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 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

## The Calendar of King's College, London

1850 - 398 pages
...the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal...section, is equal to the square of half the line. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the...

## A Collection of Problems and Examples, Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...angle of a parallelogram? 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line. 4. Equal straight lines in a circle are equally distant from the centre ; and conversely, those which...

## The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into two unequal parts : the rectangle contained by the unequal...section, is equal to the square of half the line. 3. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...

## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 pages
...1.] BOOK II. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...likewise squares. PROP. V. THEOREM. If a straight 'line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...squares. PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, and also into two unequal parts, the rectangle contained by the unequal...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...points of section, is equal to the square of half the Une. LET the straight line ab be divided into two equal parts in the point С, and into two unequal...

## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then the rectangle contained by the unequal parts together with the square of the part of the line intercepted between the points of section, shall be equal to the square of half the...