Books Books
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.
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872

## School Science and Mathematics, Volume 20

Education - 1920 - 928 pages
...rectangle contained by the unequal segments of the whole, together with the square on the straight line between the points of section, is equal to the square on the half of the line." Algebraically, this proposition is simply an identity: x(ax) + (a/2-x}t = (a/2)2,...

## Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...it make the interior angles upon the same side together equal to two right angles. 3. If a straight line be divided into two equal parts, and also into...unequal parts ; the rectangle contained by the unequal (Kirts together with the square of the line between the poiuts of section, is equal to the square of...

## Calendar, Part 3

University of Calcutta - 1907 - 446 pages
...into two eqnal parts and also into two uncqnnl parts, the rectnngle contained by the unequal purls, together with the square on the line between the points of section, is eqnal to the sqnare on half the line. Enunciate the Proposition corresponding to the algebraical formula...

## Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section is equal to the square on the half. For let a straight line AB be cut into equal segments at C and into unequal segments at D...

## The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1909 - 546 pages
...angles of a parallelogram are equal to one another, and the diagonal bisects the area ? 4. If a straight line be divided into two equal parts, 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...

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

Royal Military Academy, Woolwich - Mathematics - 1909 - 444 pages
...the lengths of the perpendiculars from the other two angles on the opposite sides. 3. If a straight line be divided into two equal parts, and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between...

## A Few Thoughts on Education

Sir Gooroodass Banerjee - Education - 1910 - 380 pages
...rectangle contained by its equal segments, is equal to the rectangle contained by the unequal segments, together with the square on the line between the points of section, it is clear that the rectangle contained by the segments of a line has the maximum value when the segments...

## Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...of the triangle and is equal to half the base. 8 6. (a) If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...section, is equal to the square on half the line. 5— II. 2 (b) Give the algebraic formula for the theorem in (a). 6 7. The rectangle contained by the...