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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 first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter MASON - 1872

## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...manifest that the rectangles about the diameter of a square are likewise squares. L. — EUCLID II. 5. 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 of the line between the points of...

## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...If the square on the hypothenuse be fire times that on one of the sides; compare the two sides. 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 of the line between the points of...

## Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pages
...to two right angles. At what angles are the sides of a regular duodecagon inclined to each other? 3. 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...

## Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...to the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — 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...

## Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...to the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — 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...

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...intersect and bisect each other, the straight lines joining their extremities will form a parallelogram. 9. 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...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...of the diagonals of a parallelogram are together equal to the squares of the four sides. 6. If a st. line be divided into two equal and also into two unequal parts, the squares of the two unequal parts are together equal to twice the rectangle contained by these parts, together...

## A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...the square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line, and of the square of the line...