 | Robert Potts - 1855 - 1050 pagina’s
...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 - 270 pagina’s
...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 - 252 pagina’s
...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 - 390 pagina’s
...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 - 578 pagina’s
...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 - 332 pagina’s
...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 - 380 pagina’s
...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 - 260 pagina’s
...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... | |
 | Alfred Wrigley - 1862 - 330 pagina’s
...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... | |
 | Euclides - 1862 - 140 pagina’s
...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.... | |
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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
