| 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... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...ABD. 33. The areas of circles are to each other as the squares described on their diameters : that is, **the areas of two circles are to each other as the squares** described on the diametres AB and CD. 39. If from any point of the circumference of a circle, a line... | |
| 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... | |
| 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,... | |
| 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,... | |
| James Stewart Eaton - Arithmetic - 1857 - 376 pages
...conversely, if the area is divided by .785398, the quotient will be the square of the diameter. 5. **The areas of two circles are to each other as the squares** of their radii, diameters or circumferences. FIG. 12. 6. The square described on the hypothenuse of... | |
| 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... | |
| Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. **The areas of two circles are to each other as the squares** of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and... | |
| Charles Davies - 1859 - 236 pages
...other as their bases. As two similar figures are to each other as the squares of therr like dimensions, **two circles are to each other as the squares of their diameters** or radii ; that is, the square of the radius of the second circle will be two-thirds the square of... | |
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