 | William Somerville Orr - 1854 - 534 sider
...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 - 270 sider
...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 - 168 sider
...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 by the...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 - 252 sider
...Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...section, is equal to the square of half the line. Prove this proposition algebraically. 6. Find the centre of a given circle. Shew that if in a circle... | |
 | 1857 - 408 sider
...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 - 578 sider
...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 by the...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 - 136 sider
...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.... | |
 | Euclides - 1858 - 248 sider
...finite st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...the square of the line between the points of section equals the square of half the line. Def. 15 and 16. A circle is a plane figure contained by one line... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the...section, is equal to the square of half the line. 2. Describe a square equal to a given rectilineal figure. Give a construction for determining a square... | |
 | 1859 - 414 sider
...into two equal parts and also into two unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points...section, is equal to the square of half the line. 10. Divide a straight line into two parts, so that the rectangle contained by the whole and one of... | |
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If a straight line be divided into two equal parts, and also into 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. 
