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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 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

## Robert of Chester's Latin translation of the Algebra of al-Khowarizmi

Muḥammad ibn Mūsá Khuwārizmī - Literature, Medieval - 1915 - 206 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." This is one of the propositions of Euclid which connect very directly with the geometrical...

## The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1916 - 554 pages
...unequally. Prove that the rectangle contained by the unequal segments, together with the square on tjie line between the points of section, is equal to the square on half the line. 2. Construct a square equal in area to a given rectangle. 3. A point is taken on a diameter of a circle,...

## Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 186 pages
...straight is divided into two equal parts and also into two unequal parts, then the rectangle contained hy the unequal parts, together with the square on the...section, is equal to the square on half the line. A point S moves from one end of a line PQ. to the other end. Where is S when the rectangle PS . SQis...

## Education in Scotland

Great Britain. Scottish Education Dept - 1896 - 642 pages
...straight line, and that their distances from CD are equul to another given straight line. 7. If a straight line be divided into two equal parts, and also into...two unequal parts, the rectangle contained by the two unequal parts shall be equal to the difference of the squares on half the line, and on the line...

## A Source Book in Medieval Science

Edward Grant - Science - 1974 - 890 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." BE • BC + (CF)2 = (BF)*. S5.BF= V4Î and CF = j ; therefore, BF - CF = n/-» /TT 1 лС...

## The Beginnings of Greek Mathematics

A. Szabó - History - 1978 - 378 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." Proposition II. 6: "If a straight line be bisected and a straight line be added to it in...

## The Emergence of Number

John N. Crossley - Mathematics - 1987 - 240 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 (Heath [1925], I, 382). Book II, Proposition 6. If a straight line be bisected and a straight...

## The Irish Law Times and Solicitors' Journal, Volume 37

Law - 1903 - 960 pages
...the same base and between the same parallels, the parallelogram is double of the triangle. 5. If a line be divided into two equal parts, and also into...the unequal parts, together with the square on the part between the points of section, is equal to the square on half the line. 4. On a given right line...