| Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...also into two unequalparts ; 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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
| John Playfair - Euclid's Elements - 1847 - 340 pages
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo **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. Let the straight... | |
| J. Goodall, W. Hammond - 1848 - 388 pages
...equal to the squares described upon the sides containing the right angle. SECTION III. 1. If a straight **line be divided into two equal parts, and also into...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. 2. In any triangle... | |
| Great Britain. Council on Education - Education - 1848 - 532 pages
...equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight **line be divided into two equal parts, and also into...contained by the unequal parts together with the square** of the line between the points of section is equal to the squares of half the line. 2. In any triangle... | |
| Great Britain. Committee on Education - Education - 1848 - 514 pages
...equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight **line be divided into two equal parts, and also into...contained by the unequal parts together with the square** of the line between the points of section is equal to the squares of half the line. 2. In any triangle... | |
| Euclid - 1848 - 52 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight **line be divided into two equal parts, and also into...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.... | |
| Education - 1848 - 542 pages
...Geometry," &c. page 39, where a new proof is given of this important theorem. SECTION 3. 1. If a straight **line be divided into two equal parts, and also into...parts, the rectangle contained by the unequal parts,** togelher with the square of the line between the points of section, is equal to the square of half... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight **line be divided into two equal parts, and also into...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. Let the straight... | |
| 1850 - 398 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. **If a right line be divided into two equal parts, and...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. 3. In every triangle,... | |
| Education - 1851 - 502 pages
...rectilineal angle. upon the same side together equal to two right angles. SECTION II.—1. If a straight **line be divided into two equal parts, and also into...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. 3. The opposite... | |
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