| Thomas Malton - 1774 - 440 Seiten
.... For, the Square of AC=AB D -)-BC D ; confequently, AC a is double EC, equal FH, a. But the Area's **of Circles are, to each other, as the Squares of their Diameters,** - - - - - - - - - C. i. i4. 6. therefore, the Circle ABCD is double FGHD. PRPOSiflON VIII. To make... | |
| Charles Hutton - 1807
...'05, theremainder T97 is the diameter of the powder cylinder within the bag: and because the areas **of circles are to each other as the squares of their diameters,** and the squares of these numbers, 1'97 and 2'02, being to each other as 308 to 408, or as 97 to 102;... | |
| Charles Hutton - 1811
...other in the same ratio as the diameters of the circles. o-. ED THEOREM XCI1I. 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 3D, 4i their diameters... | |
| Charles Hutton - 1812 - 485 Seiten
...the remainder 1-97 is !the diameter of the powder cylinder within the bag : and be-* >cause the areas **of circles are to each other as the squares of their diameters,** and the squares of these numbers, 1-97 and 2'02, being to each Other as 388 to 408, or as 97 to 102... | |
| Charles Hutton - 1822
...other in the same ratio as the diameters of the circles. <*. E. r>. THEOREM XCm. 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 0r spaces of two circles, and r> tl, their diameters ;... | |
| John Bonnycastle - 1829 - 252 Seiten
...areas or spaces of similar triangles are to each other as the squares of their like sides. 6. The areas **of circles are to each other as the squares of their diameters,** radii, or circumferences. 7. Similar figures are such as have the same number of sides, and the angles... | |
| John Milne - 1830 - 175 Seiten
...whose piston is 80 inches in diameter, and that of the induction pipe only 10 ; then, since the areas **of circles are to each other as the squares of their diameters,** we have 80* = 6400, and f 6400 10 =100; therefore, -^ = 64, which is the number of times the area of... | |
| William Grier - 1832 - 300 Seiten
...75. The circumferences of all circles are to each other as their diameters. 76. The areas or spaces **of circles, are to each other as the squares of their diameters,** or of their radii. PROBLEMS. 1. To bisect a line AB; that is, to divide it into equal parts. C From... | |
| William Templeton (engineer.) - 1833
...plain figures, or contains the greatest area within the same perimeter or outline. 2. — The areas **of circles are to each other as the squares of their diameters,** or of their radii. 3. — Any circle whose diameter is double that of another contains four times the... | |
| William Grier - 1836 - 344 Seiten
...74. The circumferences of all circles are to each other as their diameters. 75. The areas or spaces **of circles, are to each other as the squares of their diameters,** or of their radii. 76. The area of any circle, is equal to the rectangle ot half its circumference... | |
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