 | James Stewart Eaton - 1861 - 376 Seiten
...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 - 1861 - 452 Seiten
...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... | |
 | Benjamin Greenleaf - 1862 - 518 Seiten
...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 - 1862 - 532 Seiten
...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... | |
 | Henry S. Merrett - 1863 - 476 Seiten
...outline. 2. The areas of circles are to each other as the squares of the diameters, or of their radii. 3. Any circle whose diameter is double that of another, contains four times the area of the other. 4. The area of a circle is equal to the area of a triangle, whose base is equal to the circumference... | |
 | Henry S. Merrett - 1863 - 428 Seiten
...outline. 2. The areas of circles are to each other as the squares of the diameters, or of their radii. 3. Any circle whose diameter is double that of another, contains four times the area of the other. 4. The area of a circle is equal to the area of a triangle, whose base is equal to the circumference... | |
 | Benjamin Greenleaf - 1863 - 504 Seiten
...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 - 1864 - 376 Seiten
...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... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - 1865 - 354 Seiten
...triangle whose base is 12 feet? By Proportion, 10« ; 123= 15 . 21.6 square feet, Ans. 470. 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... | |
 | Leroy J. Blinn - 1866 - 216 Seiten
...contains a greater area than any other plain figure bounded by the same 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. Fig. 7. 3. The radius of a... | |
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The areas of circles are to each other as the squares of their diameters, or of their radii. 
