| William Somerville Orr - 1854
...divide a given straight line (AB) into two parts, so that the rectangle contained by the whole, and от **of the parts, shall be equal to the square of the other part.** From A draw AC perpendicular and equal to AB;* bisect AC in E,t and draw BE. Prolong С A to F, making... | |
| Robert Potts - 1855
...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 interpretation of the result. 4. The... | |
| Great Britain. Committee on Education - 1855
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice **the rectangle contained by the whole line and one of the parts,** together with the square of the other part. 5. To construct a square equal to a given rectangle. 6.... | |
| Cambridge univ, exam. papers - 1856
...line. 7. 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.** 8. If a straight line drawn through the centre of a circle bisect a straight line in it, which does... | |
| Henry White - 1856
...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, the straight lines joining their centres will bisect their common... | |
| Cambridge univ, exam. papers - 1856
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| Henry Latham - 1857 - 59 páginas
...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 the rule for pointing in the multiplication... | |
| War office - 1858 - 12 páginas
...do the rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so **that the rectangle contained by the whole line and...parts shall be equal to the square of the other part.** NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D., FRS, IN THE ABSENCE OF W. WARINGTON SMYTH, ESQ.,... | |
| Euclides - 1858
...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. 1, Dei. 8U. 1. E». i Dat. Quœs. CON.... | |
| Euclides - 1858
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, **the rectangle contained by the whole line and one of the parts,** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
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