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" The areas of circles are to each other as the squares of their diameters, or of their radii. "
BUYERS' GUIDE TO MERCHANDISE - Seite 197
1873
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

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...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

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;...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

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...
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Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

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 ;...
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An Introduction to Mensuration and Practical Geometry

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...
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A Practical View of the Steam Engine: Illustrated by Engravings of the ...

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...
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The Mechanic's Calculator, Or Workman's Memorial Book, Etc

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...
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The millwright & engineer's pocket companion

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...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

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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