 | Jean-Louis Boucharlat - 1828 - 480 lapas
...the line, to which that root corresponds. Fig- 2' Ex. 2. To dhidf a given straight line AB (fig. 2) into two parts, so that the rectangle contained by the parts may be equal to a given square. Let c be a side of the square, a the given line, x one of the parts, and therefore... | |
 | Euclides - 1858 - 136 lapas
...beinij ijivru. ihr .«'iíe». o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a 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. SoL. 46. I, 10. I, 3. I.... | |
 | Edward Harri Mathews - 1879 - 94 lapas
...the line between the points of section is equal to .the square on half the line. Hence show how to divide a line into two parts so that the rectangle contained by them may be a maximum. 3. In every triangle the square on the side subtending an acute angle is less... | |
 | Elizabethan club - 1880 - 156 lapas
...parts together with twice the 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... | |
 | George Albert Wentworth - 1881 - 406 lapas
...the sum of the squares on these two parts may be the least possible. 11. Divide a line 20 in. long into two parts so that the rectangle contained by the parts may be the greatest possible. 12. Find the fraction which has the greatest excess over its square. 235. Two... | |
 | Euclides - 1883 - 176 lapas
...made up of the half and the part produced. — (En. II. 6.) 9. Divide a given straight line internally into two parts so that the rectangle contained by the parts may be a maximum (ie, the greatest possible). 10. How should a straight line be divided into two parts so that the sum... | |
 | Alexander Knox (B.A.) - 1884 - 210 lapas
...minimum. 107. We will conclude this part of the subject with one more example. " Divide a straight line into two parts, so that the rectangle contained by the parts may be a maximum." Let « be the straight line, and x one of the parts, a - #=other part, and the rectangle = (a — x(* or... | |
 | Alexander Knox - 1884 - 196 lapas
...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, then rectangle... | |
 | Queen's University (Kingston, Ont.) - 1886 - 900 lapas
...in D. Prove that С A* - CD* = AD.DB, and show in what sense this relation is universally true. 2. Divide a line into two parts so that the rectangle contained by the parts may be equal to the differences of the squares upon the parts. 3. If a chord be drawn from the point of contact... | |
 | Walter William Rouse Ball - 1890 - 512 lapas
...Find the least value which the expression a?-6.v+W can have for any real value of x. Let x* Ex. 2. Divide a line into two parts so that the rectangle contained by them shall be a maximum. Let the length of the line be a ; that is, suppose that it contains a units... | |
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When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 
