Books Books
IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 58
by Euclides - 1841 - 351 pages

## Calendar

University College, Dundee - 1889 - 358 pages
...respectively and making the parallelograms ALOK, CHOM equal. Prove that B, 0, C are colliuear. 4. If a straight line be divided into two equal and also into two unequal parts, the sum of the squares on the unequal parts is equal to twice the sum of the squares on half the line and...

## Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...the same base are between the same parallels. 4. Prove, by means of a diagram or otherwise, that if 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 between the points of section...

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

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. Let the straight line AB be divided into two equal parts at C, and into unequal parts at D, then the squares on AD, DB shall be together double of the squares...

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

Edward Albert Bowser - Geometry - 1890 - 420 pages
...0: show that the square on OB is equal to the square on OA with twice the rectangle OA, AC. 48. If a straight line be divided 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...

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

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...but the methods of proof must be geometrical. Great importance will be attached to accuracy, ,] 1. If a straight line be divided into two equal and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q : then shall the sum of the sqq. on AQ, QB be twice the sum of the...

## Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...rectangle contained by the line and the line made up of the half and the part produced. PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...

## Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...contained by the line and the line made up of the half and the part produced. EH F NP M L PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...