 | Robert Potts - 1855 - عدد الصفحات: 1050
...two equal parts. Prove also that the two diameters bisect each other. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part Solve the same problem algebraically, and give the geometrical... | |
 | Great Britain. Committee on Education - 1855 - عدد الصفحات: 976
...two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Section 3. 1. The angles in the same segment of a circle are... | |
 | Euclides - 1855 - عدد الصفحات: 270
...that the rectangle contained by the whole and one of the parts, shall be equal to the square oflhe other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of tLe parts, shall be equal... | |
 | Cambridge univ, exam. papers - 1856 - عدد الصفحات: 252
...each of the parts, are together equal to the square of the whole line. 7. Divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 8. If two circles cut one another, they shall not have the same... | |
 | Henry White - 1856 - عدد الصفحات: 168
...it are either two right angles, or are together equal to two right angles. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the parts shall be equal to the square of the other part. 19 If two circles cut each other,... | |
 | Henry Latham - 1857 - عدد الصفحات: 390
...through the same point. 3. Shew by diagram that a (b + c} = ab + ac. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Give the full construction. 4. Define a decimal fraction. Prove... | |
 | Archibald Montgomerie - 1857 - عدد الصفحات: 116
...of sheep, and the price of each. Ans. 100 at 30s. (25.) Divide a given line a, into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other. , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.)... | |
 | Elias Loomis - 1858 - عدد الصفحات: 256
...line into two parts, such that ihe greater part may be a mean proportional between the whole line and the other part. Let AB be the given straight line ; it is required to divide it into two parts at the point F, such that AB : AF : : AF : FB. At the extremity of the line AB, erect the perpendicular... | |
 | Euclides - 1858 - عدد الصفحات: 248
...for the learner. " — LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. SOL. — 46. I. To describe a square on a given line. 10. I.... | |
 | Euclides - 1858 - عدد الصفحات: 136
...ijivru. ihr .«'iíe». o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. SoL. 46. I, 10. I, 3. I. Pat i. 2. DEM. 6. II, 47. I, Ax. 3.... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
