 | Robert Potts - 1855 - 1050 pages
...Norman window consists of a rectangle surmounted by a semicircle. Having given the periphery, determine the height and breadth of the window when the quantity of light admitted is the greatest possible. 14. Find the equation to the curve in which a chain acted on by gravity will... | |
 | Isaac Todhunter - Calculus, Differential - 1860 - 436 pages
...side of the square that the remainder may form a box of maximum content. ™ ., а + Ъ The side = 30. A Norman window consists of a rectangle surmounted...when the quantity of light admitted is a maximum. The radius of the semicircle must equal the height of the rectangle. 31. Shew that the altitude of... | |
 | Isaac Todhunter - Differential calculus - 1864 - 470 pages
...the sides of which the side of the square that the remainder may form a box of maximum content. 30. A Norman window consists of a rectangle surmounted...when the quantity of light admitted is a maximum. The radius of the semicircle must equal the height of the rectangle. 31. Shew that the altitude of... | |
 | John Minot Rice, William Woolsey Johnson - Differential calculus - 1875 - 102 pages
...the least expense may be incurred. The side parallel to the wall is double each of the others. 12. A Norman window consists of a rectangle surmounted...when the quantity of light admitted is a maximum. The radins of the semicircle is equal to the height of i the rectangle. 13. Prove that the rectangle... | |
 | John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 486 pages
...the base is evidently a square, and the altitude is that of the maximum cylinder. See Ex. XV, 9. 7. A Norman window consists of a rectangle surmounted...when the quantity of light admitted is a maximum. The radius of the semicircle is equal to the height of the rectangle. 8. A tinsmith was ordered to... | |
 | John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 464 pages
...the base is evidently a square, and the altitude is that of the maximum cylinder. See Ex. XV, 9. V 7. A Norman window consists of a rectangle surmounted...when the quantity of light admitted is a maximum. The radius of the semicircle is equal to the height of the rectangle. vj 8. A tinsmith was ordered... | |
 | James Morford Taylor - Calculus - 1884 - 270 pages
...cone being at the centre of the base of the given cone. Ans. The ratio of their altitudes is %. 12. A Norman window consists of a rectangle surmounted...semicircle. Given the perimeter, required the height and the breadth of the window when the quantity of light admitted is a maximum. MAXIMA AND MINIMA. f. 13.... | |
 | James Morford Taylor - 1885 - 278 pages
...cone being at the centre of the base of the given cone. Ans. The ratio of their altitudes is |. 12. A Norman window consists of a rectangle surmounted...by a semicircle. Given the perimeter, required the heisrht and the breadth of the window when the quantity- of light admitted is a maximum. MAXIMA AND... | |
 | Joseph Edwards - Differential calculus - 1886 - 540 pages
...=-^, ,-2 we may deduce the value of dy dz ~, ->-, test its sign for the values of x, y, z found. Ex. A Norman window consists of a rectangle surmounted by a semicircle. Given the perimeter, show that, when the quantity of light admitted is a maximum, the radius of the semicircle must equal... | |
 | William Elwood Byerly - 1888 - 284 pages
...whence D x y = — 1 ; (3) D x u = xD x y + y=-x + y, by (3), D. 2 «=-l+Dy=-ll=-2, by (3). and D2u is negative ; therefore the required maximum rectangle...breadth must be equal. 49. After finding the values of a; which make , ae problem, and so to avoid the labor of investigating the econd derivative. EXAMPLES.... | |
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A Norman window consists of a rectangle surmounted by a semicircle. Given the perimeter, required the height and breadth of the window when the quantity of light admitted is a maximum. Ans. 
