| John Playfair - 1847 - 317 sider
...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...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 two unequal parts... | |
| Euclides - 1848
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If **a straight line be divided into two equal parts, and...section, is equal to the square of half the line.** EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the... | |
| J. Goodall, W. Hammond - 1848
...angle is 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...of section is equal to the square of half the line.** 2. In any triangle the square of the side subtending contained by either of these sides, and the straight... | |
| Great Britain. Committee on Education - 1848
...angle is 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...line between the points of section is equal to the** squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
| Great Britain. Council on Education - 1848
...angle is 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...line between the points of section is equal to the** squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
| 1848
...Tate's 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...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 - 108 sider
...manifest that 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...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 two unequal parts... | |
| 1850
...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 also into...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... | |
| 1851
...given 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...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... | |
| Harvey Goodwin - 1851 - 173 sider
...divided into four equal parts. In what case will the diameter bisect the angle of a parallelogram? 3. If **a straight line be divided into two equal parts, and...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... | |
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