| Education, Higher - 1882 - 494 pages
...will be bisected by a perpendicular drawn to it from the middle point of the base. 6. Divide a given **straight line into two parts so that the rectangle contained by the whole** and one of the parts may equal the square on the other. 7. Divide a given straight line into two parts... | |
| Mary W I. Shilleto - 1882 - 414 pages
...sides is a right angle. Find a square which shall be equal to three given squares. 2. 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. Produce a given straight line... | |
| Marianne Nops - 1882 - 274 pages
...required. The proof is obvious from the analysis. SUMMARY OF PROPOSITION XI., PROBLEM 1. 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. Cons. — On AB describe the square... | |
| College of preceptors - 1882 - 528 pages
...and meeting the sides (produced if necessary). 5. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** shall be equal to the rectangle contained by the two parts together with the square on the aforesaid... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 148 pages
...triangle are together less than two right angles. 5. If a straight 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.... | |
| Education Ministry of - 1882 - 298 pages
...triangle. 4. To describe a square that shall be equal to a given rectilineal figure. To divide a given **straight line into two parts so that the rectangle contained by the** two parts shall be equal to the square on one-fourth of the line given. 6. To draw a straight line... | |
| University of Glasgow - 1883
...adjacent to this angle and the side opposite are given. When is the problem impossible. 3. Show how **to divide a straight line into two parts so that the rectangle contained by the whole** and one of the parts may be equal to the square on the other part. If the length of the larger segment... | |
| Civil service commission - 1883 - 62 pages
...is proved in Eue. II. 4, and is stated as a corollary to that proposition. g. — (1) 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 on the other part. (2) If А В be so divided in C,... | |
| 1886
...lines which are parallel to the same straight line are parallel to each other. 5. 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. NATURAL PHILOSOPHY. FIRST AND... | |
| Joseph Hughes - Education - 1883
...parts, together with twice the rectangle contained by the parts. Euclid II., 4. 3. 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. Euclid П., u. I. Prove that... | |
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