 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.  Parliamentary Papers - Page 377by Great Britain. Parliament. House of Commons - 1853Full view - About this book
 | University of Oxford - Greek language - 1879 - 414 pages
...angle. 9. 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. 11. Inscribe an equilateral and equiangular hexagon in a given circle. 12. If two equal triangles have... | |
 | Oxford univ, local exams - 1880 - 396 pages
...and likewise the two interior angles upon the same side of it together equal to two right angles. 5. Divide a given straight line into two parts, so that...parts shall be equal to the square of the other part. 6. If the square described upon one of the sides of a triangle is equal to the squares described upon... | |
 | Samuel H. Winter - 1880 - 172 pages
...circle with a radius of 1£ in., touching the two smaller ones. 4. Divide a straight line 3-3 in. long into two parts, so that the rectangle contained by...parts shall be equal to the square of the other part. 5. Find both a mean1 and a third proportional to two straight lines 1-2 and 1-8 in. long. Measure and... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...to geometry divide a 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. If the solution is obtained by a quadratic equation and one root does not apply to the question as... | |
 | Institution of Surveyors (Great Britain). - Surveying - 514 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so...parts shall be equal to the square of the other part. 9. If in a circle two straight lines cut one another which do not both pass through the centre, they... | |
 | Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so...parts shall be equal to the square of the other part. 9. If in a circle two straight lines cut one another which do not both pass through the centre, they... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...equal to ike ifuar'e of Ike otter part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by...parts, shall be equal to the square of the other part. Upon AB describe (I. 46) the square CB. Bisect AC in E (I. 10), and join BE. Produce CA to F, and make... | |
 | William Thomas Knight - 1881 - 98 pages
...J?(bc)+q2(ca) + r>(ab) + (bc) (ca) (a -¿) = o. 49. Divide unity into two parts such that the product of the whole and one of the parts shall be equal to the square of the other part. Give the answer to three places of decimals. 50. Given ab - \(a + b) (p + q) +pg = o, Show that if... | |
 | 1882 - 486 pages
...be less than the other two sides of the triangle, but shall contain a greater angle. 4. To divide a straight line into two parts, so that the rectangle...parts, shall be equal to the square of the other part. 5. To describe a square that shall be equal to a given rectilineal figure. Euclid, Book III. 1. Equal... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...XI. PROBLEM. To divide a given straight line into tiro jiarts, so that the rectangle contained by ike whole and one of the parts shall be equal to the square on the ether part. & _ JJ 1C f Let AB be the given st. line. On AB descr. the sq. ADCB. Bisect AD in... | |
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