 | 1856 - 376 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal to the square of the other part. SECT. III. — 1. Equal straight... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be equal to the square of the other part. Section III. — 1. Equal straight... | |
 | War office - 1858 - 578 pages
...his nephew; what are their respective agesl Euclid. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...part, shall be equal to the square of the other part. 2. Upon a given straight line describe the segment of a circle which shall contain an angle equal to... | |
 | Dublin city, univ - 1871 - 366 pages
...Verify, by actual multiplication, the identity (bz - e ) - (ax + by + «)2. MR. LESLIE. 7. Divide a right line so that the rectangle contained by the whole and one part shall be eqxial to the square of the other part. (a). Calculate the lengths of the segments of a line whose... | |
 | Euclid - Geometry - 1872 - 284 pages
...PROBLEM. To divide a given finite right line (AB) so that the rectangle contained under the whole line and one part, shall be equal to the square of the other part. From A draw AC, perpendicular to the given line AB, and let AC be equal to AB and bisect it in E, and... | |
 | Edward Harri Mathews - 1879 - 94 pages
...centre of the circle bisects the angle between the tangents drawn from that point to the circle. 7. Divide a straight line so that the rectangle contained by the whole line and one of its parts may be equal in area to the square on the other part. 8. If from any point... | |
 | Elizabethan club - 1880 - 156 pages
...rectangle contained by the parts. Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other part. 6. If a =- 2, b = 3, c = o, what is the numerical value of tf> — az& + ap + p... | |
 | Samuel H. Winter - 1880 - 172 pages
...an equilateral triangle. 8. Draw a straight line 2-75 in. long, and divide it into two parts, such that the rectangle contained by the whole and one part shall be equal to the square on the other part. 9. Draw a straight line parallel and equal to any straight line you choose to consider... | |
 | 1884 - 648 pages
...Questions. 1. Divide a straight line into two parts, so that the rectangle under j5/¿/¡ the whole line and one part shall be equal to the square of the other. Teachers. 10 marks. 2. Given the sum of the side and perpendicular of an equilateral triangle ; construct... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...PROB. Let AB be any straight line ; it is required to divide AB into two parts, so that the rectangle by the whole and one part shall be equal to the square on the other. Bisect AB in C, and from A draw AD perpendicular to AB, and = A C. Join B D. With D as... | |
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To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. 
