 | Bristol Mining School - Geology - 1859 - 312 pages
...to force water into a large cylinder, the piston of which is moved by the force transmitted. Now, as areas of circles are to each other as the squares of their diameters, it is plain that if the diameter of the plunger be one inch, and that of the piston 30 inches, a force... | |
 | Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...contains a greater area than any other plane figure, bounded by an equal perimeter, or outline. 2. The areas of circles are to each other as the squares of their diameters ; any circle twice the diameter of another contains four times the area of the other. 3. The diameter... | |
 | Alfred Henry Alston - Hydrographic surveying - 1860 - 498 pages
...perimeter, or outline. 2. Circumference=3'1415926 of diameter. 3. Diameter = 0'31831 of circumference. 4. Areas of circles are to each other as the squares of their diameters , .( square of diameter x 7854. I square of circumference x '07958. 6. Diameter = square root of area... | |
 | James Stewart Eaton - Arithmetic - 1861 - 376 pages
...the same figures that indicate the ratio of the circumference to the diameter. 4.77. Now, since the areas of circles are to each other as the squares of their diameters, or as the squares of their radii (330, 5), we have from the two preceding examples, To find the area... | |
 | Daniel Adams - Arithmetic - 1861 - 452 pages
...grind down, the waste hole, through which the spindle passes, being 5 inches square ? NOTE 4. — The areas of circles are to each other, as the squares of their diameters. Ans. 6-675949 in., A grinds ; 10-310898 in., B grinds ; 11-942086 in., C grinds. 85. Divide $90, so... | |
 | William Grier - Mechanical engineering - 1861 - 316 pages
...find that, 2772 — — - = 77 inches, 36 nearly equal to the area of the pump's bore ; now the area of circles are to each other as the squares of their diameters, and the area of a circle whose diameter is 9, is 63-6: therefore, 63-6 : 77 : : 9" : 98, the square... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...of the second ratio iii the first proportion by 2, we have С : С' : : 2 R : 2 r. 378. Cor. 2. The areas of circles are to each other as the squares of their diameters. For, multiplying the second ratio of the second proportion by 4, or 2 squared, we have Л: A' : : 4... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...terms of the second ratio in the first proportion by 2, we have C : C' : : 2 B : 2 r. 378. Cor. 2. The areas of circles are to each other as the squares of their diameters. For, multiplying the second ratio of the second proportion by 4, or 2 squared, we have A: A' : : 4... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...terms of the second ratio in the first proportion by 2, we have C : C' : : 2 R : 2 r. 378. Cor. 2. The areas of circles are to each other as the squares of their diameters. For, multiplying the second ratio of the second proportion by 4, or 2 squared, we have A: A' : : 4... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...triangle whose base is 12 'feet? By Proportion, 103 : 122= 15 : 21.6 square feet, Ans. 4-7O. II. The Areas of Circles are to each other as the squares of their diameters, semi-diameters, and circumferences. ILL. Ex. If a pipe of 2 inches diameter will empty a cistern in... | |
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The areas of circles are to each other as the squares of their diameters. 
