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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 56
by Euclides - 1845

## First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...contained by the parts together with the square on the other part. Prop. 5 should be established thus : — Let the straight line AB be divided into two equal parts in C, and into two unequal parts in D ; then the rectangle AD, DB, together with the square on CD, shall...

## Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...parallel to each other. 3. Show that if a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 4. Show that in...

## Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...a straight line be divided into two equal and also into two unequal parts, the rectangle of the two unequal parts together with the square of the line...of section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal...

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

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...shall be double of the triangle. 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. If any point D...

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...sqs. on AC, CB. PROPOSITION 5. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. ' Let AB be bisected...

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

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...proof must be geometrical^ 1. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 2. In obtuse-angled...

## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...sides is a right angle. 7. If a straight line be divided into two equal parts, and 11 also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 8. In obtuse-angled...

## The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...into two equal and also into two unequal parts, the rectangle of the unequal parts with the square on the line between the points of section, is equal to the square on half the line. (Euclid, B. II, prop. 5). 49. The square on the straight line, drawn from the vertex...