 Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line.  Hermathena - Page 1891883Full view - About this book
 | Euclides - Geometry - 1841 - 378 pages
...upon half the given line. 44. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given rectangle. 45. In a given circle to inscribe three equal circles, touching each other and the... | |
 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle contained by CF and FA is proved to be... | |
 | Cambridge univ, exam. papers - 1854 - 284 pages
...square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. 3. The opposite angles of any quadrilateral figure inscribed in a circle... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...tangent of the same circle be produced until they meet, the rectangle contained by the whole chord thus produced and the part produced shall be equal to the square of the tangent, that is, of the line letween its point of intersection with the chord produced and... | |
 | Euclides - 1855 - 270 pages
...line. PROP. E. PROBLEM. — To produce a given straight line, so that the rectangle ran taineil by the whole line thus produced and the part produced, shall be equal to a given square. BOOK III. DEFINITIONS. Ï. EQÜAX civcles are those of which the diameters are equal,... | |
 | Robert Potts - 1865 - 528 pages
...problem is contained in the construction : Produce a straight line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to the square on the original line. For the rectangle contained by AF, FA is manifestly equal to the square on CA or AB.... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...triangle BKD. n. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square on the given straight line. in. 22. If the opposite sides of the quadrilateral be produced to meet in P, Q,... | |
 | Benjamin Hallowell - Geometry - 1872 - 286 pages
...Discussion 6. FIG. 5 132 PROBLEM XXXII. — To produce a line of a given length so that the rectangle of the whole line thus produced, and the part produced, shall be equal to the square of a given line. (See IY. Prob. 4.*) p. I the length of ED, to produce it so n (that EA x AD = AB\... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...there? When is the problem impossible? 13. Produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given square. 14. Divide a line into two parts, so that the sum of the squares on the parts shall... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...(8, 6, 4) (6, 4, 2)? 27. Produce a straight line so that the rectangle contained by the whole .line and the part produced shall be equal to the square on the given straight line. 28. Produce a straight line so that the rectangle contained by the given line... | |
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