| Robert Potts - 1855
...that iSj divides them into 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... | |
| Euclides - 1855
...straight line which joins the points of the bisection of the diagonals. . PROP. D. PROBLEM. — To **divide a given straight line into two parts so that the rectangle contained by** its segments shall be equal to a given square, not greater than the square of half the given straight... | |
| Cambridge univ, exam. papers - 1856
...contained by the whole and 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... | |
| Henry Latham - 1857 - 59 páginas
...parallelograms thus formed shall pass 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.... | |
| War office - 1858 - 12 páginas
...contained by the parts. If the line be bisected, what 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 one of the parts shall be equal to the square of the other part. NATURAL SCIENCES.... | |
| Royal college of surgeons of England - 1860
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 4. 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 on. the other part. 5. To describe a square... | |
| Robert Potts - 1860 - 361 páginas
...double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * PROPOSITION XI. PROBLEM. To **divide a given straight line into two parts, so that the rectangle** eontained by the whole and one of the parts, shall be equal to the square on the other part. Let AB... | |
| War office - 1861
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. 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 on the other part. If the given line be... | |
| Euclides - 1862
...on AC and CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 11.— PROBLEM. 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 on the other part. (References— Prop.... | |
| Alfred Wrigley - 1862 - 294 páginas
...by the chord joining the points of contact, and the diameter drawn from one of these points. 71. To **divide a given straight line into two parts, so that the rectangle contained by** the whole and one of the parts may be equal to the square of a given line, which is less than the line... | |
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