 | Thomas Leybourn - Mathematics - 1817 - 454 pages
...the rectangle oc X AF : hence, since OF r: oc, we have OA := AF, or 2AF — OF — oc. Then, since circles are to each other as the squares of their diameters, the area of the circle of which oc is the diameter, is quadruple the area of the circle DBF : and consequently the... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...the diameter did each grind down ? 706-86 — 28 •2744=678-5856, the fourth of which is 169-6464, and as circles are to each other as the squares of their diameters, therefore we have 706-86 : (706-86— 169-6464) = 53/-2136 :: 30' is to the diameter square of the... | |
 | William Benjamin Carpenter - 1843 - 610 pages
...convey no more blood than the single trunk. For, according to a simple rule in geometry, the ami* of circles are to each other as the squares of their diameters. The area of the trunk is expressed, therefore, by the square of 10^, which is almost exactly 102. The areas of the... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
..." Square the diameter of the given circle, and multiply by .7854 for the area." Yet admitting that circles are to each other as the squares of their diameters, the reason is obvious enough. The Permutation and Combination of quantities, and the doctrine of chances,... | |
 | Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...o^ 3.141592 we shall obtain the area of a circle whose diameter is 1. Thus, 3.141592 -*-4 = .785398. And as circles are to each other as the squares of their diameters (see page 246), therefore, if we wish to obtain the area of a circle whose diameter is 20 feet, we... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
..." Square the diameter of the given circle, and multiply by .7854 for the area." Yet admitting that circles are to each other as the squares of their diameters, the reason is obvious enough. The Permutation and Combination of quantities, and the doctrine of chances,... | |
 | Thomas Main, Thomas Brown (of the Royal Naval College) - Marine engines - 1857 - 130 pages
...the cylinder ; find also, the capacity of the pump, supposing it to be similar to the cylinder. Since circles are to each other as the squares of their diameters, the area of the air-pump bucket is £th that of the piston. Hence its area = =1486 - 1675 square inches, i .1 v , /itou-1675... | |
 | William Benjamin Carpenter - Physiology, Comparative - 1859 - 630 pages
...convey no more blood than the single trunk. Fof, according to a simple rule in geometry, the areas of circles are to each other as the squares of their diameters. The area of the trunk is expressed, therefore, by the square of 1(H, which is almost exactly 102. The area of each... | |
 | Janes Boddely Keene - 1861 - 104 pages
...with 46-02, or just over 46 inches. Now, remembering the relations of similar figures, we know that circles are to each other as the squares of their diameters ; the square of the diameter of 6 circular gallons should therefore be 6 times the square of 1 circular gallon;... | |
 | 1862 - 756 pages
...maximum dilatation observed during delirium in each case was that which was used in the calculations. From the mean of observations in 106 patients, the...but in none of them was it smaller during delirium, and in no other case was it observed to be so, except where opium had been taken. drinking up to the... | |
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... circles are to each other as the squares of their diameters, the area of the pupil was doubled during delirium, being as 100 to 49. 
