 | William Somerville Orr - 1854 - 534 páginas
...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 - 1050 páginas
...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 - 976 páginas
...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 - 200 páginas
...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 - 168 páginas
...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 - 252 páginas
...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 - 390 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 - 578 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 - 136 páginas
...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 - 248 páginas
...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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Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other... 
