bisect a given triangle by a straight line drawn parallel to the base. 11. 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. 12. If a straight line stand at right angles...
Full view - About this book

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

Euclides - Euclid's Elements - 1881 - 236 pages
...is equal to the rectangle E A. AD (VI. 16). Therefore, if from any angle, &c. QED PROP. D. THEOR,EM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle, is equa I to both the rectangles contained by its opposite sides. Let ABCD he any quadrilateral figure...
Full view - About this book

A Short History of Greek Mathematics

James Gow - Mathematics - 1884 - 350 pages
...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 of two arcs that of their sum and difference...
Full view - About this book

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides. 1 1 . The rectangle contained by the diagonals of a...quadrilateral figure inscribed in a circle is equal to the two rectangles contained by the opposite sides. II. ARITHMETIC. (Including the use of Common Logarithms.)...
Full view - About this book

Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...similar triangles are to one another in the duplicate ratio of their homologous sides. 6. Prove that the rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. What does this theorem become when the quadrilateral is a rectangular parallelogram ? ' 7. Prove that...
Full view - About this book

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...is divided by the point of contact of the inscribed circle is equal to the area of the triangle. 7. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by pairs of opposite sides. If the quadrilateral cannot be inscribed...
Full view - About this book

A history of elementary mathematics

Florian Cajori - Mathematics - 1896 - 338 pages
...which seems original with him. After proving the proposition, now appended to Euclid, VI. (D), that "the rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides," he shows how to find from the chords of two arcs the chords of 1 JL HEIRERG in Bibliotheca Mathematica,...
Full view - About this book

School Science and Mathematics, Volume 17

Education - 1917 - 908 pages
...PTOLEMY'S THEOREM. By ALBERT BABBITT, University of Nebraska, Lincoln. Ptolemy's theorem states that "the rectangle contained by the diagonals of a quadrilateral...equal to both the rectangles contained by its opposite sides."1 By means of this theorem and the Law of Sines, the addition and subtraction formulas of trigonometry...
Full view - About this book




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