| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...square are likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, **and also into two unequal parts, the rectangle contained...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
...are likewise squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, **and also into two unequal parts, the rectangle contained...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... | |
| William Somerville Orr - 1854
...л straight line (AB) be divided into two equal parts (inC), and also info two unequal parts (in D), **the rectangle contained by the unequal parts, together with the square of** (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB... | |
| Euclides - 1855
...into turn equal parts, and also into two unequal part'; the rectangle contained by the unequal parta, **together with the square of the line between the points of section** (or division), is equal to the square of half the line. Let the straight line AB be divided into two... | |
| Euclides - 1856
...of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...square of half the line. Let the straight line AB** (Fig. 40) be divided into two equal parts at the point C, and into two unequal parts at the point D;... | |
| Cambridge univ, exam. papers - 1856
...times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal **and also into two unequal parts; the rectangle contained...of section is equal to the square of half the line.** State this result algebraically. 5. Draw a straight line from a given point, either without or in the... | |
| 1857
...If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle **contained by the unequal parts, together with the...section, is equal to the square of half the line.** 6. To describe a square that shall be equal to a given rectilineal figure. 7. If a point be taken within... | |
| War office - 1858 - 12 sider
...cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, **and also into two unequal parts, the rectangle contained...of section is equal to the square of half the line.** 2. Equal straight lines in a circle are equally distant from the centre ; and those which are equally... | |
| Euclides - 1858
...IV. HOOK II. 89 PüOP. V. THEOB. If a st. line be divided into two equal parts, and also into ttco **unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line.** CUN. 10. 1, Pst 1. 31. I. DEM. 43. I. Лх. 2 :il¡. I. Ax. 1. Def. 30. I. Cor. 4. II, 34. I. KXP.... | |
| |