| Jean-Louis Boucharlat - Calculus - 1828 - 398 pages
...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
...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
...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
...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 - Algebra - 1881 - 380 pages
...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
...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
...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 - Calculus - 1884 - 112 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, then rectangle... | |
| Queen's University (Kingston, Ont.) - 1886
...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 - 486 pages
...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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