| Euclides - 1846
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight Kne **be divided into two equal parts, and also into two...section, is equal to the square of half the line.** Let the straight line ATI be divided into two equal parts at the point C, and into two unequal parts... | |
| Euclid, John Playfair - 1846 - 317 sider
...PROP. V. THEOR. If a straight line le dividedinto two equal parts, and also into two unequalparts ; **the rectangle contained by the unequal parts, together...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... | |
| Perry Fairfax Nursey - 1846
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a **line be divided into two equal parts, and also into two unequal parts, the** square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... | |
| 1846
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a **line be divided into two equal parts, and also into two unequal parts, the** square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... | |
| Frederic A. Adams - 1846 - 212 sider
...what are the numbers ? The theorem on which the solution of this question depends is this, If a number **be divided into two equal parts, and also into two unequal parts, the** product of the two equal parts, that is, the square of half the number, will equal the product of the... | |
| 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... | |
| 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,...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... | |
| 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,...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... | |
| Great Britain. Council on Education - 1848
...right 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,...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. Committee on Education - 1848
...right 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,...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... | |
| |