Books Books
AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
The First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...straight line, &c. QED Proposition 11. — Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It is required to...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 pages
...with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. jD K I"' Let AB be the given st. line. On AB descr....

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...with twice the rectangle contained by the parts. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Algebra. — 1. A man invests half his property at...

## The Madras University Calendar, Volume 1

...any other equal triangle upon the same base. III. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. IV. (a) If from any point without a circle two straight...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...the squares of the segments of the diameter. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on .the other part. Solve the problem algebraically. Interpret and construct...

## Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 48 pages
...insoluble problems. An illustration of this may be given in the case of a straight line, so divided that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part — a proportion to be hereafter alluded to as of great...

## First Public Examination in Literis Graecis Et Latinis

...between the same parallels, are equal to one another. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 10. In a circle the angle in a semicircle is a right...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...bisects them. What is the hypothesis in this proposition ? 4. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. Describe a square that shall be equal to a given rectilineal...