| Cambridge univ, exam. papers - 1856
...and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If **a straight line be divided into two equal parts, and...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... | |
| 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... | |
| 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...section, is equal to 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... | |
| 1857
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 5. 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 square of the line between the points of... | |
| War office - 1858 - 12 sider
...12s., and loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If **a straight line be divided into two equal parts, and...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
...to various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. **line be divided into two equal parts, and also into two unequal parts, the** squares of the two unequal parts are together double of the square of the half line and of the square... | |
| Euclides - 1858
...Лx. 1. Conc. l ¡î.'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. **line be divided into two equal parts, and also into two unequal parts, the** squares of the two unequal parts are together double of the square of the half line and of the square... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...income, and 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...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
...triangle. 8. Bisect a parallelogram by a line drawn through a given point within the figure. 9. If a **line be divided into two equal parts and also into...unequal parts, the rectangle contained by the unequal** paits, together with the square of the line between the points of section, is equal to the square of... | |
| Royal college of surgeons of England - 1860
...be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If **a straight line be divided into two equal parts, and...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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