 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.  Science Examination Papers - Page 46by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | University of Glasgow - 1883 - 438 pages
...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 be 10... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight... | |
 | Euclides - 1883 - 176 pages
...twice the rectangle contained by either side and the projection of the base upon it. PROP. 11. PROB. To divide a given straight line into two parts so that the square on one part shall be eqnal to the rectangle contained by the whole and the other part. F e GF... | |
 | Education - 1883 - 654 pages
...the nclrs at B, C, intersect each other in О and the opposite sides in 1 , E ; show that OD = OE. 2. To divide a given straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle,... | |
 | Stewart W. and co - 1884 - 272 pages
...; but DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — 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. It is required to divide AB into two parts,... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...equal and pifrallel straight lines towards the same parts, are also themselves equal and parallel. 2. 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 on the other part. (LEGENDRE.) 1. In an isosceles triangle... | |
 | University of Cambridge - 1884 - 624 pages
...contained by the whole and each of the parte are together equal to the square on the whole line. 5. 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. Prove that the rectangle contained by the... | |
 | 1884 - 266 pages
...points of intersection will be bisected at right angles by the straight line joining their centres. 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. 4. The angles in the same segment of a... | |
 | Alexander Knox - Calculus - 1884 - 196 pages
...variation of function =J rate of variation of angle *,=4, cos ^ = *, .'. angle = 60°. 4. Divide a straight line into two parts, so that the rectangle contained by the parts may be the greatest possible. Let o = the line, #=one of the parts, . '. a - .r = other part,... | |
 | 1885 - 608 pages
...double of the square on half the line and of the square on the line between the points of section. 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. •">. Prove that the sum of the squares... | |
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