 | Cambridge univ, exam. papers - 1856 - 252 sider
...to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also into two unequal parts,...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 - 200 sider
...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 - 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
...what the horse 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,...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
...I. 10. I. To bisect a given 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 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
...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 - 414 sider
...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 two 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 - 332 sider
...and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts,...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... | |
 | Euclides - 1860 - 288 sider
...diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into two unequal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Given the straight... | |
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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 on the line between the points of section, is equal to the square on half the line. 
