| Great Britain. Committee on Education - 1848
...Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts together...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... | |
| George Moody - 1848
...equal parts, and also into two unequal 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 the line.** — See " Bell's Euclid," prop. 5, bookii. SECTION 4. 1. Construct a triangle whose arc shall be equal... | |
| Euclides - 1849
...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 parts, together...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.... | |
| 1850
...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 parts, together...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... | |
| Harvey Goodwin - 1851 - 173 páginas
...parallelogram? 3. If a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...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... | |
| Euclides - 1852
...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 parts, together...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.... | |
| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...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 parts, together...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.... | |
| Euclides - 1853
...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 parts, together...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.... | |
| Euclides - 1853 - 147 páginas
...V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...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... | |
| Euclides - 1853
...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... | |
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