| Euclides - 1855 - 262 pages
...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 pages
...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 unequal...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 pages
...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 unequal...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 pages
...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... | |
| Euclides - 1858 - 134 pages
...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.... | |
| War office - 1858 - 578 pages
...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 unequal...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 - 248 pages
...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 unequal...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 pages
...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 unequal...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... | |
| Education - 1859 - 412 pages
...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... | |
| Royal college of surgeons of England - 1860 - 336 pages
...a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line.** 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by... | |
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