 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...similar 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 - Sheet-metal work - 1866 - 216 pages
...Circle 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... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...each other in the same ratio as the diameters of the circles. QED THEORESI xv. 4 The areas or spaces of circles are to each other as the squares of their diameters or of their radii, Let A, a denote the areas or spaces of two circles, and D, d their diameters ; then... | |
 | Richard Nelson - Arithmetic - 1867 - 304 pages
...square piece of land which contains 25600 acres? Answers: 28, 168, 162, 160, 2023.85+. 288. The surfaces of circles are to each other as the squares of their diameters or circumferences. 289. A triangle is a figure having three sides and three angles, or corners. If... | |
 | Washington Hudson - 1868 - 80 pages
...Therefore, a circle having its diameter equal to the radius of another, will contain one quarter the area. The areas of circles are to each other as the squares of their diameters. Fio. 113. To divide the circumference of a circle by means of angles set off from, a tangent. If a... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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... | |
 | James Smith - Circle-squaring - 1869 - 459 pages
...its'area be represented by any finite number, say 75, and be given to find the area of the square EKP R. Then : Since the areas of circles are to each other as the squares of their radii, it follows of necessity, that y-^L__ = radius in every circle ; therefore, / Z? ....... | |
 | James Smith - Mathematics - 1869 - 492 pages
...its.area be represented by any finite number, say 75, and be given to find the area of the square EKP R. Then : Since the areas of circles are to each other as the squares of their radii, it follows of necessity, that y area = radius in every circle; therefore, / 75 —... | |
 | Thomas Newbigging - Gas manufacture and works - 1870 - 242 pages
...1030 - 1000 + 5 = 6 degrees of Twaddel. EPITOME OF MENSURATION. Of the Circle, Cylinder, and Sphere. The areas of circles are to each other as the squares of their diameters. The diameter of a circle being 1, its circumference equals 3-1416. The diameter of a circle is equal... | |
 | James Smith - Circle-squaring - 1872 - 330 pages
...an inscribed circle to the square ECG F. And, let c denote the area of the circle Y. Then : Because the areas of circles are to each other as the squares of their diameters ; or, in other words, since the areas of circles are to each other as the areas of their circumscribing... | |
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The areas of circles are to each other as the squares of their diameters. 
