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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages

## Transactions, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. 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....

## The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...rectangle BD, CD is equal to the rectangle AD, ED. 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole, and that part, together with the square on...

## The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...the same parallels are equal to one another. State (without proof) a converse of this proposition. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other...

## The Competitor, Volumes 1-2

1882 - 480 pages
...square on half the line. 6. Show that if a straight line be divided into any two parts, the sum of the squares on the whole line, and on one of the parts, is equal to twice the rectangle contained by the whole and that part, together with the square on the...

## The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...of the parallelograms which are about the diameter of any parallelogram are equal to one another. 4. 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....

## Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...the point required. The proof is obvious from the analysis. SUMMARY OF PROPOSITION XI., PROBLEM 1. 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....

## The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...parts, together with twice the rectangle contained by the parts. FAG -QEF THE PRACTICAL TEACHER. 2. 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....

## Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...obtuse-angled triangle. 4. To describe a square that shall be equal to a given rectilineal figure. To divide a given straight line into two parts so that the rectangle contained by the two parts shall be equal to the square on one-fourth of the line given....